Skip to content

Instantly share code, notes, and snippets.

@jmeyers314
Last active October 30, 2019 17:32
Show Gist options
  • Save jmeyers314/3c5e69ada9d2276fac401eefa8b42f9f to your computer and use it in GitHub Desktop.
Save jmeyers314/3c5e69ada9d2276fac401eefa8b42f9f to your computer and use it in GitHub Desktop.
Batoid ImSim integration
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import galsim\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Make up some OpSim numbers.\n",
"# OpSim docs are a bit unclear, but do provide that rSP = rTP - q, \n",
"# |rSP| is |angle between N and up|\n",
"# |rTP| is |angle between z and up|\n",
"# I know that parallactic angle q:\n",
"# q = z measured CCW from N\n",
"# From this I surmise:\n",
"# rSP = N measured CCW from up\n",
"# rTP = z measured CCW from up\n",
"\n",
"boresight = galsim.CelestialCoord(ra=30*galsim.degrees, dec=-10*galsim.degrees)\n",
"rotTelPos = 35.0*galsim.degrees\n",
"rotSkyPos = 10.0*galsim.degrees\n",
"q = rotTelPos - rotSkyPos"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Prepare an atmosphere\n",
"import multiprocessing\n",
"rng = galsim.BaseDeviate(1)\n",
"ud = galsim.UniformDeviate(rng)\n",
"atm = galsim.Atmosphere(\n",
" 1024.0,\n",
" rng=rng,\n",
" r0_500=0.2, # good seeing\n",
" L0=25.0,\n",
" r0_weights=[0.3, 0.3, 0.2, 0.1, 0.05, 0.05],\n",
" direction=[ud()*galsim.degrees for _ in range(6)],\n",
" speed=[ud()*20 for _ in range(6)]\n",
")\n",
"psf = atm.makePSF(750, diam=8.36)\n",
"with multiprocessing.Pool(6) as pool:\n",
" atm.instantiate(pool=pool, kmax=psf.screen_kmax)\n",
"# Pre-cache 2nd kick\n",
"_ = psf.drawImage(nx=1, ny=1, n_photons=1, rng=rng, method='phot')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# Coord in the LSST FoV, displace to north in this case\n",
"objCoord = galsim.CelestialCoord(\n",
" ra=boresight.ra,\n",
" dec=boresight.dec + 1.5*galsim.degrees\n",
")\n",
"# Make a sheared object. +g1 should smear things along RA direction I believe.\n",
"gal = galsim.Gaussian(sigma=1.0).shear(g1=0.5)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"# Goal is to get incoming field angle in coords aligned with\n",
"# altitude and azimuth, since these correspond to the physical \n",
"# position of the telescope, including, for example, struts. \n",
"# So need an affine rotation by the parallactic angle,\n",
"# and a tangent plane projection for ra/dec -> u,v.\n",
"cq, sq = np.cos(q), np.sin(q) # +q or -q here?\n",
"jac = [cq, -sq, sq, cq]\n",
"affine = galsim.AffineTransform(*jac)\n",
"wcs = galsim.TanWCS(affine, boresight, units=galsim.arcsec)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"galsim.PositionD(2282.660140761937,4895.180469035298)\n"
]
}
],
"source": [
"field_pos = wcs.toImage(objCoord) # field angle gnomonic projection in arcsec\n",
"print(field_pos)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"sed = galsim.SED(\"Vega.txt\", wave_type='nm', flux_type='flambda')\n",
"bp = galsim.Bandpass(\"LSST_i.dat\", wave_type='nm')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# Apply DCR and wavelengths here,\n",
"# Don't apply FRatioAngles, since that will emerge from batoid\n",
"sed = galsim.SED(\"Vega.txt\", wave_type='nm', flux_type='flambda')\n",
"bp = galsim.Bandpass(\"LSST_i.dat\", wave_type='nm')\n",
"surface_ops = [\n",
" galsim.WavelengthSampler(sed, bp, rng=rng),\n",
" galsim.PhotonDCR(\n",
" 750, \n",
" zenith_angle=30*galsim.degrees, # made up a zenith angle\n",
" parallactic_angle=q\n",
" )\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"final = galsim.Convolve(\n",
" gal,\n",
" atm.makePSF(\n",
" 750, \n",
" diam=8.36,\n",
" obscuration=0.606,\n",
" theta=(field_pos.x*galsim.arcsec, field_pos.y*galsim.arcsec)\n",
" )\n",
")\n",
"final *= 10000"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"# Ignoring the actual image that comes out, grab photons from drawImage.\n",
"photons = final.drawImage(\n",
" nx=1, ny=1, wcs=wcs, \n",
" method='phot', n_photons=10000,\n",
" surface_ops=surface_ops,\n",
" save_photons=True,\n",
").photons\n",
"field_x = photons.x + field_pos.x\n",
"field_y = photons.y + field_pos.y"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(field_x, field_y, s=0.05, alpha=0.2)\n",
"plt.xlim(np.mean(field_x)-8, np.mean(field_x)+8)\n",
"plt.ylim(np.mean(field_y)-8, np.mean(field_y)+8)\n",
"plt.gca().set_aspect(1)\n",
"plt.xlabel(\"$\\Delta$ azimuth (arcsec)\")\n",
"plt.ylabel(\"$\\Delta$ altitude (arcsec)\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"# Each photon generated above corresponds to a slightly different\n",
"# incoming field angle. Populate a batoid RayVector using those\n",
"# field angles. Do things the slow way (python for loop) for the\n",
"# moment. Will want to c++-ify this soon.\n",
"import batoid\n",
"import yaml\n",
"import os"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"fn = os.path.join(batoid.datadir, \"LSST\", \"LSST_r.yaml\")\n",
"config = yaml.safe_load(open(fn))\n",
"telescope = batoid.parse.parse_optic(config['opticalSystem'])\n",
"# Apply rotator here. Again, I'm not 100% about the sign.\n",
"telescope = telescope.withLocallyRotatedOptic(\n",
" \"LSST.LSSTCamera.Detector\", \n",
" batoid.RotZ(-rotTelPos.rad)\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"# Pick random points in the pupil. Use dumb rejection sampling for the moment\n",
"px = np.random.uniform(-4.18, 4.18, 30000)\n",
"py = np.random.uniform(-4.18, 4.18, 30000)\n",
"r = np.hypot(px, py)\n",
"w = r > 0.5*telescope.pupilSize*telescope.pupilObscuration\n",
"w &= r < 0.5*telescope.pupilSize\n",
"px = px[w][:len(photons)]\n",
"py = py[w][:len(photons)]\n",
"\n",
"# For now, define entrance pupil as the plane with height equal to the edge of M1.\n",
"# We'll want to start from farther up eventually to account for obscuration of struts and\n",
"# other baffles, but this should be okay for the moment.\n",
"zPupil = telescope.itemDict[\"LSST.M1\"].surface.sag(0, 0.5*telescope.pupilSize)\n",
"rays = []\n",
"for px0, py0, u0, v0, w0, f0 in zip(px, py, photons.x, photons.y, photons.wavelength, photons.flux):\n",
" dirCos = batoid.utils.fieldToDirCos(\n",
" np.deg2rad((u0+field_pos.x)/3600),\n",
" np.deg2rad((v0+field_pos.y)/3600),\n",
" projection='gnomonic'\n",
" )\n",
" v = np.array(dirCos)/telescope.inMedium.getN(w0)\n",
" rays.append(batoid.Ray(\n",
" px0, py0, zPupil, \n",
" v[0], v[1], -v[2],\n",
" t=0.0, \n",
" wavelength=w0*1e-9,\n",
" flux=f0\n",
" ))\n",
"rays = batoid.RayVector(rays)\n",
"rays, _ = telescope.traceInPlace(rays)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6, 6))\n",
"plt.scatter(rays.x/10e-6, rays.y/10e-6, s=0.2, alpha=0.2, c='r')\n",
"plt.xlim(np.mean(rays.x/10e-6)-20, np.mean(rays.x/10e-6)+20)\n",
"plt.ylim(np.mean(rays.y/10e-6)-20, np.mean(rays.y/10e-6)+20)\n",
"xmin = int(np.ceil(plt.xlim()[0]))\n",
"xmax = int(np.floor(plt.xlim()[1]))\n",
"ymin = int(np.ceil(plt.ylim()[0]))\n",
"ymax = int(np.floor(plt.ylim()[1]))\n",
"for x in range(xmin, xmax+1):\n",
" plt.axvline(x, alpha=0.5, lw=0.3)\n",
"for y in range(ymin, ymax+1):\n",
" plt.axhline(y, alpha=0.5, lw=0.3)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"# Put batoid results back into photons\n",
"photons.allocateAngles()\n",
"photons.x = rays.x/10e-6 # units of pixels\n",
"photons.y = rays.y/10e-6 # units of pixels\n",
"photons.dxdz = rays.vx/rays.vz\n",
"photons.dydz = rays.vy/rays.vz"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"sensor = galsim.SiliconSensor()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"9987.900121413935"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# image = galsim.Image(4096, 4096)\n",
"image = galsim.Image(64, 64)\n",
"\n",
"# For now, just center the image on the object. In production,\n",
"# we'll know the origin of the sensor a priori.\n",
"image.setCenter(int(np.mean(photons.x)), int(np.mean(photons.y)))\n",
"sensor.accumulate(photons, image)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x82b4d5748>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(image.array)"
]
},
{
"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": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Display the source blob
Display the rendered blob
Raw
Loading
Sorry, something went wrong. Reload?
Sorry, we cannot display this file.
Sorry, this file is invalid so it cannot be displayed.
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment