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@douglase
Forked from neilzim/wfirst_fresnel_test.ipynb
Last active May 23, 2018 23:16
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### import dependencies"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Poppy Version: /Users/edouglas/github/gists/wf_fresnel_test/0.6.2.dev1123\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING: AstropyDeprecationWarning: astropy.utils.compat.funcsigs is now deprecated - use inspect instead [astropy.utils.compat.funcsigs]\n"
]
}
],
"source": [
"import numpy as np\n",
"import os\n",
"\n",
"import poppy\n",
"\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"matplotlib.rcParams['image.origin'] = 'lower'\n",
"matplotlib.rcParams['image.interpolation'] = 'nearest'\n",
"matplotlib.rcParams['font.size'] = 9\n",
"\n",
"import astropy.io\n",
"import astropy.units as u\n",
"\n",
"print(\"Poppy Version: {0:s}\".format(os.path.abspath(poppy.__version__)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setup System\n",
"Data files for the WFIRST SPC are included with WebbPSF Data 0.6 (http://www.stsci.edu/~mperrin/software/webbpsf/webbpsf-data-0.6.0.tar.gz)\n",
"Via: http://webbpsf.readthedocs.io/en/stable/installation.html#installing-the-required-data-files"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#export environment variable:\n",
"os.environ['WEBBPSF_PATH'] = os.path.expanduser('~/STScI/WFIRST/webbpsf-data')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"\n",
"Tel_fname = os.path.join(os.environ['WEBBPSF_PATH'], \"AFTA_CGI_C5_Pupil_onax_256px_flip.fits\")\n",
"SP_fname = os.path.join(os.environ['WEBBPSF_PATH'], \"CGI/optics/CHARSPC_SP_256pix.fits.gz\")\n",
"FPM_fname = os.path.join(os.environ['WEBBPSF_PATH'], \"CGI/optics/CHARSPC_FPM_25WA90_2x65deg_-_FP1res4_evensamp_D072_F770.fits.gz\")\n",
"LS_fname = os.path.join(os.environ['WEBBPSF_PATH'], \"CGI/optics/SPC_LS_30D88_256pix.fits.gz\")\n",
"\n",
"wavelen = 770e-9\n",
"\n",
"D_prim = 2.37 * u.m\n",
"D_relay = 20 * u.mm\n",
"fr_pri = 7.8\n",
"fl_pri = D_prim * fr_pri\n",
"fl_m2 = fl_pri * D_relay / D_prim\n",
"fr_m3 = 20.\n",
"fl_m3 = fr_m3 * D_relay\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3. WFIRST shaped pupil "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/edouglas/anaconda/lib/python3.5/site-packages/scipy/ndimage/interpolation.py:600: UserWarning: From scipy 0.13.0, the output shape of zoom() is calculated with round() instead of int() - for these inputs the size of the returned array has changed.\n",
" \"the returned array has changed.\", UserWarning)\n",
"Optic(64, 64) is smaller than input wavefront[512, 512], will attempt to zero-pad the rescaled array\n",
"/Users/edouglas/anaconda/lib/python3.5/site-packages/scipy/ndimage/interpolation.py:600: UserWarning: From scipy 0.13.0, the output shape of zoom() is calculated with round() instead of int() - for these inputs the size of the returned array has changed.\n",
" \"the returned array has changed.\", UserWarning)\n",
"Optic(183, 183) is smaller than input wavefront[512, 512], will attempt to zero-pad the rescaled array\n"
]
},
{
"data": {
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0JxwabINIwg1ACQU+4ih/JqOljsqI4lefvMvlX73NedeeT93yL8myDF4//bY+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\nLxeVBSM5M51aBnuc98U/JnUpb31bm5itu9mx6DnmJT/MMX3b06T18dS+8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IQAAAu8SURB\nVEiNTR14nOgMbBHxNnBEhfVnFObnARs8qzxfGZpZtu594NgKdW8BbqlDk83MzMwaSrfJTr7tbHGF\normsG5PQTs/GJJBv27kVmBYRb1bad0TMBmYDjBgxouf3iZmZmZmZ2WdWt8lOvtVmn0plkoaSxg7c\nkP+Wvxzm0zEJeXks8IKkIcBtwI8i4uEq225mZmZmZtapWsfsVDUmATiNNLbgHEkLJP1bje0wMzMz\nMzNbT01jdqodkxARlwOX17JvMzMzMzOzrvilomZmZmZm1pCc7JiZmZmZWUNysmNmZmZmZg3JyY6Z\nmZmZmTUkJztmZmZmZtaQnOyYmZmZmVlDcrJj1kskjZTUKmmRpKskqUKdSZIezFNLYf0MSYsltUka\nk9ftJ2mZpA8kjS7U3VLS1ZLuye+t2npTHJ+ZmZlZf+dkx6z3nA3cHBEHAlsBLcVCSU2kF/NOztNl\nkpok7QpMjIj9gR8Cl+RNngL2BR4q288PgN9FxCER0RwR7/TWAZmZmZkNJE52zHpPM9Ca5+8ADior\n3xlYHhHtEdEOLAd2ytvNBYiIhcCeeX51RKypsJ9DgEn5qs6/1/sgzMzMzAYqJztmvWdroD3PtwPb\nlJWPBIpXYUp1ytc3dbOfcUAbcDCwm6RJ5RUkTZO0RNKSjo6OjT8CMzMzswFss75ugNlAlm9FW1yh\naC4pYRlOSmKGA6vK6qwCRhSWS3XK16/tphmrgLsiIiTNB74C3FWsEBGzgdkAI0aMiG7imZmZmTUE\nJztmNYiItcA+lcokDQWmADfkv38oq/I8MFbSsLw8FniBdMV1FjBL0n7AE900YwEwgTSWZwLwpx4f\niJmZmVkD8m1sZr3nUuB4SYuAj8hJiKRZkkblROk8YH6ezouItRHxNHC/pMXAxcCMvN2XJd1NGsNz\no6Tv5v2cC1woaSGwOfDHTXeIZmZmZv2Xr+yY9ZKIeBs4osL6Mwrz84B5FerMBGaWrXsOOLRC3ZeB\nw+vQZDMzM7OG4is7ZmZmZmbWkGpKdmp5aWIuO1hSFF+QaGZmZmZmVg+1Xtmp6qWJuUzAmcCSGttg\nZmZmZma2gVqTnWaqe2kiwNGkQdnv1dgGMzMzMzOzDdT6gIKqXpooaXPgFGAqcFRnwSVNA6blxQ9b\nW1ufrLG9ndkWeMux17NLL8W1PrZ69eq3WltbX+6mWr3OrXqeowM11o512o+ZmZn1ULfJTi+9NHEa\ncF1EdFQY5vOp4osQJS2JiAndtbcajl05dm/Etb4XEaO6q1Ovc6ue5+hnIZaZmZnVV7fJTi+9NPEM\nYCdJx5He9v5bSZMj4oOqjsLMzMzMzKxMrWN2qn1p4ncj4vCImAQsBf7ZiY6ZmZmZmdVTTWN2anlp\nYqG8eSN3N7un7esBx960sa3/q9e/fz3Po89CLDMzM6sjRURft8HMzMzMzKzuar2NzczMzMzMrF9y\nsmNmZmZmZg2p3yU7kkZKapW0SNJVqvBsakmTJD2Yp5aysoMlhaTR9YotqUXSQ5LukzRP0jaF+idK\nekDSYkl7lcUaLOn6vL/rJQ3O68dIasvbzOjis6gm9u/yNg9LOrGesQvl90m6urPY1v/U0q8kzcjn\nSVs+d0fm5fckfVzsa5K2lHS1pP+RtFrSIxViPZ/Llkjaq+x8uzFPi/L+luT5P0q6t7zPSPoPSX+R\n9K6k08r284CkN3Ibuux/uT/8b46ztND3B0m6VdKbuezu7vqxpDmSXi/vI/n/kXvycZxZ27+omZmZ\nbZSI6FcTcAnp6WwAc4BJZeVNpCe4jcjTUqAplwm4A3gUGF2v2MAXgC1ynX8BZub5rYHHgEGkx2rf\nXxbvVOCCPP994NQ8fxNwYJ6/G9i1Qlurjb1z/juY9JjvwfWKnZen5s/46r4+Vzz1fr8CdgXuznUO\nyufuJaR3ZQ0FXge+WYjzE2BSF7EW5HNvYj6P7i87324Hbs/zK4AZeX45cFaevzvH2gZ4HxhFeoT9\ne8U257hX5zZ31f/2zm1aluM8WGjzVOAB4AJgDPBqd/0Y2AFoLvYR0otHW4FBfX0uePLkyZMnT5+l\nqd9d2SF9SWjN83eQvmAV7Qwsj4j2iGgnfQnaKZcdTXrE9Xv1jB0Rr0TEh7lOB/Bxnv97YFFEdETE\ncmCopC02Yn/jI2JRnp9boR1Vx46I5/O6j4BPgEpPoKgqtqTPAacB/1khpvVvzVTXr5pJ5ygRsRDY\nM6+7JSLWAG+TzqeSQ4BvANsD36sQ61nSudcGfImUME0stG0QsHmefww4IF+F2paUKMG6PvN14LWI\nWBkRS0n9ctdCm5tJ5+qedN3/jgeeBF7McYYAL+c2/x8peWkFRublLvtxRKxgQ0eQXqh8u6S7JO1e\noY6ZmZnVWX9MdrYG2vN8O+nX26KRwDuF5XZgG0mbA6fQ9WNgq4pdWpC0HTAd+EUn9VfndZXiFWMV\nP/dK7agldskM4MZCklaP2N8ivTjW70QaeKo998vXN5XF+jgvl4wDniIlB7tJmlQWKwrxmkjn3l8X\n1m0FbJnnbyIlT88ARMSSsrbtAPylsO/3SVcqS20u/W2i6/63HenHgVIbVudY2wAvkq6S3grcCVzR\nRZxK/bhke1Jy9w/AOfhx1WZmZptETe/ZqZakJmBxhaK5pC8cw0lfHoaTfg0tWkW6NaakVGcacB2w\nFtiL9AtqR51iI2kY6QvPtIh4s7v6FcqLZZ90sU23bekmNpJOAPYAjq0Qt6rYeZzC8aRblA7oJK71\noV7oV78AhgGfk3RqXr816epGKdZmrEt8SnHuJJ0jraTbwkr7W0W6JbS0n7W57LnCuvdYdzXyx8Bd\nEXGkpHckHR0RtxTirQX+qrDvIcBLwOgcr3RMa+m6/72Z/w4vrFud638rzx+Tj/NO4PFO4lTqx8XP\npS0iOoAnJI3qoq6ZmZnVSZ9c2YmItRGxT4VpJnAfMCVXnZKXi54HxkoalhOQsaSxKXsA3yR9sfuY\n9AWluR6xJQ0BbgN+FBEPF+o/TLrNZnNJXwDWlF1J6Wx/T0jaL89PBhZW+Jiqii3pSOA40viM4pex\nWmOPJX1xbAUuBVokndJJfOsDvdCvvkq6/erZiNgHOBO4pyzWSOChQpwFpC/+Y4F9SeNuSn30PtLt\ncgdIOjDvcw1wbyHeB0DpXBwCtOX514AJeb7UZ24DPp8fmLAb6QrO03k/k/PfU4En6Lr/XQ/sno9/\nN9JVnR1zm0W69W4KKWEc1UWcSv24+LnsBSDpb4F3u6hrZmZmddLvXiqq9KSz35B+UV4KTI+ITyTN\nAi6OiJWSppAGDEN6WMC8shgLSIOmX61HbElnAeeS7usH+O+IuDjHPIl0+1wA/0pKtA6LiMtykjSH\n9Evzq8C3I+IDSV8EfkUan3BnRFzUyWdRTew1pNt+1uQwx1caQ1BN7MK2zfnzdbIzQNTSryRdQLqi\n1wGcTPoh4feksTBDSA8EuQHYBfg16SEFnyfdnvZihVgn5LLnSclIE/BfpHP2ddI5uT0p0diClHx0\nkPpLE4U+I+kK1p3H55MSjsNIt55NAb4IvEJKXDrtf7k/nEU6518i3WY2BPg5cDPpIQZDSInToV31\nY0kXkZKfvyElX0dGxHuSziY98GBz0sMWKl2FMzMzszrqd8mOmZmZmZlZPfTHBxSYmZmZmZnVzMmO\nmZmZmZk1JCc7ZmZmZmbWkJzsmJmZmZlZQ3KyY2ZmZmZmDcnJjpmZmZmZNSQnO2ZmZmZm1pCc7NSZ\npDGSHpF0jaQnJR0v6deSHpN0Xl+3z2wgcX8yMzOzWvilonUmaQywGNgJGEF6G/sY4C3g2YjYqY+a\nZjbguD+ZmZlZLXxlp3c8ExEfRMQbwIqIeCMiPgbel9TU140zG2Dcn8zMzKwqTnZ6R3QyD6BN2RCz\nBuD+ZGZmZlVxsmNmZmZmZg3JY3bMzMzMzKwh+cqOmZmZmZk1JCc7ZmZmZmbWkJzsmJmZmZlZQ3Ky\nY2ZmZmZmDcnJjpmZmZmZNSQnO2ZmZmZm1pCc7JiZmZmZWUP6f0qlKcJ4tj1PAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x108c43e10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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NOj8kKB9J48xsTdr/Fu7EM6T5c7WGfB7o1cBeZVjvNYOk2Xi32qxBCwd1haTDgNPN7K0D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\nopnIJElFM5FJkor2BNVVyBtrLA2SAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x108c436a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"oversamp=2\n",
"wfirst_optsys = poppy.FresnelOpticalSystem(pupil_diameter=D_prim, beam_ratio=1/oversamp, npix=256)\n",
"\n",
"telap = poppy.FITSOpticalElement(transmission=Tel_fname)\n",
"SP = poppy.FITSOpticalElement(transmission=SP_fname)\n",
"\n",
"#default FPM pixelscale is in arcsecs\n",
"FPM = poppy.FITSOpticalElement(transmission=FPM_fname,planetype=poppy.poppy_core.PlaneType.intermediate,\n",
" pixelscale=0.005)\n",
"SP.pixelscale=0.5*u.cm/SP.shape[0]/u.pix\n",
"FPM.pixelscale=0.5*u.cm/SP.shape[0]/u.pix\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"m1 = poppy.QuadraticLens(fl_pri, name='Primary')\n",
"m2 = poppy.QuadraticLens(fl_m2, name='M2')\n",
"m3 = poppy.QuadraticLens(fl_m3, name='M3')\n",
"m4 = poppy.QuadraticLens(fl_m3, name='M4')\n",
"m5 = poppy.QuadraticLens(fl_m3, name='M5')\n",
"m6 = poppy.QuadraticLens(fl_m3, name='M6')\n",
"\n",
"wfirst_optsys.add_optic(telap)\n",
"wfirst_optsys.add_optic(m1)\n",
"wfirst_optsys.add_optic(m2, distance = fl_pri + fl_m2)\n",
"wfirst_optsys.add_optic(m3, distance = fl_m2 + fl_m3)\n",
"wfirst_optsys.add_optic(m4, distance = 2*fl_m3)\n",
"wfirst_optsys.add_optic(SP, distance = fl_m3)\n",
"wfirst_optsys.add_optic(m5, distance = fl_m3)\n",
"wfirst_optsys.add_optic(FPM, distance = fl_m3)\n",
"\n",
"wfirst_optsys.add_optic(m5, distance = 2*fl_m3)\n",
"\n",
"wfirst_optsys.add_optic(poppy.ScalarTransmission(planetype=poppy.poppy_core.PlaneType.intermediate,\n",
" name='focus',),\n",
" distance=fl_m3+0.39999923*u.m)\n",
"plt.figure(figsize=(12,8))\n",
"psf, waves = wfirst_optsys.calcPSF(wavelength=wavelen,\n",
" display_intermediates=True, return_intermediates=True)\n",
"plt.tight_layout()\n",
"\n",
"plt.figure()\n",
"poppy.display_PSF(psf,vmin=1e-19,vmax=1e-13)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## plot last wavefront "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x1a1c3df048>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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V5iyzdZIyOsI0K+LcGNbqaM+LYtNa1sR7mgMwMZKAKamXYS4VHdN0LmMBsHVt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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x108e793c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[10,10])\n",
"exit_wf = waves[-1]\n",
"plt.imshow(poppy.utils.removePadding((np.log10(exit_wf.intensity)),oversamp), cmap='magma',vmin=-20)\n",
"plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note, the intensity above is _not_ contrast since it has not been renormalized."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"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": "3.5.4"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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