{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Constructing an Optical Path Difference (OPD) map for JWST observations some time after maximum pitch angle change due to slew\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* *os* for joining paths\n", "* *astropy.io* fits for accessing FITS files\n", "* *astropy.units* for using quantities\n", "* *numpy* for performing basic math functions and array manipulation\n", "* *matplotlib* for plotting data\n", "* *matplotlib inline* for creating inline plots\n", "* *webbpsf* for using the thermal model and creating simulated PSFs" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Standard Library\n", "import os\n", "\n", "# Third Party\n", "from astropy.io import fits\n", "import astropy.units as u\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "import webbpsf\n", "\n", "plt.rcParams.update({'figure.dpi' : 100,\n", " 'font.size' : 12,\n", " 'image.origin' : 'lower',\n", " 'image.interpolation' : 'nearest',\n", " 'image.cmap' : 'RdBu_r'})\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook will walk through creating a JWST OPD for a given time after the observatory has undergone a *maximum* change in pitch angle relative to the sun. \n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This work is based off of five thermal Optical Path Difference (OPD) models we have for 10,000 seconds, 1 day, 7 days, 14 days, and 30 days after the telescope has finished a slew that results in the maximum sun pitch angle change of 50 degrees. We fit these data with a second order thermal response function and saved the fitting parameters to a FITS table, which is what is used to create these final OPDs, at any given time after slew. Once we have the OPD for any time after slew, we can combine this with the predicted or requirment OPDs expected for each instrument and simulate the predicted PSF at that time. This helps us predict the stability of the observatory based solely on the thermal impact of slewing the telescope relative to the sun." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Table of Contents " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. [Construct the surfaces at different times after maximum angle](#section1)\n", " * [Time since maximum slew = 15 mins](#section1.1)\n", " \n", " * [Time since maximum slew = 1 hour](#section1.2)\n", " \n", "2. [Construct the surfaces at different times after a slew of some angle](#section2)\n", " * [Time since maximum slew = 15 mins](#section2.1)\n", " \n", " * [Time since maximum slew = 1 hour](#section2.2)\n", "\n", "3. [Construct the surfaces at different times after some slew, scaled](#section3)\n", " * [Time since maximum slew = 15 mins](#section3.1)\n", " \n", " * [Time since maximum slew = 1 hour](#section3.2)\n", " \n", "4. [Some examples for how to create and compare PSFs with delta OPDs](#section4)\n", " * [Create a NIRCam Imaging PSF](#section4.1)\n", " * [Create a NIRCam Coronagraphic PSF](#section4.2)\n", " * [Compare a nominal PSF with a PSF after maximum slew - NIRISS AMI](#section4.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Construct the surfaces at different times after *maximum* angle " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NOTE: Make sure to keep an eye on units and the stretch for each OPD. The stretch is kept consistent across all `delta_time`s." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Plotting constants\n", "vmin = -1\n", "vmax = 1\n", "m_to_nm = 1e9" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Time since maximum slew = 15 mins " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a OPD for 15 minutes after slew after the maximum slew angle (start angle = -5 degrees, and end angle = 45 degrees)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This OPD is in units of: meter\n" ] } ], "source": [ "delta_time = 15 * u.min # Delta time should be an astropy units quantity\n", "otelm = webbpsf.opds.OTE_Linear_Model_WSS()\n", "otelm.thermal_slew(delta_time=delta_time)\n", "\n", "print(\"This OPD is in units of: {}\".format(otelm.opd_header['BUNIT']))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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GEBOADYSDsAFebBHgy3OkWYEirEumGOBalRICdhxenIrEkJxzXhBcJsRy/jnr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\nD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+Z19Uf2N34c199dZF17DW4drQ3/imgaOYonc4MT985KtHfYuf0jXf/HHhra8/m19bBy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\nkw+tcM+xXf8+5fCt+RlR1YgTI7rlTlWNK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,8))\n", "plt.imshow(otelm.opd * m_to_nm, vmin=vmin, vmax=vmax) # Convert to nm\n", "plt.title(\"OPD for delta time = {}\".format(delta_time))\n", "cbar = plt.colorbar()\n", "cbar.set_label('[nm]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Time since maximum slew = 1 hour" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a OPD for 1 hour after slew after the maximum slew angle (start angle = -5 degrees, and end angle = 45 degrees)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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KBEqOFCvCUmWQ3/KDMsQ3cf/clNYaIEkPoWkyRcmrSdy/rSal/bhPojYZVolS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S6XvlqtE1VrrB1SPdLMQlSldSmVZhZH/jcrUmixQo1TaRMr1LTWiCvUkvGjC73UUjDE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\nzHxB2CGiKwA8MPG41zDzR+b1IpiZiWihbfa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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta_time = 1 * u.hour\n", "otelm = webbpsf.opds.OTE_Linear_Model_WSS()\n", "otelm.thermal_slew(delta_time=delta_time)\n", "\n", "plt.figure(figsize=(10,8))\n", "plt.imshow(otelm.opd * m_to_nm, vmin=vmin, vmax=vmax)\n", "plt.title(\"OPD for delta time = {}\".format(delta_time))\n", "cbar = plt.colorbar()\n", "cbar.set_label('[nm]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Construct the surfaces at different times after a slew of some angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Time since maximum slew = 15 mins" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now create a OPD for 15 minutes after a slew of an arbitray start and end angle (not a maximum slew)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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fW8Pt6l5TFC9a5ygdFUeK0iJUJFm/H9iElMSV1xROWvJIUZQuUXGkKAV44Oz6wgoh37w5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta_time = 15 * u.min # Delta time should be an astropy units quantity\n", "otelm = webbpsf.opds.OTE_Linear_Model_WSS()\n", "otelm.thermal_slew(delta_time=delta_time, start_angle=10., end_angle=35.)\n", "\n", "plt.figure(figsize=(10,8))\n", "plt.imshow(otelm.opd * m_to_nm, vmin=vmin, vmax=vmax)\n", "plt.title(\"OPD for delta time = {}\".format(delta_time))\n", "cbar = plt.colorbar()\n", "cbar.set_label('[nm]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Time since maximum slew = 1 hour" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now create a OPD for 1 hour after a slew of an arbitray start and end angle (not a maximum slew)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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VhkKOCqYGazVSI5xaC4F3Q1XIkyROORLbiNBI/xXHFDR63TlY8zVRN76U4mJE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\nXuRC/igQJdM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta_time = 1 * u.hour # Delta time should be an astropy units quantity\n", "otelm = webbpsf.opds.OTE_Linear_Model_WSS()\n", "otelm.thermal_slew(delta_time=delta_time, start_angle=10., end_angle=35.)\n", "\n", "plt.figure(figsize=(10,8))\n", "plt.imshow(otelm.opd * m_to_nm, vmin=vmin, vmax=vmax)\n", "plt.title(\"OPD for delta time = {}\".format(delta_time))\n", "cbar = plt.colorbar()\n", "cbar.set_label('[nm]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Construct the surfaces at different times after some slew, scaled" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Time since maximum slew = 15 mins" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now create a OPD for 15 minutes after slew, however this time you will just scale the maximum by some factor." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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wlCTkWH2EVOjEwDtWCHT+NDByCCILJgFjXE60cSwjw7icfVK+sgjDgEC6z1jw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\n5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta_time = 15 * u.min # Delta time should be an astropy units quantity\n", "otelm = webbpsf.opds.OTE_Linear_Model_WSS()\n", "otelm.thermal_slew(delta_time=delta_time, scaling=.5)\n", "\n", "plt.figure(figsize=(10,8))\n", "plt.imshow(otelm.opd * m_to_nm, vmin=vmin, vmax=vmax)\n", "plt.title(\"OPD for delta time = {}\".format(delta_time))\n", "cbar = plt.colorbar()\n", "cbar.set_label('[nm]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Time since maximum slew = 1 hour" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now create a OPD for 15 minutes after slew, however this time you will just scale the maximum by some factor." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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JJc61lnLBhYTS166827MeLfqUfgq4NRu4WCReNMVjkGw3qd3/hAtvDa6fliN2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\nLTsxsZsjKjVrt3m831+LHKeekZ5fWChl1DFK0bY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tq5cSsV9/OgjbasPWyRqNtxsCp61d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\n9QSpArXrZusjAUC2zkJq4q6Zs4EQdgsm7ekaMFuPCpMba2+p82DOBlxtn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occvoY+eIUp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta_time = 1 * u.hour # Delta time should be an astropy units quantity\n", "otelm = webbpsf.opds.OTE_Linear_Model_WSS()\n", "otelm.thermal_slew(delta_time=delta_time, scaling=.5)\n", "\n", "plt.figure(figsize=(10,8))\n", "plt.imshow(otelm.opd * m_to_nm, vmin=vmin, vmax=vmax)\n", "plt.title(\"OPD for delta time = {}\".format(delta_time))\n", "cbar = plt.colorbar()\n", "cbar.set_label('[nm]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "\n", "## Some examples for how to create and compare PSFs with delta OPDs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Make sure to change the below paths are correct " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Path to your `webbpsf-data` directory\n", "path_to_webbpsf_data = webbpsf.utils.get_webbpsf_data_path()\n", "\n", "# Path to where you want to save out your files\n", "path_to_out = \"\" " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Convenience functions" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "jwst_pupil = fits.getdata(os.path.join(path_to_webbpsf_data, \"jwst_pupil_RevW_npix1024.fits.gz\"))\n", "\n", "def calculate_opd_rms(opd, mask=jwst_pupil, m_to_nm=True, um_to_nm=False):\n", " \"\"\"\n", " Find the root mean square for an OPD within a mask\n", "\n", " \"\"\"\n", " rms = np.sqrt(np.mean(np.square(opd[mask != 0])))\n", " \n", " # Convert from units of m to nm\n", " if m_to_nm:\n", " rms /= 10**(-9)\n", " elif um_to_nm:\n", " rms /= 10**(-3) \n", " return rms\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def check_units(opd, opdunits, verbose=False):\n", " \"\"\"\n", " Make sure that the coefficients are in the correct units - meters.\n", " (Adapted from poppy.poppy_core.FITSOpticalElement)\n", " \"\"\"\n", " opd_copy = np.copy(opd)\n", " # normalize and drop any trailing 's'\n", " opdunits = opdunits.lower()\n", " if opdunits.endswith('s'):\n", " opdunits = opdunits[:-1]\n", "\n", " # rescale OPD to meters if necessary\n", " if opdunits in ('meter', 'm'):\n", " if verbose:\n", " print(\"OPD in units of METER\")\n", " pass\n", " elif opdunits in ('micron', 'um', 'micrometer'):\n", " if verbose:\n", " print(\"OPD in units of MICRON\")\n", " if len(opd_copy.shape) > 2:\n", " for o in opd_copy:\n", " o *= 1e-6\n", " else:\n", " opd_copy *= 1e-6 \n", " elif opdunits in ('nanometer', 'nm'):\n", " if verbose:\n", " print(\"OPD in units of NANOMETER\")\n", " if len(opd_copy.shape) > 2:\n", " for o in opd_copy:\n", " o *= 1e-9\n", " else:\n", " opd_copy *= 1e-9\n", " else:\n", " raise ValueError(\n", " \"Got opdunits (or BUNIT header keyword) {}. Valid options \"\n", " \"are meter, micron, nanometer, or radian.\".format(repr(opdunits)))\n", " return opd_copy" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def combine_opds(base_opd, delta_opd_otelm, outname=None, verbose=True):\n", " \"\"\"\n", " Combine two OPDs, where the second is a delta_opd due to thermal variation after maximum slew.\n", " The base_opd will be passed in as a string, the delta_opd can be passed as a string or array-like\n", " Function adapted from Marshall Perrin\n", " \n", " Parameters\n", " ----------\n", " base_opd: str\n", " Original OPD (usually of the form: 'OPD_Rev{}_ote_for_{}_requirements.fits.gz')\n", " delta_opd_otelm: WebbPSF OPD object\n", " WebbPSF OPD object for the OPD to be added to the original OPD, that has the attribute for \n", " the OPD itself, but also includes information such as the units of that OPD.\n", " outname: string\n", " Name of output combined OPD\n", " verbose: bool\n", " Whether or not to print out what is happening\n", " \"\"\"\n", " # --------------------------------- Open OPDs ---------------------------------\n", " # Open base_opd\n", " opdf = fits.open(base_opd)\n", " opd = opdf[0].data\n", " opd_header = opdf[0].header\n", " try:\n", " opd_units = opd_header['BUNIT']\n", " except KeyError:\n", " raise Exception(\"No opdunit keyword supplied, and BUNIT keyword not found in header. \"\n", " \"Cannot determine OPD units.\")\n", " \n", " opd = check_units(opd, opd_units) # Return units of METER\n", " \n", " # Get delta opd and info about the slew\n", " delta = delta_opd_otelm.opd\n", " delta_units = delta_opd_otelm.opd_header['BUNIT']\n", " delta_time = delta_opd_otelm.opd_header['DELTA_T']\n", " delta_time_unit = u.day #Know that the units in the header are in days (can check opd_header comment)\n", " start_angle = delta_opd_otelm.opd_header['STARTANG']\n", " end_angle = delta_opd_otelm.opd_header['ENDANG']\n", " try:\n", " amplitude = delta_opd_otelm.opd_header['SCALING']\n", " except KeyError:\n", " amplitude = np.sin(np.radians(end_angle) - np.radians(start_angle)) / np.sin(np.radians(45.) - np.radians(-5.))\n", " \n", " delta = check_units(delta, delta_units) # Return units of METER\n", " \n", " if verbose:\n", " print(\"Found a {} shape OPD\".format(opd.shape))\n", " print(\"Adding delta OPD with scaling {}\".format(amplitude))\n", " \n", " \n", " # --------------------------------- Add the OPDs ---------------------------------\n", " # If the base_opd is a cube, loop over the different OPDs in base_opd, \n", " # add the OPDs together, scaling as necessary, otherwise just add them\n", " opd_out = np.zeros_like(opd)\n", " if len(opd.shape) > 2:\n", " for i, o in enumerate(opd):\n", " opd_out[i] = o + delta\n", " if verbose:\n", " print(\"  Adding to cube slice {}\".format(i))\n", " else:\n", " opd_out = opd + delta\n", " if verbose:\n", " print(\"  Adding to OPD.\")\n", "\n", " \n", " # --------------------------------- Update header ---------------------------------\n", " if len(opd_out.shape) > 2:\n", " for i, o in enumerate(opd_out): \n", " opd_header[\"WFE_RMS{}\".format(i)] = (\"{:.1f}\".format(calculate_opd_rms(o)), \n", " \"RMS wavefront error in slice {} [nm]\".format(i))\n", "\n", " else:\n", " opd_header[\"WFE_RMS\"] = (\"{:.1f}\".format(calculate_opd_rms(opd_out)), \n", " \"RMS wavefront error [nm]\")\n", " \n", " opd_header['BUNIT'] = 'meter'\n", " opd_header.add_history(\"Modified OPD by adding oscillation\")\n", " opd_header.add_history(\" delta from {} {} after max slew\".format(delta_time, delta_time_unit))\n", " opd_header.add_history(\" scaled by {}\".format(amplitude))\n", " \n", " opd_header['ORIGINAL'] = (os.path.basename(base_opd), \n", " \"Original file for this OPD\")\n", "\n", "\n", " # --------------------------------- Quick check/test ---------------------------------\n", " if np.array_equal(opd[0], opd_out[0]):\n", " print(\"WARNGING: Out OPD not changed. Returning nothing\")\n", " \n", " \n", " # --------------------------------- Write out new file ---------------------------------\n", " if outname is None:\n", " outbase = os.path.basename(base_opd).split('.')[0]\n", " outname = \"{}_VARIANT_thermal_{:.2f}{}_{:.1f}a.fits\".format(outbase, delta_time, \n", " delta_time_unit, amplitude)\n", " # Make new hdulist\n", " hdul = fits.PrimaryHDU(data=opd_out)\n", " hdul.header = opd_header\n", "\n", " hdul.writeto(outname, overwrite=True)\n", " if verbose:\n", " print(\"Output to {}\".format(outname))\n", "\n", " return outname" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Create an OPD for 1 day after maximum slew" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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dLO2h10CTmyrry+LeMrjFjO4tyT0IAF978kxFiDQhcOrE9IR8B01UYeYJshmm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\ndWfgAqW3Gx5xk8IqYdLnOUHxUnduE8GD3kVN9L7M4626z+E3aouSj8emt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta_time_1d = 1 * u.day # Delta time should be an astropy units quantity\n", "otelm_1d = webbpsf.opds.OTE_Linear_Model_WSS()\n", "otelm_1d.thermal_slew(delta_time=delta_time_1d)\n", "\n", "plt.figure(figsize=(10,8))\n", "plt.imshow(otelm_1d.opd * m_to_nm)\n", "plt.title(\"OPD for delta time = {}\".format(delta_time_1d))\n", "cbar = plt.colorbar()\n", "cbar.set_label('[nm]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Create a NIRCam Imaging PSF with slew" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "req_opd_nrc = os.path.join(path_to_webbpsf_data,\"NIRCam\", \"OPD\", \"OPD_RevW_ote_for_NIRCam_requirements.fits.gz\") " ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "nc1 = webbpsf.NIRCam()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found a (10, 1024, 1024) shape OPD\n", "Adding delta OPD with scaling 1.0\n", "  Adding to cube slice 0\n", "  Adding to cube slice 1\n", "  Adding to cube slice 2\n", "  Adding to cube slice 3\n", "  Adding to cube slice 4\n", "  Adding to cube slice 5\n", "  Adding to cube slice 6\n", "  Adding to cube slice 7\n", "  Adding to cube slice 8\n", "  Adding to cube slice 9\n", "Output to OPD_RevW_ote_for_NIRCam_requirements_VARIANT_thermal_1.00d_1.0a.fits\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING: VerifyWarning: Card is too long, comment will be truncated. [astropy.io.fits.card]\n" ] } ], "source": [ "# Get OPDs to combine\n", "# Use the requirements OPD as your base\n", "# Use the 1d otelm object as your delta\n", "nc1.pupilopd = combine_opds(req_opd_nrc, otelm_1d, verbose=True)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "psf_nc1 = nc1.calc_psf(oversample=4) # returns an astropy.io.fits.HDUlist containing PSF and header" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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u1VRXLJnHWP+gdyZvFgXm69bah85UTtN5fdip033NH3b4yqUzm/OP7SX1puSu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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(10,8))\n", "webbpsf.display_psf(psf_nc1, ext=1, ax=ax, colorbar=True, colorbar_orientation='horizontal')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Create a NIRCam Coronagraphic PSF with slew" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "nc2 = webbpsf.NIRCam()\n", "# Apply coronagraphic mask with corresponding filter\n", "nc2.image_mask = 'MASK335R'\n", "nc2.filter = 'F335M'" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OPD_RevW_ote_for_NIRCam_requirements_VARIANT_thermal_1.00d_1.0a.fits\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING: VerifyWarning: Card is too long, comment will be truncated. [astropy.io.fits.card]\n" ] } ], "source": [ "# Get OPDs to combine\n", "# Use the requirements OPD as your base\n", "# Use the 1d otelm object as your delta\n", "nc2.pupilopd = combine_opds(req_opd_nrc, otelm_1d, verbose=False)\n", "print(nc2.pupilopd)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "psf_nc2 = nc2.calc_psf(oversample=4) # returns an astropy.io.fits.HDUlist containing PSF and header" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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lvu5872htS+6bn0dmk/osEt87WleTObPTUD4R5b4/8PwR9yWtyoGURu5N8j2ttXdU1WOS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\nudeV2M/uTfI9rbXzknxKkm8/RM61HqQcSOmg0Vp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(10,8))\n", "webbpsf.display_psf(psf_nc2, ext=1, ax=ax, colorbar=True, colorbar_orientation='horizontal')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Compare a nominal PSF with a PSF after maximum slew - NIRISS AMI" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "req_opd_nrs = os.path.join(path_to_webbpsf_data,\"NIRISS\", \"OPD\", \"OPD_RevW_ote_for_NIRISS_requirements.fits.gz\") " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Create a NIRISS Aperture Masking Interferometry (AMI) PSF without slew" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/Users/kbrooks/git_repos/webbpsf-data/NIRISS/OPD/OPD_RevW_ote_for_NIRISS_requirements.fits.gz\n" ] } ], "source": [ "niriss1 = webbpsf.NIRISS()\n", "# Apply coronagraphic mask with corresponding filter\n", "niriss1.filter = \"F380M\"\n", "niriss1.pupil_mask = \"MASK_NRM\"\n", "\n", "niriss1.pupilopd = req_opd_nrs\n", "print(niriss1.pupilopd)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "psf_nrs1 = niriss1.calc_psf(oversample=1) # returns an astropy.io.fits.HDUlist containing PSF and header" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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mHyb2vfpsz/HZZ4rX6BrUfftT8j3G3B9zhIjtzcsh9vWJYgaMj2ef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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(10,8))\n", "webbpsf.display_psf(psf_nrs1, ext=1, ax=ax, colorbar=True, colorbar_orientation='horizontal')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Create a NIRISS Aperture Masking Interferometry (AMI) PSF with slew" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "niriss2 = webbpsf.NIRISS()\n", "# Apply coronagraphic mask with corresponding filter\n", "niriss2.filter = \"F380M\"\n", "niriss2.pupil_mask = \"MASK_NRM\"" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OPD_RevW_ote_for_NIRISS_requirements_VARIANT_thermal_1.00d_1.0a.fits\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING: VerifyWarning: Card is too long, comment will be truncated. [astropy.io.fits.card]\n" ] } ], "source": [ "# Get OPDs to combine\n", "# Use the requirements OPD as your base\n", "# Use the 1d otelm object as your delta\n", "niriss2.pupilopd = combine_opds(req_opd_nrs, otelm_1d, verbose=False)\n", "print(niriss2.pupilopd)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true }, "outputs": [], "source": [ "psf_nrs2 = niriss2.calc_psf(oversample=1) # returns an astropy.io.fits.HDUlist containing PSF and header" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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fiZqvxwwUe6txf8SLUfOnY17TzGTx+XlNMRfHvf6YS+Q1zHPI42NGjfh8R6Nm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\nkiRpJBdSkiRJI7mQkiRJGsmFlCRJ0kgupCRJkkZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(10,8))\n", "webbpsf.display_psf(psf_nrs2, ext=1, ax=ax, colorbar=True, colorbar_orientation='horizontal')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Compare the two PSFs by displaying the difference" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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FoYADAAAoDAUcAABAYcjAYTKaZFSGXieyaV6n77VQc33ne5ruv2m+K8+L5Rm6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\n3XuN9x1m+wLbF9l+xXq2t/3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(10,8))\n", "webbpsf.display_psf_difference(psf_nrs1, psf_nrs2, ext1=1, ext2=1, ax=ax, colorbar=True, \n", " colorbar_orientation='horizontal', title='Difference between original and scaling=1')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## About this notebook " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Author(s): \n", "Keira Brooks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Updated On: \n", "May 20, 2019" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Top of Page](#top_of_page)" ] } ], "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": "3.5.6" } }, "nbformat": 4, "nbformat_minor": 2 }