diff --git a/tutorials/CLO.ipynb b/tutorials/CLO.ipynb new file mode 100644 index 0000000..e8ad7dd --- /dev/null +++ b/tutorials/CLO.ipynb @@ -0,0 +1,701 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "'clo' (Interferometric Closure Phase) Dataset\n", + "====================================\n", + "\n", + "Background\n", + "-----------------\n", + "\n", + "See [Interferometric Visibility](VIS.ipynb) for an introduction.\n", + "\n", + "Another observable is the complex triple product T_3. It is defined for 3 telescopes as:\n", + "\n", + "`T_3 = mu_1 mu_2 mu_3`\n", + "\n", + "where the complex visibilities correspond to 3 different baselines, denoted u1, v1, u2, v2, u3, v3.\n", + "Because u3 = -(u1+u2), v3 = -(v1+v2), the measurement is perfomed on a 'triangle' of telescopes.\n", + "\n", + "```\n", + " u3,v3 \n", + " \n", + " o----o \n", + " | / \n", + "u1,v1 | / \n", + " | / u2,v2\n", + " |/ \n", + " o \n", + " \n", + "```\n", + "\n", + "From this, one obtains the closure phase arg T_3 and the triple product amplitude |T_3|.\n", + "Interestingly, the phase is not affected by seeing; the measurement is self-calibrating.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Setup\n", + "--------\n", + "\n", + "As a preparatory task, we create a file `Clo.dat`:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "f = open(\"Clo.dat\", \"w\")\n", + "f.write(\"# time u1 v1 u2 v2 wavelength bandwidth clo sigma\\n\")\n", + "\n", + "t = 0.0 # d\n", + "u1 = 50.0 # m\n", + "v1 = 100.0 # m\n", + "u2 = 250.0 # m\n", + "v2 = 200.0 # m\n", + "wavelength = 550.0e-9 # m\n", + "bandwidth = 100.0e-9 # m\n", + "clo = 0.0 # 1\n", + "sigma = 0.1 # 1\n", + "\n", + "dt = 0.05 # d\n", + "while t <= 1.0+0.5*dt:\n", + " f.write(\"%.8f %.8e %.8e %.8e %.8e %.8e %.8e %.8f %.8f\\n\" % (t, u1, v1, u2, v2, wavelength, bandwidth, clo, sigma))\n", + " t += dt\n", + "\n", + "f.close()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note: Make sure to have the latest version of PHOEBE 2.5 installed (uncomment this line if running in an online notebook session such as colab)." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "#!pip install -I \"phoebe>=2.5,<2.6\"" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "As always, let's do imports and add a new Bundle." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import phoebe\n", + "\n", + "b = phoebe.default_binary()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Parameters\n", + "----------------\n", + "\n", + "Next read `Clo.dat` back and add the corresponding 'clo' dataset:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "\n", + "times, u1, v1, u2, v2, wavelengths, clos, sigmas = np.loadtxt(\"Clo.dat\", usecols=[0, 1, 2, 3, 4, 5, 7, 8], unpack=True)\n", + "\n", + "b.add_dataset('clo', times=times, u1=u1, v1=v1, u2=u2, v2=v2, wavelengths=wavelengths, clos=clos, sigmas=sigmas, passband='Johnson:V')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To verify:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ParameterSet: 14 parameters\n", + " times@clo01@dataset: [0. 0.05 0.1 ... 0.9 0.95 1. ] d\n", + " u1@clo01@dataset: [50. 50. 50. ... 50. 50. 50.] m\n", + " v1@clo01@dataset: [100. 100. 100. ... 100. 100. 100.] m\n", + " u2@clo01@dataset: [250. 250. 250. ... 250. 250. 250.] m\n", + " v2@clo01@dataset: [200. 200. 200. ... 200. 200. 200.] m\n", + " wavelengths@clo01@dataset: [5.5e-07 5.5e-07 5.5e-07 ... 5.5e-07 5.5e-07\n", + " 5.5e-07] m\n", + " clos@clo01@dataset: [0. 0. 0. ... 0. 0. 0.]\n", + " compute_times@clo01@dataset: [] d\n", + " sigmas@clo01@dataset: [0.1 0.1 0.1 ... 0.1 0.1 0.1]\n", + " if_method@clo01@dataset: integrate\n", + " passband@clo01@dataset: Johnson:V\n", + " intens_weighting@clo01@dataset: energy\n", + " ld_mode@primary@clo01@dataset: interp\n", + " ld_mode@secondary@clo01@dat...: interp\n" + ] + } + ], + "source": [ + "print(b.get_dataset(kind='clo'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### times\n", + "To see explanations:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: times@clo01@dataset\n", + " Qualifier: times\n", + " Description: Observed times\n", + " Value: [0. 0.05 0.1 ... 0.9 0.95 1. ] d\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(kind='clo', qualifier='times', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### u1\n", + "Alternatively, one can use the `twig` syntax.\n", + " \n", + "Note: Here, u coordinate is in metres. Above, (u, v) = B/lambda was in cycles per baseline." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: u1@clo01@dataset\n", + " Qualifier: u1\n", + " Description: Observed baseline u\n", + " Value: [50. 50. 50. ... 50. 50. 50.] m\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['u1@clo01@clo@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### v1" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: v1@clo01@dataset\n", + " Qualifier: v1\n", + " Description: Observed baseline v\n", + " Value: [100. 100. 100. ... 100. 100. 100.] m\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['v1@clo01@clo@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### u2" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: u2@clo01@dataset\n", + " Qualifier: u2\n", + " Description: Observed baseline u\n", + " Value: [250. 250. 250. ... 250. 250. 250.] m\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['u2@clo01@clo@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### v2" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: v2@clo01@dataset\n", + " Qualifier: v2\n", + " Description: Observed baseline v\n", + " Value: [200. 200. 200. ... 200. 200. 200.] m\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['v2@clo01@clo@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### wavelengths" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: wavelengths@clo01@dataset\n", + " Qualifier: wavelengths\n", + " Description: Observed wavelengths\n", + " Value: [5.5e-07 5.5e-07 5.5e-07 ... 5.5e-07 5.5e-07 5.5e-07] m\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['wavelengths@clo01@clo@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### clos\n", + "Note: Here, clos is in degrees!" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: clos@clo01@dataset\n", + " Qualifier: clos\n", + " Description: Observed interferometric closure phase arg T_3\n", + " Value: [0. 0. 0. ... 0. 0. 0.]\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['clos@clo01@clo@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### sigmas" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: sigmas@clo01@dataset\n", + " Qualifier: sigmas\n", + " Description: Observed uncertainty of visibility\n", + " Value: [0.1 0.1 0.1 ... 0.1 0.1 0.1]\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['sigmas@clo01@clo@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### if_method\n", + "One can choose either a simple model, assuming a limb-darkened disk(s), or a complex model, with integration over meshes --- i.e., applicable to contact or eclipsing binaries." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: if_method@clo01@dataset\n", + " Qualifier: if_method\n", + " Description: Method to use for computing interferometric visibility (must be integrate for eclipse effects)\n", + " Value: integrate\n", + " Choices: integrate, simple\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(qualifier='if_method', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### passband\n", + "Passband should be in agreement with the wavelenghts, because individual wavelengths are *not* used for computations of mesh intensities. If the range of wavelengths is too extended (V, R, I, ...), split the respective datasets, please." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: passband@clo01@dataset\n", + " Qualifier: passband\n", + " Description: Passband\n", + " Value: Johnson:V\n", + " Choices: LSST:u, SDSS:gprime, SSDSS:gs, SDSS:iprime, SDSS:i, SDSS:rprime, Tycho:B, Tycho:V, Gaia:BP, SDSS:r, Johnson:I, Stromgren:y, LSST:i, PanStarrs:r, KELT:R, Johnson:B, SSDSS:is, ZTF:i, BRITE:red, Cousins:R, Gaia:G, Gaia:RP, Johnson:H, PanStarrs:w, SDSS:zprime, SDSS:uprime, SWASP:default, Stromgren:u, SWASP:pre2004, Johnson:R, PanStarrs:i, BRITE:blue, TESS:T, SSDSS:us, PanStarrs:y, SDSS:u, ZTF:r, LSST:y3, LSST:r, Kepler:mean, PanStarrs:g, Stromgren:v, Johnson:J, LSST:g, LSST:z, ZTF:g, SSDSS:zs, SSDSS:rs, Johnson:K, Johnson:V, SDSS:g, Cousins:I, PanStarrs:z, Stromgren:b, Gaia:RVS, SDSS:z, Hipparcos:Hp, PanStarrs:open, Johnson:U, Bolometric:900-40000\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(qualifier='passband', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Of course, one has to set up the distance, because 'everything' is affected by angular dimensions! Moreover, we alter the inclination and temperature (cf. photocentre motions below)." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "from astropy import units\n", + "\n", + "b.set_value('distance', context = 'system', value=100*units.pc)\n", + "b.set_value('incl@binary@orbit', value=80*units.deg)\n", + "b.set_value('teff@secondary@component', value=5000.0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Model\n", + "---------\n", + "\n", + "Eventually, a computation is run as:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 21/21 [00:06<00:00, 3.20it/s]\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.run_compute()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I already know that I can print:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ParameterSet: 8 parameters\n", + "R times@latest@model: [0. 0.05 0.1 ... 0.9 0.95 1. ] d\n", + "R u1@latest@model: [50. 50. 50. ... 50. 50. 50.] m\n", + "R v1@latest@model: [100. 100. 100. ... 100. 100. 100.] m\n", + "R u2@latest@model: [250. 250. 250. ... 250. 250. 250.] m\n", + "R v2@latest@model: [200. 200. 200. ... 200. 200. 200.] m\n", + "R wavelengths@latest@model: [5.5e-07 5.5e-07 5.5e-07 ... 5.5e-07 5.5e-07\n", + " 5.5e-07] m\n", + "R clos@latest@model: [-1.7889101 -1.55014961 -4.82364179 ... 17.99179452\n", + " 1.84502222 -1.7889101 ]\n", + " if_method@latest@model: integrate\n" + ] + } + ], + "source": [ + "print(b.get_model(kind='clo'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To save results:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "times = b['times@clo01@phoebe01@latest@clo@model'].value\n", + "u1 = b['u1@clo01@phoebe01@latest@clo@model'].value\n", + "v1 = b['v1@clo01@phoebe01@latest@clo@model'].value\n", + "u2 = b['u2@clo01@phoebe01@latest@clo@model'].value\n", + "v2 = b['v2@clo01@phoebe01@latest@clo@model'].value\n", + "wavelengths = b['wavelengths@clo01@phoebe01@latest@clo@model'].value\n", + "clos = b['clos@clo01@phoebe01@latest@clo@model'].value\n", + "\n", + "np.savetxt('model.out', np.c_[times, u1, v1, u2, v2, wavelengths, clos], header='times u1 v1 u2 v2 wavelenghts clos')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting\n", + "-----------\n", + "\n", + "To plot results:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(,\n", + "
)" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.plot(show=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "arg T_3 vs. time is mostly sensitive to photocentre motions of `b.default_binary()`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/tutorials/Clo.dat b/tutorials/Clo.dat new file mode 100644 index 0000000..a2ac984 --- /dev/null +++ b/tutorials/Clo.dat @@ -0,0 +1,22 @@ +# time u1 v1 u2 v2 wavelength bandwidth clo sigma +0.00000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.05000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.10000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.15000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.20000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.25000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.30000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.35000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.40000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.45000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.50000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.55000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.60000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.65000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.70000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.75000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.80000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.85000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.90000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.95000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +1.00000000 5.00000000e+01 1.00000000e+02 2.50000000e+02 2.00000000e+02 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 diff --git a/tutorials/SED.ipynb b/tutorials/SED.ipynb new file mode 100644 index 0000000..490a744 --- /dev/null +++ b/tutorials/SED.ipynb @@ -0,0 +1,626 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "'sed' (Spectral Energy Distribution) Dataset\n", + "===================================\n", + "\n", + "Setup\n", + "--------\n", + "\n", + "As a preparatory task, we create a file `Sed.dat`, containing common spectroscopic data. Apart from times, we also need wavelengths. For simplicity, the \"observed\" flux was set to 0.0. Of course, in real life this value is observed (in W m^-2 m^-1 units)." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "f = open(\"Sed.dat\", \"w\")\n", + "f.write(\"# time wavelength flux sigma\\n\")\n", + "\n", + "t = 0.0 # d\n", + "wave1 = 6500.0e-10 # m\n", + "wave2 = 6600.0e-10 # m\n", + "dwave = 0.1e-10 # m\n", + "flux = 0.0 # W m^-2 m^-1, at Earth\n", + "sigma = 1.0e-8 # ditto\n", + " \n", + "wave = wave1\n", + "while wave < wave2+0.5*dwave:\n", + " f.write(\"%.8f %.8e %.8f %.8f\\n\" % (t, wave, flux, sigma))\n", + " wave += dwave\n", + " \n", + "f.close()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Modelling of SED requires a grid of absolute synthetic spectra (usually, >>10 GB). Here, a tiny 'test' grid will be used, so that this tutorial works without any installation; it is set up by the gridlist_ABS file, located in the current directory. Each file contains a single spectrum (wavelength in A, monochromatic flux in erg s^-1 cm^-2 A^-1, at stellar surface).\n", + "```\n", + "# filename Teff logg Z mu\n", + "grids_ABS/TEST/lte05900-4.00-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 5900 4.00 1.0 1.0\n", + "grids_ABS/TEST/lte05900-4.50-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 5900 4.50 1.0 1.0\n", + "grids_ABS/TEST/lte06000-4.00-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 6000 4.00 1.0 1.0\n", + "grids_ABS/TEST/lte06000-4.50-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 6000 4.50 1.0 1.0\n", + "grids_ABS/TEST/lte06100-4.00-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 6100 4.00 1.0 1.0\n", + "grids_ABS/TEST/lte06100-4.50-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 6100 4.50 1.0 1.0\n", + "```\n", + "If the file is located elsewhere, one can initialize the spectroscopic module as folows." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#from phoebe.backend import pyterpolmu\n", + "#from phoebe.backend import spectroscopy\n", + "#spectroscopy.sg2 = pyterpolmu.SyntheticGrid(gridlist='/path/to/gridlist')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note: Make sure to have the latest version of PHOEBE 2.5 installed (uncomment this line if running in an online notebook session such as colab)." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "#!pip install -I \"phoebe>=2.5,<2.6\"" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "As always, let's do imports and add a new Bundle." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import phoebe\n", + "\n", + "b = phoebe.default_binary()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Parameters\n", + "----------------\n", + "\n", + "Next read `Sed.dat` back and add the corresponding 'sed' dataset:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "\n", + "times, wavelengths, fluxes, sigmas = np.loadtxt(\"Sed.dat\", usecols=[0, 1, 2, 3], unpack=True)\n", + "\n", + "b.add_dataset('sed', times=times, wavelengths=wavelengths, fluxes=fluxes, sigmas=sigmas)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To verify:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ParameterSet: 10 parameters\n", + " times@sed01@dataset: [0. 0. 0. ... 0. 0. 0.] d\n", + " wavelengths@sed01@dataset: [6.5000e-07 6.5001e-07 6.5002e-07 ...\n", + " 6.5998e-07 6.5999e-07 6.6000e-07] m\n", + " fluxes@sed01@dataset: [0. 0. 0. ... 0. 0. 0.] W / m3\n", + " compute_times@sed01@dataset: [] d\n", + " sigmas@sed01@dataset: [1.e-08 1.e-08 1.e-08 ... 1.e-08 1.e-08 1.e-08] W / m3\n", + " sed_method@sed01@dataset: integrate\n", + " passband@sed01@dataset: Johnson:V\n", + " intens_weighting@sed01@dataset: energy\n", + " ld_mode@primary@sed01@dataset: interp\n", + " ld_mode@secondary@sed01@dat...: interp\n" + ] + } + ], + "source": [ + "print(b.get_dataset(kind='sed'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### times\n", + "To see explanations:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: times@sed01@dataset\n", + " Qualifier: times\n", + " Description: Observed times\n", + " Value: [0. 0. 0. ... 0. 0. 0.] d\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(kind='sed', qualifier='times', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### wavelengths\n", + "Alternatively, one can use the `twig` syntax." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: wavelengths@sed01@dataset\n", + " Qualifier: wavelengths\n", + " Description: Observed wavelengths\n", + " Value: [6.5000e-07 6.5001e-07 6.5002e-07 ... 6.5998e-07 6.5999e-07\n", + " 6.6000e-07] m\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['wavelengths@sed01@sed@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### fluxes" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: fluxes@sed01@dataset\n", + " Qualifier: fluxes\n", + " Description: Observed fluxes\n", + " Value: [0. 0. 0. ... 0. 0. 0.] W / m3\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['fluxes@sed01@sed@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### sigmas" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: sigmas@sed01@dataset\n", + " Qualifier: sigmas\n", + " Description: Observed uncertainty of flux\n", + " Value: [1.e-08 1.e-08 1.e-08 ... 1.e-08 1.e-08 1.e-08] W / m3\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['sigmas@sed01@sed@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### sed_method\n", + "One can choose either a simple model, assuming a uniform disk(s), or a complex model, with integration over meshes --- i.e., applicable to contact or eclipsing binaries." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: sed_method@sed01@dataset\n", + " Qualifier: sed_method\n", + " Description: Method to use for computing synthetic spectra (must be integrate for eclipse effects)\n", + " Value: integrate\n", + " Choices: integrate, simple\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(qualifier='sed_method', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Of course, one has to set up the distance, because the absolute flux is measured at Earth!" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "from astropy import units\n", + "\n", + "b.set_value('distance', context='system', value=1*units.au)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Model\n", + "---------\n", + "\n", + "Before we proceed, let's increase the resolution of meshes, to suppress artefacts on line profiles:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "b.set_value('ntriangles@primary', context='compute', value=2000)\n", + "b.set_value('ntriangles@secondary', context='compute', value=2000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since we use our own absolute spectra (i.e., not the atmospheres included in Phoebe), we have to account for the limb darkening by choosing an analytical limb-darkening law: " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "b.set_value_all('ld_mode', 'manual')\n", + "b.set_value_all('ld_func', 'linear')\n", + "b.set_value_all('ld_coeffs', [0.3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Eventually, a computation is run as:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 1/1 [00:00<00:00, 2.12it/s]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading file: grids_ABS/TEST/lte05900-4.00-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat\n", + "Loading file: grids_ABS/TEST/lte05900-4.00-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat\n", + "Loading file: grids_ABS/TEST/lte05900-4.50-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat\n", + "Loading file: grids_ABS/TEST/lte06000-4.00-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat\n", + "Loading file: grids_ABS/TEST/lte06000-4.50-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat\n", + "Loading file: grids_ABS/TEST/lte06100-4.00-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat\n", + "Loading file: grids_ABS/TEST/lte06100-4.50-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.run_compute()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, I know that I can print, e.g.:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ParameterSet: 4 parameters\n", + "R times@latest@model: [0. 0. 0. ... 0. 0. 0.] d\n", + "R wavelengths@latest@model: [6.5000e-07 6.5001e-07 6.5002e-07 ... 6.5998e-07\n", + " 6.5999e-07 6.6000e-07] m\n", + "R fluxes@latest@model: [1.54098175e+09 1.55175630e+09 1.55722616e+09 ...\n", + " 1.58258051e+09 1.58350739e+09 1.58427975e+09] W / m3\n", + " sed_method@latest@model: integrate\n" + ] + } + ], + "source": [ + "print(b.get_model(kind='sed'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To save results:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "times = b['times@sed01@phoebe01@latest@sed@model'].value\n", + "wavelengths = b['wavelengths@sed01@phoebe01@latest@sed@model'].value\n", + "fluxes = b['fluxes@sed01@phoebe01@latest@sed@model'].value\n", + "\n", + "np.savetxt('model.out', np.c_[times, wavelengths, fluxes], header='times wavelenghts fluxes')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting\n", + "-----------\n", + "\n", + "To plot results:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/mira/.local/lib/python3.9/site-packages/phoebe/dependencies/autofig/axes.py:1273: UserWarning: Attempting to set identical left == right == 0.0 results in singular transformations; automatically expanding.\n", + " ax.set_xlim(xlim)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(,\n", + "
)" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.plot(show=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Well, this was for a single time, wasn't it? It is much more interesting to see the dependence on wavelengths!" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(,\n", + "
)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.plot(x='wavelengths', marker='.', linestyle='-', show=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since the phase is 0.0, one of the stars is eclipsed. Consequently, the monochromatic flux F_nu corresponds approximately to the solar value, i.e., 2 x 10^9 W m^-2 m^-1. Of course, if the time is modified (0.25), it should be twice as much...\n", + "\n", + "Note: A 'miniaturized' version of Pyterpol3 (Nemravová et al. 2016, A&A 594, A55) is used internally to interpolate synthetic spectra. Supported grids include: OSTAR, BSTAR, POLLUX, or PHOENIX. They must be downloaded (http://sirrah.troja.mff.cuni.cz/~mira/xitau/) and present in the `grids_ABS` directory." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/tutorials/SPE.ipynb b/tutorials/SPE.ipynb new file mode 100644 index 0000000..79611cf --- /dev/null +++ b/tutorials/SPE.ipynb @@ -0,0 +1,618 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "'spe' (Spectroscopic) Dataset\n", + "========================\n", + "\n", + "Setup\n", + "--------\n", + "\n", + "As a preparatory task, we create a file `Spe.dat`, containing common spectroscopic data. Apart from times, we also need wavelengths. For simplicity, the \"observed\" flux was set to 1.0. Of course, in real life this value is observed (between 0 and 1), as read from FITS files." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "f = open(\"Spe.dat\", \"w\")\n", + "f.write(\"# time wavelength flux sigma\\n\")\n", + "\n", + "t = 0.25 # d\n", + "wave1 = 6500.0e-10 # m\n", + "wave2 = 6600.0e-10 # m\n", + "dwave = 0.1e-10 # m\n", + "flux = 1.0 # 1\n", + "sigma = 0.01 # 1\n", + " \n", + "wave = wave1\n", + "while wave < wave2+0.5*dwave:\n", + " f.write(\"%.8f %.8e %.8f %.8f\\n\" % (t, wave, flux, sigma))\n", + " wave += dwave\n", + " \n", + "f.close()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Modelling of spectra requires a grid of normalized synthetic spectra (usually, >>10 GB). Here, a tiny 'test' grid will be used, so that this tutorial works without any installation; it is set up by the gridlist file, located in the current directory. Each file contains a single spectrum (wavelength in A, normalized flux in 1)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```\n", + "# filename Teff logg Z mu\n", + "grids/TEST/AG05750g400v1.vis.1 5750 4.0 1.0 1.0\n", + "grids/TEST/AG05750g450v1.vis.1 5750 4.5 1.0 1.0\n", + "grids/TEST/AG06000g400v1.vis.1 6000 4.0 1.0 1.0\n", + "grids/TEST/AG06000g450v1.vis.1 6000 4.5 1.0 1.0\n", + "grids/TEST/AG06250g400v1.vis.1 6250 4.0 1.0 1.0\n", + "grids/TEST/AG06250g450v1.vis.1 6250 4.5 1.0 1.0\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note: Make sure to have the latest version of PHOEBE 2.5 installed (uncomment this line if running in an online notebook session such as colab)." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#!pip install -I \"phoebe>=2.5,<2.6\"" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "As always, let's do imports and add a new Bundle." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import phoebe\n", + "\n", + "b = phoebe.default_binary()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Parameters\n", + "----------------\n", + "\n", + "Next read `Spe.dat` back and add the corresponding 'spe' dataset:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "\n", + "times, wavelengths, fluxes, sigmas = np.loadtxt(\"Spe.dat\", usecols=[0, 1, 2, 3], unpack=True)\n", + "\n", + "b.add_dataset('spe', times=times, wavelengths=wavelengths, fluxes=fluxes, sigmas=sigmas, passband=\"Johnson:R\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To verify:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ParameterSet: 10 parameters\n", + " times@spe01@dataset: [0.25 0.25 0.25 ... 0.25 0.25 0.25] d\n", + " wavelengths@spe01@dataset: [6.5000e-07 6.5001e-07 6.5002e-07 ...\n", + " 6.5998e-07 6.5999e-07 6.6000e-07] m\n", + " fluxes@spe01@dataset: [1. 1. 1. ... 1. 1. 1.]\n", + " compute_times@spe01@dataset: [] d\n", + " sigmas@spe01@dataset: [0.01 0.01 0.01 ... 0.01 0.01 0.01]\n", + " spe_method@spe01@dataset: integrate\n", + " passband@spe01@dataset: Johnson:R\n", + " intens_weighting@spe01@dataset: energy\n", + " ld_mode@primary@spe01@dataset: interp\n", + " ld_mode@secondary@spe01@dat...: interp\n" + ] + } + ], + "source": [ + "print(b.get_dataset(kind='spe'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### times\n", + "To see explanations:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: times@spe01@dataset\n", + " Qualifier: times\n", + " Description: Observed times\n", + " Value: [0.25 0.25 0.25 ... 0.25 0.25 0.25] d\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(kind='spe', qualifier='times', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### wavelengths\n", + "Alternatively, one can use the `twig` syntax." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: wavelengths@spe01@dataset\n", + " Qualifier: wavelengths\n", + " Description: Observed wavelengths\n", + " Value: [6.5000e-07 6.5001e-07 6.5002e-07 ... 6.5998e-07 6.5999e-07\n", + " 6.6000e-07] m\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['wavelengths@spe01@spe@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### fluxes" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: fluxes@spe01@dataset\n", + " Qualifier: fluxes\n", + " Description: Observed fluxes\n", + " Value: [1. 1. 1. ... 1. 1. 1.]\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['fluxes@spe01@spe@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### sigmas" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: sigmas@spe01@dataset\n", + " Qualifier: sigmas\n", + " Description: Observed uncertainty of flux\n", + " Value: [0.01 0.01 0.01 ... 0.01 0.01 0.01]\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['sigmas@spe01@spe@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### spe_method\n", + "One can choose either a simple model, assuming a uniform disk(s), or a complex model, with integration over meshes --- i.e., applicable to contact or eclipsing binaries." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: spe_method@spe01@dataset\n", + " Qualifier: spe_method\n", + " Description: Method to use for computing synthetic spectra (must be integrate for eclipse effects)\n", + " Value: integrate\n", + " Choices: integrate, simple\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(qualifier='spe_method', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### passband\n", + "Passband should be in agreement with the wavelenghts, because individual wavelengths are *not* used for computations of mesh intensities. If the range of wavelengths is too extended (V, R, I, ...), split the respective datasets, please." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: passband@spe01@dataset\n", + " Qualifier: passband\n", + " Description: Passband\n", + " Value: Johnson:R\n", + " Choices: SDSS:gprime, Stromgren:u, Johnson:J, Walraven:V, ZTF:g, LSST:u, LSST:g, Ultracam:gs, ZTF:r_filter, Kepler:mean, SuperWASP:pre2004, SDSS:u, SDSS:iprime, BRITE:blue, Pan-Starrs:g, Gaia:BP, Pan-Starrs:r, Bolometric:900-40000, LSST:i, Hipparcos:Hp, SDSS:zprime, Johnson:V, Stromgren:b, ZTF:r, BRITE:red, Gaia:RVS, SMEI:white, Walraven:L, SDSS:i, SDSS:r, SDSS:g, Cousins:R, Pan-Starrs:y, SDSS:z, Walraven:U, Pan-Starrs:z, Tycho:B, SuperWASP:post2004, Ultracam:is, Walraven:W, Tycho:V, Gaia:G, Johnson:I, Ultracam:us, SDSS:uprime, Ultracam:zs, Johnson:U, Stromgren:y, Pan-Starrs:w, SDSS:rprime, Ultracam:rs, ZTF:g_filter, Johnson:H, ZTF:i, TESS:T, Johnson:B, ZTF:i_filter, KELT:R, Pan-Starrs:open, Cousins:I, LSST:z, LSST:r, Pan-Starrs:i, Johnson:R, Walraven:B, Gaia:RP, Johnson:K, LSST:y, Stromgren:v\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(qualifier='passband', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Model\n", + "---------\n", + "\n", + "Before we proceed, let's increase the resolution of meshes, to suppress artefacts on line profiles:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "b.set_value('ntriangles@primary', context='compute', value=2000)\n", + "b.set_value('ntriangles@secondary', context='compute', value=2000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Eventually, a computation is run as:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\r", + " 0%| | 0/1 [00:00" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.run_compute()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, I know that I can print, e.g.:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ParameterSet: 4 parameters\n", + "R times@latest@model: [0.25 0.25 0.25 ... 0.25 0.25 0.25] d\n", + "R wavelengths@latest@model: [6.5000e-07 6.5001e-07 6.5002e-07 ... 6.5998e-07\n", + " 6.5999e-07 6.6000e-07] m\n", + "R fluxes@latest@model: [0.95386854 0.95519496 0.9553242 ... 0.9830629\n", + " 0.98290127 0.98210346]\n", + " spe_method@latest@model: integrate\n" + ] + } + ], + "source": [ + "print(b.get_model(kind='spe'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To save results:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "times = b['times@spe01@phoebe01@latest@spe@model'].value\n", + "wavelengths = b['wavelengths@spe01@phoebe01@latest@spe@model'].value\n", + "fluxes = b['fluxes@spe01@phoebe01@latest@spe@model'].value\n", + "\n", + "np.savetxt('model.out', np.c_[times, wavelengths, fluxes], header='times wavelenghts fluxes')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting\n", + "-----------\n", + "\n", + "To plot results:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/mira/.local/lib/python3.9/site-packages/phoebe/dependencies/autofig/axes.py:1273: UserWarning: Attempting to set identical left == right == 0.25 results in singular transformations; automatically expanding.\n", + " ax.set_xlim(xlim)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(,\n", + "
)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.plot(show=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Well, this was for a single time, wasn't it? It is much more interesting to see the dependence on wavelengths!" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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)" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.plot(x='wavelengths', marker='.', show=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Halpha line is sensitive to teff, logg, rvs of binary components. In the model, an integral over mesh is computed, every triangle has its own synthetic spectrum, so the composite spectrum is influenced by rotation, Roche geometry, von Zeipel, or limb darkening.\n", + "\n", + "Note: A 'miniaturized' version of Pyterpol3 (Nemravová et al. 2016, A&A 594, A55) is used internally to interpolate synthetic spectra. Supported grids include: OSTAR, BSTAR, POLLUX, AMBRE, PHOENIX, or POWR. They must be downloaded (http://sirrah.troja.mff.cuni.cz/~mira/xitau/) and present in the `grids` directory." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/tutorials/Sed.dat b/tutorials/Sed.dat new file mode 100644 index 0000000..c2d27d7 --- /dev/null +++ b/tutorials/Sed.dat @@ -0,0 +1,102 @@ +# time wavelength flux sigma +0.25000000 6.50000000e-07 0.00000000 0.00000001 +0.25000000 6.50100000e-07 0.00000000 0.00000001 +0.25000000 6.50200000e-07 0.00000000 0.00000001 +0.25000000 6.50300000e-07 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b/tutorials/T3.ipynb new file mode 100644 index 0000000..d4037c0 --- /dev/null +++ b/tutorials/T3.ipynb @@ -0,0 +1,44 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "'t3' (Interferometric Triple Product) Dataset\n", + "===================================\n", + "\n", + "See [Interferometric Closure Phase](CLO.ipynb) for a description.\n", + "\n", + "The only difference is that 'clo' should be replaced by 't3'." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/tutorials/VIS.ipynb b/tutorials/VIS.ipynb new file mode 100644 index 0000000..10204d8 --- /dev/null +++ b/tutorials/VIS.ipynb @@ -0,0 +1,828 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "'vis' (Interferometric Visibility) Dataset\n", + "===============================\n", + "\n", + "Background\n", + "-----------------\n", + "\n", + "An interferometer measures *fringes*.\n", + "When an unresolved source is observed by 2 telescopes,\n", + "one can see the Airy disk (corresponding to the diameter D)\n", + "together with fringes originating from interference of light (corresponding to the baseline B).\n", + "In optical, the light from telescopes is kept coherent\n", + "with help of a delay line.\n", + "In radio, the signal from antennas is sent to a correlator\n", + "and processed off-line.\n", + "\n", + "```\n", + " * source \n", + " \n", + " ------------- wavefront \n", + " \n", + " | | | | 2 telescopes\n", + " |_| |_| diameter D \n", + " | | \n", + " \\---\\ /---/ baseline B \n", + " | | delay line \n", + " \\ / \n", + " \n", + " ||| fringes \n", + "```\n", + "\n", + "For a point-like, monochromatic source,\n", + "the intensity in the focal plane is simply:\n", + "\n", + "`I(alpha, alpha') = I_0 (1 + cos(k(alpha + alpha')B))`\n", + "\n", + "where\n", + "I_0 denotes the mean intensity,\n", + "k = 2 pi/lambda, the wave number,\n", + "alpha, alpha', the angles inside and in front of the instrument, and\n", + "B, the projected baseline.\n", + "\n", + "Note: For a general orientation, \\vec alpha, \\vec alpha', and (u, v) = \\vec B/lambda are used.\n", + "\n", + "For an extended, monochromatic source, we should integrate over alpha':\n", + "\n", + "`I(alpha) = \\int I(alpha, alpha') dalpha' = \\int I_0 dalpha' + Re \\int I_0 exp(-i k(alpha + alpha')B) dalpha'`\n", + "\n", + "where\n", + "Re denotes the real part.\n", + "Grouping together the terms dependent on alpha and alpha':\n", + "\n", + "`I(alpha) = I_0(1 + Re(mu(B) exp(-i k alpha B)))`\n", + "\n", + "`mu(B) = 1/I_0 \\int I(alpha') exp(-i k alpha' B) dalpha'`\n", + "\n", + "where\n", + "the complex factor mu(B) determines the *visibility* (contrast) of the fringes.\n", + "It corresponds to the spatial Fourier transform of the intensity of the source, I(alpha').\n", + "This is the statement of the van Cittert and Zernike theorem." + ] + }, + { + "attachments": { + "fringes_CHARA_10m.eps1.png": { + "image/png": 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+ } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![fringes_CHARA_10m.eps1.png](attachment:fringes_CHARA_10m.eps1.png)\n", + "\n", + "Example of an interferometric observation of a disk, phi = 1 mas, D = 1 m, B = 10 m, lambda = 550 nm, no seeing, no bandwidth." + ] + }, + { + "attachments": { + "fringes_CHARA_130m.eps1.png": { + "image/png": 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+ } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![fringes_CHARA_130m.eps1.png](attachment:fringes_CHARA_130m.eps1.png)\n", + "\n", + "Ditto for B = 130 m (w. rearranged pupils, i.e., constant # of fringes). A *drop* in visibility (contrast) of fringes is the goal!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Setup\n", + "--------\n", + "\n", + "As a preparatory task, we create a file `Vis.dat`, containing common interferometric data. Apart from times, we also need baselines (u, v) and wavelengths (and bandwidths). Here, an interferometer composed of 2 telescopes \"observed\" on baselines up to 330 m (like CHARA). For simplicity, the \"observed\" squared visibility |V|^2 = mu mu* was set to 0.0. Of course, in real life this value is observed (between 0 and 1), as read from OIFITS files." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "f = open(\"Vis.dat\", \"w\")\n", + "f.write(\"# time u v wavelength bandwidth vis sigma\\n\")\n", + "\n", + "t = 0.25 # d\n", + "u1 = 0.0 # m\n", + "u2 = 330.0 # m\n", + "du = 1.0 # m\n", + "v = 0.0 # m\n", + "wavelength = 550.0e-9 # m\n", + "bandwidth = 100.0e-9 # m\n", + "vis = 0.0 # 1\n", + "sigma = 0.1 # 1\n", + "\n", + "u = u1\n", + "while u < u2:\n", + " u += du\n", + " f.write(\"%.8f %.8e %.8e %.8e %.8e %.8f %.8f\\n\" % (t, u, v, wavelength, bandwidth, vis, sigma))\n", + "\n", + "u = 0.0 # m\n", + "v1 = 0.0 # m\n", + "v2 = 330.0 # m\n", + "dv = 1.0 # m\n", + "\n", + "v = v1\n", + "while v < v2:\n", + " v += dv\n", + " f.write(\"%.8f %.8e %.8e %.8e %.8e %.8f %.8f\\n\" % (t, u, v, wavelength, bandwidth, vis, sigma))\n", + "\n", + "f.close()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note: Make sure to have the latest version of PHOEBE 2.5 installed (uncomment this line if running in an online notebook session such as colab)." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#!pip install -I \"phoebe>=2.5,<2.6\"" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "As always, let's do imports and add a new Bundle." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import phoebe\n", + "\n", + "b = phoebe.default_binary()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Parameters\n", + "----------------\n", + "\n", + "Next read `Vis.dat` back and add the corresponding 'vis' dataset:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "\n", + "times, u, v, wavelengths, vises, sigmas = np.loadtxt(\"Vis.dat\", usecols=[0, 1, 2, 3, 5, 6], unpack=True)\n", + "\n", + "b.add_dataset('vis', times=times, u=u, v=v, wavelengths=wavelengths, vises=vises, sigmas=sigmas, if_method='integrate', passband='Johnson:V')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To verify:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ParameterSet: 12 parameters\n", + " times@vis01@dataset: [0.25 0.25 0.25 ... 0.25 0.25 0.25] d\n", + " u@vis01@dataset: [1. 2. 3. ... 0. 0. 0.] m\n", + " v@vis01@dataset: [ 0. 0. 0. ... 328. 329. 330.] m\n", + " wavelengths@vis01@dataset: [5.5e-07 5.5e-07 5.5e-07 ... 5.5e-07 5.5e-07\n", + " 5.5e-07] m\n", + " vises@vis01@dataset: [0. 0. 0. ... 0. 0. 0.]\n", + " compute_times@vis01@dataset: [] d\n", + " sigmas@vis01@dataset: [0.1 0.1 0.1 ... 0.1 0.1 0.1]\n", + " if_method@vis01@dataset: integrate\n", + " passband@vis01@dataset: Johnson:V\n", + " intens_weighting@vis01@dataset: energy\n", + " ld_mode@primary@vis01@dataset: interp\n", + " ld_mode@secondary@vis01@dat...: interp\n" + ] + } + ], + "source": [ + "print(b.get_dataset(kind='vis'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### times\n", + "To see explanations:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: times@vis01@dataset\n", + " Qualifier: times\n", + " Description: Observed times\n", + " Value: [0.25 0.25 0.25 ... 0.25 0.25 0.25] d\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(kind='vis', qualifier='times', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### u\n", + "Alternatively, one can use the `twig` syntax.\n", + " \n", + "Note: Here, u coordinate is in metres. Above, (u, v) = B/lambda was in cycles per baseline." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: u@vis01@dataset\n", + " Qualifier: u\n", + " Description: Observed baseline u\n", + " Value: [1. 2. 3. ... 0. 0. 0.] m\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['u@vis01@vis@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### v" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: v@vis01@dataset\n", + " Qualifier: v\n", + " Description: Observed baseline v\n", + " Value: [ 0. 0. 0. ... 328. 329. 330.] m\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['v@vis01@vis@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### wavelengths" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: wavelengths@vis01@dataset\n", + " Qualifier: wavelengths\n", + " Description: Observed wavelengths\n", + " Value: [5.5e-07 5.5e-07 5.5e-07 ... 5.5e-07 5.5e-07 5.5e-07] m\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['wavelengths@vis01@vis@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### vises" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: vises@vis01@dataset\n", + " Qualifier: vises\n", + " Description: Observed interferometric squared visibility |V|^2\n", + " Value: [0. 0. 0. ... 0. 0. 0.]\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['vises@vis01@vis@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### sigmas" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: sigmas@vis01@dataset\n", + " Qualifier: sigmas\n", + " Description: Observed uncertainty of interferometric visibility\n", + " Value: [0.1 0.1 0.1 ... 0.1 0.1 0.1]\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b['sigmas@vis01@vis@dataset'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### if_method\n", + "One can choose either a simple model, assuming a limb-darkened disk(s), or a complex model, with integration over meshes --- i.e., applicable to contact or eclipsing binaries." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: if_method@vis01@dataset\n", + " Qualifier: if_method\n", + " Description: Method to use for computing interferometric visibility (must be integrate for eclipse effects)\n", + " Value: integrate\n", + " Choices: integrate, simple\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(qualifier='if_method', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### passband\n", + "Passband should be in agreement with the wavelenghts, because individual wavelengths are *not* used for computations of mesh intensities. If the range of wavelengths is too extended (V, R, I, ...), split the respective datasets, please." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter: passband@vis01@dataset\n", + " Qualifier: passband\n", + " Description: Passband\n", + " Value: Johnson:V\n", + " Choices: SDSS:gprime, Bolometric:900-40000, LSST:g, PanStarrs:i, ZTF:i, Cousins:I, LSST:u, Johnson:V, SDSS:zprime, ZTF:r, LSST:y3, PanStarrs:g, Johnson:R, Johnson:U, Gaia:G, PanStarrs:z, ZTF:g, BRITE:red, LSST:i, Cousins:R, TESS:T, SDSS:r, SDSS:z, KELT:R, SSDSS:rs, LSST:z, Gaia:RVS, Johnson:K, PanStarrs:w, Tycho:V, PanStarrs:open, SSDSS:gs, Stromgren:y, SDSS:uprime, Johnson:J, Johnson:I, SDSS:u, SSDSS:us, Stromgren:b, SWASP:pre2004, PanStarrs:r, PanStarrs:y, SDSS:g, Gaia:RP, Johnson:H, Stromgren:v, Tycho:B, SDSS:iprime, SWASP:default, Stromgren:u, SDSS:i, Hipparcos:Hp, LSST:r, SDSS:rprime, SSDSS:zs, Gaia:BP, Johnson:B, SSDSS:is, BRITE:blue, Kepler:mean\n", + " Constrained by: \n", + " Constrains: None\n", + " Related to: None\n", + "\n" + ] + } + ], + "source": [ + "print(b.get_parameter(qualifier='passband', context='dataset'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Of course, one has to set up the distance, because 'everything' is affected by angular dimensions!" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "from astropy import units\n", + "\n", + "b.set_value('distance', context = 'system', value=100*units.pc)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Model\n", + "---------\n", + "\n", + "Eventually, a computation is run as:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 1/1 [00:01<00:00, 1.04s/it]\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.run_compute()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Sometimes, when I don't know anything, I list all twigs:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "f = open('twigs.txt', 'w')\n", + "for twig in b.twigs:\n", + " f.write(\"%s\\n\" % (twig))\n", + "f.close()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, I know that I can print, e.g.:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ParameterSet: 6 parameters\n", + "R times@latest@model: [0.25 0.25 0.25 ... 0.25 0.25 0.25] d\n", + "R u@latest@model: [1. 2. 3. ... 0. 0. 0.] m\n", + "R v@latest@model: [ 0. 0. 0. ... 328. 329. 330.] m\n", + "R wavelengths@latest@model: [5.5e-07 5.5e-07 5.5e-07 ... 5.5e-07 5.5e-07\n", + " 5.5e-07] m\n", + "R vises@latest@model: [0.99995203 0.99980813 0.99956834 ... 0.85391424\n", + " 0.85308086 0.85224563]\n", + " if_method@latest@model: integrate\n" + ] + } + ], + "source": [ + "print(b.get_model(kind='vis'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To save results:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "times = b['times@vis01@phoebe01@latest@vis@model'].value\n", + "u = b['u@vis01@phoebe01@latest@vis@model'].value\n", + "v = b['v@vis01@phoebe01@latest@vis@model'].value\n", + "wavelengths = b['wavelengths@vis01@phoebe01@latest@vis@model'].value\n", + "vises = b['vises@vis01@phoebe01@latest@vis@model'].value\n", + "\n", + "np.savetxt('model.out', np.c_[times, u, v, wavelengths, vises], header='times u v wavelenghts vises')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting\n", + "-----------\n", + "\n", + "To plot results:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/mira/.local/lib/python3.9/site-packages/phoebe/dependencies/autofig/axes.py:1273: UserWarning: Attempting to set identical left == right == 0.25 results in singular transformations; automatically expanding.\n", + " ax.set_xlim(xlim)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(,\n", + "
)" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.plot(show=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Well, this was for a single time, wasn't it? However, it is much more interesting to see the dependence on baselines!" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(,\n", + "
)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.plot(x='u', marker='.', linestyle='none', show=False)\n", + "b.plot(x='v', marker='.', linestyle='none', show=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "|V|^2 vs. u is sensitive to the mutual separation of `b.default_binary()`, which is 5.3 R_S. On the other hand, |V|^2 vs. v is sensitive to the diameters of components, which is 2.0 R_S, hence the visibility decreases more slowly. The smaller angular size, the slower decrease of |V|^2, and *vice versa*. Cf." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 1/1 [00:01<00:00, 1.27s/it]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(,\n", + "
)" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.add_dataset(kind='mesh', compute_times=[0.25])\n", + "b.run_compute()\n", + "b.plot(kind='mesh', show=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If more baselines were set up, the spatial Fourier transform would be seen more clearly:" + ] + }, + { + "attachments": { + "uv.png": { + "image/png": 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Ms2NzHC+HnuJ7byVhdB3eVAwII1xXUVk20BGXrTNYs2bN0NAQdMCv6U6rkXEMmdDPMIpEdYQgCoGIFfmyOY9GXb0RgmJTMWDmdYmiNzlynCrGwCQYJo+d/RhdrD+VFThKCRhACejorQRMg4npatFzSlslYBUS8MsIKp2ACfkvMZFIuPkG06yQ35GoDQ0NhD3YHKeuWrVqxYoVONgLfmRDuBwj7m4If1YOZaGO63liISTifHuMGwkekRvOPRQAhCAqlE+jbuyKSii2Rs6o8TbI0xVvg3zSMBa51MEMGAOTIDE/jX3rB46qUgKm4LIvYfMmkN4EubhTCWigBMyERE2MgImJf5vTmyAXdyoBDWaIgNZJEz77IoLKJ2CiJkrAydeF+pJIq7W1lYAHmw8YkCAK8k4QxRG42SWgPcBl4hA1L2QjeCIiw5fwgk8JLPMb1MgIGbZBrG2C5ryt5qgkB79NnfzmEpAOeQv+6TQSXUtQH/MUsXK/xndUtRLQ/gRRAhooAWcXicn/Zf8Rkh+UgA5miYCfRVDxBJwII3IYhskPy5Ytk0ENDD48PCzhVHj3M2V4ZW/ysH7cKCe44Hxv6UN9fX1LS0u7Qd7z+rnBrqCwrXgDPKgkl4BNHDvjfnPIoUN0y60gt2xLYEktOdGcMkUc5BY4qkoJmA5KQCVgWaEEVAKWFcURcMGCBdicOOeZZ57B4KsNMH64YqCzs9M9QA0n2gmF1ImnniMFS5YsqaurK9ne7/SgCRqKzlig2KB7qrkobg9/867DlnUOGEAsQQEMg3kwUqHXnQWOIvkwAiWgElAJWACUgMnqI2AioODc2ZieH/AZwZM7ry8b0latWuVN0wsB3Sul7cr2tf39/d728cIAifC0BHQkSnK0HIqlLsl0N8a512F7BKTTdF225rkrKFCo0OtWAkeRfBCBElAJqAQsAErAzFACzjCKI+DSpUvtur3R0VEiJbn6A5d50/RyhileI5SS3eAk5ErpkRUrVhR59+TChQvlWsuBgYERAxJyCWeRgzcolrotU67DdnWXmRCPgHSarnvGkHWGhU7iBI4i+WkESkAloBKwACgBM0MJOMMojoBNTU29vb2Dg4PEPPYeDdk97k3Tu8eIy0GjxFQ4KDXGgXtyjJBqa2ujh79JpCbHuW01kOPWotGlHKCW4657FEO9LrREWYTao13tEehuaTote95dY1AXI4Vb2HND4CgloAMlYFkIeD8CJaASUAlYAIojIN7t6+sjQJJ7NHCQ7PEO5zZkRgEnetdtrAwPMQ0BWfAfIrq7u2XHuUvYuro6hKDBtm3bdu7cuduABI9k8sodj6Gi7F9HFAIRm5WJrXL+qnfBiXx5or2U3fSUlHtQMA9GKnSgKXCUEnC6b5SAQS9nnIAfR6AEVAIqAQtAEQTEc8Q8hFlr1qyRY9SEWeKaXKIjcrqyjlA0NjbKagccCQn49AZ5IBQaQLc9e/YcPHjwsAEJHsnklTspIwMlVpSsFcg8CLRUBpui6oeRro0WxR6URAOapGR+B6ZOIHCUEnASSsByEfBeBEpAJaASsAAUQUDCqejtW9EBCneOAOA+ufS5JXrWmoXM7ts7uKQB2iMms+sEe3t78Tdx39jY2IkTJ04akOCRTF5RQEpShYpyRpy9dkvOJvfWTvhAS7lsm9LSgwzzPe5gk3uvV0HrEQJHKQEnoQRUAhYPJWAVEvCjCOYhAevr67u7u12D22n66Eo5fE/+GgNZJkdctDjDivvW1lZiNMQRyu3YsWOXAQlawv122x1R1wsvvEDQNz4+fvr06bMGJHgkk1cUkJJUoSLVXWkIpwkayjRQgpYoaxc+ArrCY7pVj7Jswf1CYqp0x8plROAoJeAklIBKwOKhBKxCAt6NYB4SsKGhgehqZGTEGhxfWgJ2dXW5hSWIki3bEIKoC2dlGn9BOoWQtX37dkK5/fv3HzR4+eWXd+7cuXHjRstwYiwKHD9+/MyZM+fPn79oQIJHMnlFASlJFSpSHSEiDbEUoAkaorlMJ6mhLPUphPqy/V5CWLeMbGMXe2AM+4XESJiqoJPlAkcpASehBFQCFg8lYBUS8HYE85CATU1Ncp2zXGm5zSDdlm0KyxFu/f39xE54KssqfGImiAM19u7dOzY2duzYsRMnTkCoI0eOQB9aou2kCc6effbZAwcOnDp16s0337x06dJlAxI8kskrCkikSRUqUh0hiEIgYhFOEzREczSaSSdURnHUpxNy9Jq3ys/dfm/tYa/kLmhJYOAoJeAklIBKwOKhBFQClhVFELC5uVlmKbwt21ECyiluvQa8yuILShNpIWvPnj2HDx8eHx+HSqdPn37ttddeeeUVcojjZHCFkrj56NGjZ8+ehXRXrlx534AEj2TyigJyPhpVqEh1hCAKgYhFODk0RHMUyHKSGoqjvvQjPHfNOwHH3X6PqbwT63JD4CiStyJQAioBlYAFQAmoBCwriiCg3Ypmr5IUg0cJKJdY4bKOjg6cmOWwMgqNjo5ClkOHDkGWM2fOvPHGG+fPnz937hxpYjeiNpyaNMM7O3bsoMyFCxfefffda9euXTcgwSOZvKKADJdQhYpURwiiEIhY0pShIZqjUW+Fnw8UR30K0ZXwQjJLQPlC2gtB023QywGBo0jejEAJqARUAhYAJaASsKxQAlYhAa9HMA8JKDew4jN7eG2G8+MXLVrU2NgIDxoaGrKfF9TX14fQffv2CVnefPPNixcvvvXWWzLHxi+HgwcPbtiwIWk2QvL7gV8Ub7/9Nr89bty4IcNiJHgkk1cUEG2oQkWqy4ydCES4kJrmaFSGFzMB9ekEXaFD3r3w3l0A9iBijBTe7ZobAkcpASehBFQCFg8loBKwrCiCgARCcn68DHrZK1yit6glTRhYX18fYZ/cE+7myBrTsbExIculS5feeeedy5cv8wlrZHQPv1Kyp6dn//79hHJEfLjhzp07skeHBI9k8ooCFKMwVWTEECFWIMKF1DTnrl4VyN3xfsBKJ+hKeAawvRHPXscjQ6NyFUCW8DKOwFEkP4xACagErCACJtKkKw9KwLlIQOc61JoKv0EkJwLGB00k4PFuYE13l3g6KXVytD2w4RQ5a9eu3b17N3GZkAUevffee8R0V69ehTJEbePj47iWwitXroQ4Fy5c4O2tW7c+/vhjOTCUBI9k8ooCFKMwVahIdYQgireIRbiQmuZolKYtsVBJdIufuB92KLwX3r3bNXobTxrjWgSOIvn/I/D/5iVsWgmYSYoSsAACpjCNfInpNyUlppVXAmaSogSc4b+A1U/ARQYRs7nD/p61cxxzWLp0KU5ZToDmXrFOYtOmTQRuxGXQh0gNpmBiAp1r165BHPjCqx07dlCYlgjryKHARx999ODBg88NSPBIJq8oQDEKU4WK5CAEUQikAMJpgoZ4RaM07WqCYqjXg5a5HHMvI1PhvfB2cijCtrh9LQJHkbwWgRJQCVgxBJwM/OTfZSVgWigB09rXInBULgScKJ0ioB8fVhqyEHDhwoV1Bv7oCc+yB1EI+IKBEHD9+vVZzhkwQCgSUhexETbJAXrWi0g8fPjw66+/funSJcI0mHLz5k1iuhs3bmBrIrgzZ87s2rWLwmhAWEcOBe7fvw/1vjIgwSOZvKIAxShMFSqSgxBEIZACCKcJGqI5GqVp+92R4w8HRT+UzXr7nJzlICNTQkBgCYiEiBnj9rUIHJUTAasHSsAqJOD7EVQ+ARPB57RUvPtKwEokYCKgYGX/M2swGZAm7KdkTybi3V+yZMlSAz9Mqa2tJTwaGRkhZtq2bZsloMy846+sGyAIq4iX1sgtr6tXr7an+OEnZB0/fvz8+fNEZ4RpMEXOn7h9+/b169evXLly7ty5ffv2UZjqr776Kjl37twh7oN6jwxI8EgmryhAMQpThYrkIARRIhPhNEFDNEejNG0PdUAlFFsnF6+ibHwcxQGdpuuyPsMSEPNgJEyFwfxTejGr2Dft2YGBo6r0L2DC/jZPTPuVrgSsQgK+F0GlE7AmHQEnfyTFu68ErAQCer9k5xYBJ19H+i5T7o2NjQ0NDb6BsFxPTw/ucQkoi9/w16pVqzJvvGxpabGXuz0rZ+jxLIMUK1aseOmll06ePHnx4kUsS7AGTeQyjHv37tn5jQMHDlAYZ58+fZocXhH3Qb2/GpDgkUxeUYBiFKaKnTPhlchEOE3QEM3RKE2jQNIMNKGSnH242V49l/lEYTpN1ykpSyRdAmIqDOZ/jzErxsXE8WUayXnwF3DytRKwegh4NYLqIGB+P0KUgErAkmEyjMhnGGbx4sVYh7gGu/rHy1oC4hqXgDhr7dq1K1euzHAYHlbHxxQTNz0vvB0eHhaW4+a9e/fKKvtr164Rx9klBp988gl8kfmNsbExOLJx48azZ89S7P79+8R9UO8HAxI8kskrClCMwlSROROEIMouW6AJisn6fZpGAdESlaapiMoonuGwezpN1ymGGVwCYqQ4ATErxsXE1IwfVhw4yvgyoF/lD8OkgRKwCglYjX8B00EJWIUEvBLBXCRgXV0d1mltbSXw8afisZYMUrgEFFOvWbMGN2WYu29raxsaGqIkVXYK8BZus0cI7d+/H9Zcvnz5+vXrBGvQ5DODBw8ewBdCNshy5MgR3Imnz507RzFeEfd9//33TwxI8EgmryhAMQpThYpURwivRCbCaYJiNEejNG2PPUIlFJtQEWVRGcUzLLOg03QdA4RWkYEmn2RUwLiYGEPH51kCRykBlYBKwNJBCViFBHw3gjlHQEImXIBp2tvb+fRDOgIh7GlNLbuw7YADr9JN3OOCvr6+9evX49pdu3btFezYsWPDhg0ydDMyMnLo0KHz588TWt+6dYs4Dpp8afD5558Tu5EJWY4fP44SW7duvXDhws2bNynz3XffQb2fDEjwSCavKEAxClOFilRHCKJEJmVogkyao1GaRoGkGVJBJRSbUBFlURnFUT/d7Tp0Wr6WMjhlrSJfS1758SNmtSbG3JHlgoGjlIBKQCVg6aAErEICJhLveJiD44C1tbWNjY3EOx0dHRjIP9NehlI8Aj733HN22j2djwh5iKO2bNny0ksvvfzyywcEu3fvJkyT6IrIi2AN1nzwwQd3794lWPviiy++NoAvDx8+JJOoe3x8nAiKti9evHj79m3KPH78+OnTp78YkOCRTF5RgGIUpgoVqY4QRIlMytAEmTRHozQtB7+hDCqh2ISKKIvKKI766eZD6LRdomGPh3EjY5+AmBXjYmJaIx25Uz1wFEmffoaCs8maEkIJqAQsK5SASsCyIi0BMVVzczOm6ezstKeaTkUoRDshAe0R+V1dXRFbGuCg0dFRuYCGeOswGBsb27dvHw6T9XaEWceOHZMpi3v37hGjQRNZ5UdClhi89957J0+eJIJC0KVLl6DPV1999cMPP/z888+/GZDgkUxeUYBiFKYKFWXZgiuTJsiUCRaaRoGkWa+ISiiGemNoibJyoQ3qp7vQhk7bjQqyKt8joBsZL7CnrYqJMXdkkiVwFMm/RKAEVAIqAQuAElAJWFakJWB9fX1rayumwaL4AutkIaAcRCYHw6Rbu06t/v5+qhBNHTx48OjRo8cB/yPGQoT4FecRrMmUxf3794nRoMl3330nq/yI3cgkXjt16hTue/HFF7E+9Pnmm2+ePHlC9Pe7AQkeyeQVBShGYapQkeoIkZWDiCVBE2TKBAtNo4B8U1AJxY6KmnyiMoqjPp1IN8xE1+3xMPac8rQExKxUwMQYGnNH7lQPHEXy7QiUgEpAJWABUAIqAcuKtARctmxZe3s7psERWKelpWWhu2ZcCCgXxWFhu2SO+GlgYCA8m02AFAIkyhNNEVadOHHiFcD/CLPgiGyMQyLB2jvvvHPr1q1PP/2UOA6aPDYgQcj2ySefEK+dPn0a9+3cuZOS0Ofbb799+vQp0d8fBiR4JJNXFKAYhalCRaojxJVJEzREc5SkaRRImi1xqIRiJ0RNPlEZxVGfTqQbiaHrGAAz2JWEQkBZS+gSMGVPpGBcTIyhqRm5qC5wlJkJueRhDs6EKAErl4A+/QwFZ5U2pYMSUAlYVqQlYENDQ0dHB6bBEViHAKXWHVkhWunr63MJKJdSjY6OZjgYBmOvW7cOvxJaHTt2DGcTlp3if0eOHCG6kjs68ByZ77777p07dx4+fEgcB01koT0JHh88ePDhhx+eOXOGZqhFSTgFj3766Seiv38YkOCRTF5RgGIUpgoVqR7KpCGaoyRNy/HnKEMtFDspavKJyiiO+nTCu4rMQo6HwQxygZlLQCS6QV7KnpTGuJgYQ2PuyD6GwFEkL0agBFQCKgELgBJQCVhWxAlIdNLU1CSHl4p12traph3k6RJQrobkU+6FzHA3OFHQpk2bdu3aRWg1Pj4ut5anri0/fvz47t27qUkhBJF59erVu3fvfv7558Rx33///Y8//vjkyRP4wuNnn31248aNs2fPohS1rly5Aqfg0S+//EL0918GJHgkk1cUoBiFqUJFqiMEUQhELMJ5pCGao1GaRgHUQBlqodgpe1s7KqM46tMJ2b0eQu6RlztErWGiBEzZE6XkOy6nsGJ0f3t64CgloBKw3AT8fxEoAZWASsACECegXJBBmINpsDTWyUJA4hxr55UrV/qrBw2WLFnS399PgLV3796jR4+++uqrxGSvA7yLa8kleEqa2zx4IasGvvjiC+I4aPI3AxI8QpabN2++8cYbRE179uyhJBEcPPr111///PPPfxmQ4JFMXlGAYhSmChWpHsqkIVnjQNNyAwnKoBKKpb4jaMkLVEZxcukEXYnuUKfrsjc9NEycgBgXE2NozO1el6IEVAJWKgEvRKAEVALOGgETAQXn2lTc4sWLW1paurq6MA1mwzrt7e2L3VX2IQG3bt1KaCRz7pERfTOwMzQ0RMmXX36Z0IqYipgMTryBd1955ZV9+/bJjvDt27fz4oMPPvj444/luBeCtacGJHiELLdu3Tp37hxRE2x4//33CeuI6X777Teiv38bkOCRTF5RgGIUpgoVqR7KpCGao034dQQAACAASURBVFGaRoGk2R+PSiiW+o6gJS9QGcVRn07QlejxN3RdVmlgDEySgYApe2JWjMsL6mBujO5vZQgcNS/+AioBK5qA5yNQAioBlYAFIE5AohsZIMA0RDS5EnDjxo2yKz16MAzW5e0LL7xw8OBBQitiKgiRsh3eJbrav38/TqXciy++SI6cuPb1118TxxGpyXZzEo8fP/7yyy/v3LlDRaImOAJrCOsI5f7+97//85///I8BCR7J5BUFKEZhqlCR6ghxZdIEDclZbjSNAqiBMqiEYqnvCDVRFpVRHPXpBF2Jrkeg67I3XVbl50RATMw7GezyA8vAUUUTMDGBkvCnaCgB5x8BA4HlhBKwCgl4LoK5RcC6ujoZIFhpQIDS0dGRloDYGSNv2bIFm4+MjFAtul4dY69bt27Hjh1jY2MnT54kpsKtbwLMd+rUqQMHDsihLJQgRxbuffPNN8RxRGo/G5CALMRr8IiKRE0EZLCGsI5Q7vfff4d3/21AgkcyeUUBilGYKlSkOkJcmTRBQ7LMkKblHk6UQSUUS7mXmiiLyiiO+pSgK9FVj3QdA1AZY2ASDIN50hIQs2JcsbIMdvmmCxxVNAErC0pAJWBZoQSsQgK+EUHeBKwQxsYJiJ1sdLJq1Soh4BI3PCHUCQm4YcOG4eFhYpnoHMHy5cvXr18va+zwK0a7cOFCahoT17722muEVkROlNu5cyc5H3744aeffvro0SPYQaQmJ76Q4JF47e7du1SmJcI0+EVYRyj3xx9//Otf/xICkuCRTF5RgGIUpgoVqR7KpCGao1GaRgHUQBlUQrFUmIqWVEZlFJe1i3QluvePrtMSZsAYIQHd4DhlTyEgJraRtr8xLnCUElAJWN0ErIZhGCVgRRPwbAR58CnhCywn4gTETpgGi6wyyERAGfC3BBwaGiLY8mfUDfALcdHu3buPHj2KX4mscGtqMS8B1unTpw8dOiR3WuJ/cuTc8W+//fbHH38kUvvVgASPxGsfffQRlYWABG6EdYRyMO7f//73/xiQ4JFMXlFACEgVKlI9lElDcqI5TQsBUQaVUCwVpqIllVEZxVGfTtCV6AkxdB0DYAaXgBgpCwEB5ubRH8EKHFU8ASdvbasIKAGrkICJgIIV8y9q3lACViEBi/0LONPIJ8qME3DZsmXWNP39/ViOeCdCQDvnLuvxiYuwfGdnZ/Rstp6eHgrv2bPn2LFj+JXICre+BYiuzpw5MzY2JgQkwMLlN27cePjwIbx48uRJOgIi8cCBAwRuQsA///wT3v2vAQkehYAUoBiF0xGQJmiI5miUplFACIhKKJZa7ISWKIvKKI76dIKuIDHsJV3HAJhB7tm0BERchICYlVxMbL/m/jqOwFEkz0RQSTMh+bSgBFQClhxKQCVgJpdXwTAMVsA0eRAQCAHlbLbo3cuIe/bZZ/fu3Xv8+HEshqffEsCL119//fDhw3I6+K5du3C5EFCu/vjll1/k3FM5dO3Ro0f37t2DEJaAX3/99U8//QTj/vOf/wgBSfBIJq8sAalCRaqHMmlICEjTKJA0Z6WjEoqlRopEUVRGcdSnE3QlujGOrssJbUJAsU2uBOQxFwKejqBC+JQ3lIBKwJlA8T9ClIBKwMKRd0TqEbChoUEI2G+QNwEjV06Zw1Yos2/fvhMnTkhohU9TJ4ulI6DcvvW3v/0tHQF7e3sPHjyYCwEpRuF0BKQJudcrLQHR0garqE8n6IocZeOBrhdCQCAE9Nf5R1yaeC2CyiJgTc5BphJQCTgD0L+ASsCyItvv7ESYyk7AOnepWpSAo6OjmQm4ZcsWISB+zURAcuwFmFkJeP36dSHgP/7xD5eAPAoBKZAjAWmUpjMRkGchIF3JTEA5oS0DAVP2nKsEzILEVHeUgFVIwFMRVBMBEzVT/VECzj8CJmZ6NUy2mZBpBJz4xzqhBKxMAibCgKpIAiamM2AGkBcBJzOVgJVJwBrfUSRfjSC/352JmSVglsk+JeC8J6D7M6AMKOxHiA7DVMowTCKgYF5rC4SBZf3VUtAwjBKwUgj4SgTV9CvYhRJw/hGworiqixGqcDFCcQSsKP4pAecdASuLf0rAaiTgeARz7i+gLsmv3CX5xRGwshioBJx/BJwF5D4spASsQgKeiKCyCFiT80Cjbkyvwo3pVUHAorZlKgHnMAET2aZqSwP9Czh3CXgsgsr6C1hsDKjHs1X08WyVT8DcoQRUApYVSsB5R8CKOZXDIE5APaS8og8pPxpBXqSqIA4qAecjAWvKvR5wCkrA+UjAiv8LuESv6qrkq7qORDC3YkAl4BwmYGVBCagELCviBNQLqyv6wurDESgBlYBVQsBZmgvOEUrAeUfAykKcgIsWLWpubiZqwjqYRgYIFrlLDEICWjsT0TQ2NoauIbrp7+/fsmULbDh69CjRFTFVyrunT58mtCL3mWeeodzzzz/Pi/fee+/evXuQ5bvvviOU+5sBCR4J627evAknOjo69uzZQ8mHDx8Sx/36669//vnnvwxI8EgmryhAMQpThYpUD2XSEM1RkqZRADVQBpVQLHX+KFryApVRnFw6QVei8z10HQNEDeMRMGVPGezCxBgac2N0fx1H4CgloBKw3ARMJA55qJR/UPOHErAKCejTz1BwVmlTOsQJuHDhwqamJqImrINpZIAgEwHxmazKX7du3apVqzBk6Jqk2RhHaLRr166xsTFcS0yV8u6pU6cIrXbv3k1NCiGIzKtXr969exeyfPvtt/AImhCsEdPxKDvIiclQilpXrlx58ODB48ePf/nllz/++OO/DEjwSCavKEAxClNF9rsjBFEIRCzCeaQhmqNRmkYB1EAZaqFY6uwpclEWlVEc9elEdEscoOvUxAyyHl8Mk4mAGBcTY2jMjdH9DYWBo5SASsByE/BgBEpAJaASsADECZg0gyZETWKdrq6u1tbWWnevm0tA4hzszKec0EbwROmodwhzcM2LL7544MCBY8eOnTx5MuVd/idr7OSwFQIsMt999907d+4QwX3zzTfw6AcDEjzCqQ8//JCYjGaoRclPPvmEOO6nn376/fff/2FAgkcyeUUBilGYKlSkeiiThmiOkjSNAklzlI2sXTwpavKJyiiO+nSCrkS7SDMYQM5ms4aJEjBlT0pjXPmOY+7IwE7gKCWgErDcBDwQgRJQCagELABpCbhs2bL29nasg2kwdktLy0I3PKmrqyMKcgkI8Nz69esHBgaiK+WSZj3C8PAw5ffu3Xv48OETJ06kztXhf4RW+BVHUAiJOPudd965devWp59++tVXX8GjxwYkvv76a1m4R1hGvLVz505K3r9/nzju6dOnv/322x8GJHgkk1cUoBiFqSLLDBHiyqQJGqI5StI0CqAGyqASip0QNflEZRRHfToRXYmQNKseMQBmwBhiFUtADOau9kvZEykYFxNjaGpGZpACRykBlYBKwNJBCViFBNwfwZwjINEKAQrWwTTLly/HfQvcc0+FgGvWrBECbt++HVNv3bp1w4YNckJb1DvU6u/vpwrRFb/cjh49ehzwP77CiJCd3hs3bhwfH3/77bdv3LgBfb744otHjx5Bk7/+9a8kvvzySzI/+OADwrKmpiY48pe//OXevXvEcXLo2u8GcugambyiAMUoTBUqUh0hiEIgYknQBJk0R6M0jQJJs48elVDsqKjJJyqjOOrTieiug6TZ+4cBMAPGwCSIEALKKg23VsqemJUKmBhDY25/S5wSUAmoBJxZKAGrkIAvRzDnCLhkyRKs09HRgWn4xH1ZCAhkVT4BEhaNntAmfh0dHaUw0dShQ4dSK4mIs/bt2/fcc88Jb4mfjh079tZbbxGvQZ/PPvuMkO2RAYnPP/9cVg0QrDU0NCDo0qVLd+/eJY774Ycffv75Zzn3lASPZPKKAhSjMFVkjQNCXJk0QSbN0ShNo4AwCZVQDPXG0BJlURlBqB89FSZpRlboOgaQ9fhilUwExKzWxJg7srwhcJQSUAmoBCwdlIBVSMC9Ecw5AmLLxsbGtrY2TNPe3u6v8MNUIQFx2KZNm0ZGRnCQv7R8Ei0tLUNDQ1u2bCGa4os7MYq1e/fuzZs301rSnA5+5MiRCxcuEK9BnwcPHhCjfW1A7Pbw4UMyr1y5QrC2dOlS2r548eLt27cp8/jx46dPn8qJLyR4JJNXFKAYhalCRaojBFEikzI0QSbN0ShNy1npKINKKDahIsqiMoqjfroxGDpN1zEAZsAYIQF9hmFWjIuJaY105FsbOEoJqARUApYOSsAqJOCeCOYcAQlQli1b1traioH49KfJsWRvb69HQBJYXvampxumwEd9fX2EWc8///yuXbsmvr87duzYsGEDEVHSHMpCvHX+/PmrV6/eunXr/v37xGhfGhC7ffLJJ2Revnz5+PHjKEGkBWvs1ZpPnjyR7eZy9YdcgEkBilGYKlSkOkIQJTIpQxNk0hyN0rQcUYMyqIRiEyqiLCqjOOqn+3bRadmVjhlcqwgBeeUTELNaE2PuyBVngaOUgEpAJWDpoARUApYVaQko5sQLmIaQxz/tBReIqYWALxi40U70eBgB8Q5xFCWpslOAa4m8ZC5+cHBw//79Z8+ehSzXr1+/d+/ep59++pkBwdrHH38sUxYEa4sWLSJMO3funJxo/ujRo++///6JAQke5dxxClCMwlSRCRaE8EpkIpwmKEZzNErTsj8eZVAJxSZURFlURnGJVKOg025k7FpFvpY+c6mAcTExho5/ZQNHkdwdgRJQCagELABKQCVgWZGJgFiLGKW5uRnr+NPkuLOnp8cjIN7C07I3PXpwikCGcChml8ylVhIODw9LhNTf30/I9dprr0GWa9eu3blzB758akDsdvfuXZmyGBsbI2TauHEjrJGz3OQgGVloL8e9yIlrFKAYhakiEywIQZTIRDhNUIzmaJSmUUC0RKVpKsqavuh+dAGdll3pmIEqHgExmL/tHLNiXExMzXhgGTiK5K4IlIBKQCVgAVACKgFnCYngc1oq0veFCxdioMbGRqzjW90SUAYcLAFxk+xNlyGVdCDwwc2UxDXPyj2bPMsoBD5+6aWXTp48efHixffee4+QDb58bECwduvWrffff//ChQsHDhyg8Ojo6OnTp8mRJQayyk9WDsqyBV5RgGIUpgoVyUEIr0QmwmmChmiORmla9pyjDCrJnZeb0RJleU43ByKg07IrXXhrCSiDUxECYlaMi4kxdPSW72TgKJI7I6h4AsrxSQnTkcRUd5SASsBZwSTz3FRNjRJQCThrSEPAybNa4xbFQEsNfMvV1tbaaXdLwO3bt2N5nI2n0h0PY7F8+fKBgYE1AIfJIIW86OrqQtbx48fPnz9/+fJlQjb4ctfg9u3b169fv3Llyrlz5/bt25c0d1q++uqr5BDHPXjwgLhPVvmR4JFMXlFA7uGkChXJQQiiRCbCaYKGaI5GaRoFRBMZaEK9ddRH2XQ7DSzoNF3HAJgBY7gElCUa/moDzCr2TRtYTnPShM+qi4CT2uf/FzCpBKwMAk5zFMkdEVQuASehBFQClhX5/whJmjCwzsAPUHi2i8+fe+45S8CtW7cSNmU4HsYCoUjAX/2Dg4N8dnR0yIu2tjYkHj58+PXXX7906RLR2Ycffnjz5k2YQrB27dq1d95558yZM7t27aIwGoyPj5NDgfv37xP3fWVAgkcyeUUBilGYKlQkByGIQiAFEE4TNERzNErTdqoDlUS9lH4om26BhYUcDIMBZD2+WAWJdqNCxIxx+1oEjqpSArr/EOc6DJPJQErAGGaJgC9GUOkETAcloBKwrMhCwKQc5OkFgEkzSNHZ2WkJKNYWAm7YsIF4KcOUvQWxz3I5hpXwyC76J0HMtH///lOnTl24cIHo7P333ydMgykQ5+rVq2+99Rav5E5LWjp69KjMb3z00UfEfZ8bkOBR5kwoQLGkuYeTiuQgBFEIpADCaYKGeEWjNO1qgmI9cnpphtUVFnSalmRXujWJJSAGiyz4i9vXInCUEtBACRjDLBFwewRKQCVgBREwEaQrlaDZCZg0bIvk4pShoSHP2vZ4mPCEtqiUVPzTbGC9QM7atWt379594sSJs2fPwpd3332XMA2mQBwiuDfffJOwTm7zWLly5djYmJ3fsMsWSNg5EwpQLGluIKEi1RGCKN4iFuE0QUM0R6M0bUM9uS4lhWj0F3aITtuDYTyTYKr4KE7cuBaBo3IhYGLaz0zz41MJqAScNQL6A72JaYysLCgBq5CAKTzvwL/7MiRglf8THEdHRwfWljEHmXmXgEesbUdVLHBifModF3gzBMhFHMQhLjt//vylS5egDJEan0IWwjo5Spz4jMDtjTfegEfXr1+/c+fOPQMSPJLJKwpQLGmOP6eikNoKRDhN0BDN0aisx7dAsQUhRWSZRshKOi3fSRsWy6F1GAm5oUlyQOAoks9HoARUAioBC4ASsAoJuC2C2I+QhDPvOgcJKGMOMvMuZ4HaMYcw4CGcamxsbGlpaWhoSDvqb9HX14fQffv2EZedOXOGqO3ixYuwhk8hy8GDB3Fz0gSie/bskfX7xHQ3bty4bUCCR1llTwHRhipUFFJbgQinCRqiORqVu0oyAfXpBF2hQ94AioTFdmRquzk3VtZn5DgyFSBwVC4EnBx6sdSrnBvSfSgB5yQBqwdKwCokYCLxnIdK/fuWHUUQsLW1VZbVy6VUYm132N8tTLyE/XGQPW01k2gK4bOdO3ceOnTolVdegSCEcrDm3LlzQpa9e/fKIWrwYMeOHZS5cOECEd+1a9euG5DgkUxeUUBW0lOFikJqRCEQsaQpQ0M0R6NZAjV7qildoUNeGOhODtkTyuUOUUyVdX1GDIGjSPr0MxScVdqUDkpAJWBZoQRUApYVRRBQrmZ276yWMYcoAZctW4bLeg14lXnPXKr04OAgsgjfDh8+PD4+bi+NhizkQBZ7ggs+lsGVS5cuXbly5X0DEjzKgA0F7KkzVKQ6QuSybMQinBwaojkKRG7LcoHiqC/9oENeaUtAGZl63rmtOsM13hkROIrklgiUgEpAJWABUAIqAcsKJWAVEnBzBPOQgPiir69vzZo1mzZtwuAyHpqOgBTu6enBCwTjK1eu7Orq8s/d99Dd3U3ovt1caDM2Nnbs2DF+PBw/fvzIkSMvv/wyLcmA3eLFi3HwgQMHoNKbb74J6S4bkOCRTF5RQA7+oQoVqY4QRCEQsQiXC2hoLt0FNBNAZRRHfTpBV+iQ90VyCWjtgXkwEm1n+dbFETjKjAMG9JuP44BKwHIRUP8CGigBy0XAZyOYhwRsaGggEBoZGdmwYQNRMNEOBifBo+xBdAu3tLSsWLFiYGBgaGiISAv34axM2yyQTiFkQY3du3fv37//oAH0IY7Dx5bhEIcCEOrMmTMyxyYzdjySySsKSEmqUJHqCBFpiKUATdAQzWU41DC1gYX6FEJ9OkFX6JB3VpHsVBV7YAxMIvbASJgqk/S0CBylBJyEElAJWDyUgErAsqIIAtbX1xMz4Qs5Q49oxxo8jAHb2tqInchfY0AtHjs6Ohanu/MlOXnOAOLw5Y4dO+QoWhK0tHr1ajuoIatXYdP4+Pjp06fPGpDgkUx3jSlVqEh1VxrCaSLLWQ5oibKojOLSA7rCo7fARWJA+4WkJTn7kFqYKnIfenYEjiK5KQIloBJQCVgAlIBVSMBEQMF5OQ64ZMkSDE4sRIyFDbC5a3CPgO3t7f39/bh/1GDt2rWUkSAq05m3OFhmW9wGaA/fW+YSXREDEcqNjY2dOHHipAEJHsnklT15kCpUlPU7iEIgYmWWIstiUQlhUZnS0gO6Qoe8zad02v1CSgO0h5F4leF4/fQIHEVyYwRKQCWgErAAKAGVgGVFEQSsra2VA/SIiAh7ZEYIf+Mdoi6PgJTEC7iPkpiLT9LkdIHMx/40Njb29PQQo42MjOB1Pj3Hwx00IJTbs2cPQd9hAxI8kskrl1zyRbCiEIvwzJMyqRN00TKqvrd8lU7TdQwgZ/8DSqKBHH8YuQ89OwJHkVwfgRJQCagELABKQCVgWVEEAZNmoKSvrw9HYgGiHcyOd4h58IK3LZNHcQ3FhKe4BhIQk63MulcCzzU1NSGiu7sbKkAoN5yqq6tDCBpAt507d8rtpSR4JJNX7sYNKlIdIYhCIGKz0gL1WpGCsqgszKIT8jWL9hIDYAZKUgwNMA9GKmhDSFIJmNU3SsCglzNOwNEIlIBKwFkjYCKg4LwciE6aVX69vb3YPJfoyBugsNHiIHTIcYQCsixevDjc02l3iCJ0q4G93C10PNURkmNAhmKpMNVGdpkHm6KRLnUxUkGLAZP6FzAzlIBlIeC6CJSASkAlYAEojoAyQPHMM8/IFAdOyTxHYKfpZdkCPiJAGlmxYkWW9fnZsHDhQogmCw5HDGS5HpnZT0LKCBRDzgokoqyru5yCmGG+xxoD82Qda0qPwFFKQAdKwLIQcE0ESkAloBKwABRHQCIkbG6XyfEvATEPzgpn9+1KuXDL9tpCz+3xIQfutxukO9k+X0h02R9uv0+36pGuYwDKyyWvsvARhQpaiZBUAmaGElAJWCSUgJlRkQRcHcH8JOCCBQvwtKwVwB1iCmze19fnrfPzTk2xh9eulwPko3e44DNIlGHNfqlAEzQUpYjMbaTuArAHEWc4AYdO03UMIJaggKx2wEhZTkRMi8BRSkAHSsCyEDARUHC+TsUpActCwJEI5icBk5PnrhHnDAwMYHDZst3b2+udReadH29vUdtoLxP3pibq6+txpwR0JGimyAGVEAhErNuKt28NlWSr+cQ3x7uBNbwLgE7Tddl+Ty0SGCY8xS0fBI5SAk6HEtCBEjBvKAGrkIDDEVQ8ARNT9za5vSmagMRPra2tcvTagAEJ9wJ0gb1FzfNjalc10RL1vVgPX+L8FStWEFTxicS2trZCpxMiQBQCEWuboDnvW4NKKJaK5tDS++ZEb8STK9ZdS1Af8xQRxwaOqlICJuS/hL3A2Mk3KNRASkAHSsCMcNmXsHkTKNRASkAHSsBMSNTECDh5jeJUlxcsiFxQmgkNDQ04guCHgAeb40vCHo8r4V3iYNu2bamTxdasWUMdd+Ji0aJFSIQXEk5JYMkjcgs64yyiMaJC+TTq3v6GSiiWmuhCS5QVrTPcC0+nkUsdzIAxMAkS89PYt/40J034bDCCyiXgpPZT/2X5C6gEnESlEHCao6qOgBOwP0GUgErAMiAx+b/sP0JqDfLg4JIlSwieOjs7CXiwuYRr3lIAudvVTihMI+DatWtxvstYKtt1hrLg187r4+B0x5wRaSGk0YBEusCL6jJwZFdQALtuz9UbISi2VlYiWALaKZzwBla5EQ8DYAaMgUkwTB7LEOTu+GkDUoGjSA5EUPEEdP4hzjIMowSchBJw5qEEVAKWFREC4jhs5t0FngW4qrW1Fb9ic8IezO7Vb2lpsXe7CgHtXaabcTB0cGcLEIcLh4eHZY+3bDAjTU64zsFWkR3nPQayfz06bCMrBkS47F6T3fTk0KhbBZVQLEVAeyOtENDewOqpQqfpOgbADBgDk+Q3cER9TD/tmxM4yvxr9oyHObUaRgk4iUoloE8/Q8FZpU3poARUApYVPgEXLlyICQiT+MzjODE7r4/NZemAV6CpqUl8KSvbtxtMxYAeARsaGuCInMaCswm5+IQmsucd73rxHY/QDfrACRmVIMEjmWFJOdYVUQi0wuWkGhp1B02mCCgxoGht9xLwLtxu7pkhjxUUmNuafqpa4CiS/REoAZWAk3WUgHlACagELCt8AmKFurq6pQb5TaFTkzr4D7OHIw/kr1ixAh9vnLxK0m6MixCwsbHRnk0u948AoUkYqYn07u5uOUV1rYGcfkqmNw9ho0uhtkiWKy3ltHJ3EcU0AsqWOHshKF2hQ+EsB12nGvm0lN+RqDKKBHDAVM3AUUrANFACGswGAVdGoARUAhooAfNDhIBCI0A4kt8yeEovNginUZDV09OD4+WENtfxE9c5uwQktIILctya3Q0uqwcpHMZecoYppBsdHZVhFRI8hsevSiy6xtyy7UqW49xo1JWMSnIl9xrvi0An6AodCidl5PA3kLfpkCV2n0bdwFFKwIxWVALOAgH7IlACJpWAKSgB84NPwEWLFmF2mdAnUbJd4Xb4w7vXa6MNp9ywDhbYeRM7/CHzJtEZiI6ODiI+e6OXvYOLTG/RvDsjE5XsEhCVJHBdLSM24e1bpbSPa/epeaTAUUrAQg2sBMxsn9wJuCICJWBWAysBM9tHCZiCEBAvNDc3Y4uSHHGWAjFOe3s7MZZ33cZ6Cad6e3vdcMoS0F09mG4dHlGXewS6G6jJGaZuRBpdlyiSQwKikozZDMs9KO4FJ3SFDpVsszyGxtwYnfaVgEpAgRJw5qEErEIC9kYwVwhILNLQ0IAhCJawBVFQyWyMULn02a7Dk0V+68jq7u52Z09kJsRdPWh3owkB3d1otbW1VHcPf3MPUOOVOyFBRSGguzvPrvDzZkJQiepDocpy2ba3jb1wYGIMjbkxOkJxwFRsGTjKrIgO6DdnVkQrAauAgPoXsCAoAdMhXwL2RDC3CCgr2sQW+a3NzwBCG9nqNjIyghPljr3Vsh2NSM1th2ZlFYAMlngE9DaEUxEHINQe4GKPnSGTV65k2SDvEVCGYWRNhLu8gIoo9oy9BwWguKxzoCtFHLo2HbQj33pZRqgEVAJayUrAGYYSsAoJ2BXBXCQgn0REhV5wEQDRuJ/YCQbgRLlfJTXGQeTV0dHhxpp2FYBdwO8Ow0QJ6J6hZgkoB79FCWiHYewi+3BNBCqhGOqtQkvRF8WpTycQVLJpEEyMoa3RlYBKQIEScOahBFQClhWRmRAhYFtbG+ZoampKdxJLIcDM2EpONJdj0VIBllxr6ZaTKQi7gF9GVojUYA1xmDcTkhcBZSYEIYiSfQF2V0CznQAAB0pJREFUzIbC3oRM0qw0TE10oaU9xg316USR93tOA21iaJpCOyFg5pmQzgiUgLlACRiFErBGCagELA+yELC5uXnp0qWFXjMVoK6uDqHd3d04Ubazphbzhu60UxB2fQFksQvnYYNLWJkJkSulXQLKddjeTAgVqW4X+4tYu3LBm5BJTn5lutBS9EVxCiGlZMs0MC4mljGYHAm4PAIlYC5QAoZQAgom+qsEVALOKiK74uR0kzYDIWApL8lCuhyjJos48GZ3e3u7t9EcLbCpt4CfTzkeZtWqVe6SfLSTC7Xc67DtldK8ctWnomx5R5QVaxfZ06i3mRzFUtd4yaGnQI59K9kcSHJyJQKGFovLkTKZd8W1R6AEzBFKQA9KQMGU65WADpSAM4zI8WyZzFE8kEWMQ7zT0dGBv1O2a2pqClc80Lgs4JfV8IRssoCfsI6AzNuY3tnZKfMb3pJ8Mr0rpalIdYR4YmWRvXfmeNLExFRpQkuURWUUR/0SGyTTVz5wlBKwaHsrAT2D5EvAtgiUgLnbWwnoGUQJWGMJGA4KlJiAycnzZ2QTWGojdnSuRe5+HhoaIl6DIO5qePK9IEw2ptuA0YZ14cZ0KopYu8ge4TQhYqOL7FGv3iqb96FruVjDEjAy8BU4SglYCpMrAV1r5EvA1giUgHmZXAnoWkMJWKMEVAKWB5GLaurq6mSHoJhj2j79EsJeyhI5TTBpBuD4/dDf3z88PAxB4Is9eLerqytcs+IeuuAeXxCus7EbU6xYmqAhmoteK7NAjvzL+/KeHCFnUdgNIZh+2ixf4CizMb3Fw9zZmJ5UAvqoPAL69DMUnFXalA5KQCVgWREhIJaWBTGyT3+mCJjdL23m7hnIAkHgC5+Dg4N9fX3t7e2eRnjNPXTBPb7AGzGkItURgigrlibkVpsydVQIKBbH9NMW5ASOUgLOml+UgMk4AZsiUAKW3i9KwOS8JKB7RKCcVpdl4GGhQeldgy+WL18OiQjQ5E5SWQ4aDpYQu7mRnRsthmEd1WVJrMhEOE3QUHjpTAmQ3TYyDOOae9rXIHCUErAAIxcGJWAyTsDGCJSARfkpCiVgcg4RcGKoUvSc0jZCQLkzhT5hjuxj/7ybqTEK5OIUqNHT0yMHIUdXryadQxcGBgaGDUikO75A1pgiSmQinCZoqGQHHVjYkaYsBpR5ITG3fztQ4KgqJWBC/ktMJBJuvsFUl5WApcJMEbAhgkonYAou+xI2bwJTXVYClgpKQBeJRE2MgImJf5unGUXuHMUc2W+Mw7yU8C8ZLRVkVqatra3DgARKRZuhWGdnp90+SYLHpuBC86TxOEJcmf7sQ0lgL77FPJm4bW+JazRX1PhnQU1z0oTPqouAU9rn+BcwqQQsBUpIwGmOqjoCTkEJaFD9BFwWQaUTMI8fIUkTvGAU6RlWzHQygr0hPHvRwiAXictPvQy319F2S0sLpJMjk0nwmI5W7s1seV8NnwswA21bw2Q6Y9EWBRjdD6UDR1UpAfMYhkkqAYuGEjBXKAGrkIBLI5hbBMQo2KzeIIt3MB5GtiM2MzWdX2uQmd7uflJZ2Z6hMKJEZqk1NcAMdmwF82SJMCWOBhjd72LgKCXgdCgBY1AC5golYKk1NZhZAtZFMLcImDQeX2KQiVJYS46XbTbIbuqZBvrKH4SSne1fGORrKVaRY44zfXdkxgREvg+Bo5SADpSAaaAEzBVKwBmBEjBXpCVgMpe4S7axyx66lpLf71qtcG9ftVbJYsa08WjgKJJLIlACKgEnoQTMA0rA0kMJmAcyEVBMk8nU7kkydhv7TA1tVA1kkb1rlSwETGYwdOAokosjUAIqASehBMwDSsDSQwmYB5SApceME7A2AiWgEnASSsA8oAQsPZSAeUAJWHooAfNAteqdEXOxUy4BF0ZQrX2uVr3nHZSAirJCCVhFmIudcgm4IIJq7XNmvYvqVXVWrlStlYAlFl2plStVayVgiUVXauVK1dolYGy4JpGu9LSt4JVHUyVgpTRcSgI6R19MP5ClAgmoqBJk85nr1Jopwjrsm8ZLhaJQ+HwLMtIRsBL/CVbMQSgBFWWFElBRXkwEe4npAWCNElAxS5gYdHFIJz+CExX4O1ihUCgUCoVCoZhAIn6m9CxULsXkZWHVimm4jPaak5gYNApO1Z/5yva3W0GVJxUopFoxDZfRXnMXsXtFZr6yO2pa4NhpYdWKbrg89pqziF/tlXPtIiqXiYDFNlxUl4sy9tzC1GhlAV/KycoFubKoytMEFVatuIbL+edzjqJwm9iQev78BSyuy0pAH0UH1TWFVra+nPUfIcU0XFSX9UdIBMWMDLj/ls5uZSukkDrl01qHYRQKhUKhUCgUCoVCoVAoFAqFQqFQKBQKhSIz3K2vug1WMetIZHhSKGYC09bQybqShC4tUcwaIgScXFanBFTMPJSAirJCCagoKxI1zunHSkDFrCPhbKRITG1x1GEYhUKhUCgUCoVCoahW/B9pKf/b/UdSuwAAAABJRU5ErkJggg==" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![uv.png](attachment:uv.png)\n", + "Note: The distance was 10 pc, in order to see more visibility maxima and minima. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/tutorials/Vis.dat b/tutorials/Vis.dat new file mode 100644 index 0000000..5261488 --- /dev/null +++ b/tutorials/Vis.dat @@ -0,0 +1,661 @@ +# time u v wavelength bandwidth vis sigma +0.25000000 1.00000000e+00 0.00000000e+00 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.25000000 2.00000000e+00 0.00000000e+00 5.50000000e-07 1.00000000e-07 0.00000000 0.10000000 +0.25000000 3.00000000e+00 0.00000000e+00 5.50000000e-07 1.00000000e-07 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+grids_ABS/TEST/lte05900-4.50-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 5900 4.50 1.0 1.0 +grids_ABS/TEST/lte06000-4.00-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 6000 4.00 1.0 1.0 +grids_ABS/TEST/lte06000-4.50-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 6000 4.50 1.0 1.0 +grids_ABS/TEST/lte06100-4.00-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 6100 4.00 1.0 1.0 +grids_ABS/TEST/lte06100-4.50-0.0.PHOENIX-ACES-AGSS-COND-2011-HiRes.vis.dat 6100 4.50 1.0 1.0 + diff --git a/tutorials/grids/TEST/AG05750g400v1.vis.1 b/tutorials/grids/TEST/AG05750g400v1.vis.1 new file mode 100644 index 0000000..a3582dd --- /dev/null +++ b/tutorials/grids/TEST/AG05750g400v1.vis.1 @@ -0,0 +1,20001 @@ +6450.00 0.986520 +6450.01 0.986290 +6450.02 0.984290 +6450.03 0.977940 +6450.04 0.963970 +6450.05 0.940700 +6450.06 0.911050 +6450.07 0.883060 +6450.08 0.865840 +6450.09 0.864490 +6450.10 0.877370 +6450.11 0.896500 +6450.12 0.911360 +6450.13 0.914740 +6450.14 0.906090 +6450.15 0.889880 +6450.16 0.871650 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