{ "cells": [ { "cell_type": "markdown", "id": "2a324070-a163-4b79-8e77-819da73083f3", "metadata": {}, "source": [ "# Multiplane Lensing\n", "\n", "The universe is three dimensional and filled with stuff. A light ray traveling to our telescope may encounter more than a single massive object on its way to our telescopes. This is handled by a multiplane lensing framework. Multiplane lensing involves tracing the path of a ray backwards from our telescope through each individual plane (which is treated similarly to typical single plane lensing, though extra factors account for the ray physically moving in 3D space) getting perturbed at each step until it finally lands on the source we'd like to image. For more mathmatical details see [Petkova et al. 2014](https://doi.org/10.1093/mnras/stu1860) for the formalism we use internally.\n", "\n", "The main concept to keep in mind is that a lot of quantities we are used to working with, such as \"reduced deflection angles\" don't really exist in multiplane lensing since these are normalized by the redshift of the source and lens, however there is no single \"lens redshift\" for multiplane! Instead we define everything with respect to results from full raytracing, once the raytracing is done we can define effective quantities (like effective reduced deflection angle) which behave similarly in intuition but are not quite the same in detail." ] }, { "cell_type": "code", "execution_count": 1, "id": "45b6a8b4", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import torch\n", "from torch.nn.functional import avg_pool2d\n", "import matplotlib.pyplot as plt\n", "from ipywidgets import interact\n", "from astropy.io import fits\n", "import numpy as np\n", "\n", "import caustic" ] }, { "cell_type": "code", "execution_count": 2, "id": "ab43e042", "metadata": {}, "outputs": [], "source": [ "# initialization stuff for lenses\n", "cosmology = caustic.FlatLambdaCDM(name = \"cosmo\")\n", "cosmology.to(dtype=torch.float32)\n", "n_pix = 100\n", "res = 0.05\n", "upsample_factor = 2\n", "fov = res * n_pix\n", "thx, thy = caustic.get_meshgrid(res/upsample_factor, upsample_factor*n_pix, upsample_factor*n_pix, dtype=torch.float32)\n", "z_s = torch.tensor(1.5, dtype=torch.float32)" ] }, { "cell_type": "code", "execution_count": 3, "id": "ea49d25d", "metadata": {}, "outputs": [], "source": [ "N_planes = 10\n", "N_lenses = 2 # per plane\n", "\n", "z_plane = np.linspace(0.1, 1.0, N_planes)\n", "planes = []\n", "\n", "for p, z_p in enumerate(z_plane):\n", " lenses = []\n", " \n", " for _ in range(N_lenses):\n", " lenses.append(\n", " caustic.PseudoJaffe(\n", " cosmology = cosmology, \n", " z_l = z_p,\n", " x0 = torch.tensor(np.random.uniform(-fov/3., fov/3.)),\n", " y0 = torch.tensor(np.random.uniform(-fov/3., fov/3.)),\n", " mass = torch.tensor(3e10),\n", " core_radius = 0.01,\n", " scale_radius = torch.tensor(10**np.random.uniform(-0.5,0.5)),\n", " s = torch.tensor(0.001),\n", " )\n", " )\n", "\n", " planes.append(\n", " caustic.lenses.SinglePlane(z_l = z_p, cosmology = cosmology, lenses = lenses, name = f\"plane {p}\")\n", " )\n", " \n", "lens = caustic.lenses.Multiplane(name = \"multiplane\", cosmology = cosmology, lenses = planes)" ] }, { "cell_type": "markdown", "id": "4aa429c8", "metadata": {}, "source": [ "## Effective Reduced Deflection Angles" ] }, { "cell_type": "code", "execution_count": 4, "id": "f2e0a341", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Effective reduced deflection angles for the multiplane lens system\n", "ax, ay = lens.effective_reduced_deflection_angle(thx, thy, z_s)\n", "\n", "# Plot\n", "fig, axarr = plt.subplots(1,2,figsize = (12,5))\n", "im = axarr[0].imshow(ax, extent = (thx[0][0], thx[0][-1], thy[0][0], thy[-1][0]), origin = \"lower\")\n", "axarr[0].set_title(\"Deflection angle X\")\n", "plt.colorbar(im)\n", "im = axarr[1].imshow(ay, extent = (thx[0][0], thx[0][-1], thy[0][0], thy[-1][0]), origin = \"lower\")\n", "axarr[1].set_title(\"Deflection angle Y\")\n", "plt.colorbar(im)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c7ad98c6", "metadata": {}, "source": [ "## Critical Lines" ] }, { "cell_type": "code", "execution_count": 5, "id": "b2e23c3e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute critical curves using effective difflection angle\n", "A = lens.jacobian_lens_equation(thx, thy, z_s)\n", "\n", "# Here we compute detA at every point\n", "detA = torch.linalg.det(A)\n", "\n", "# Plot the critical line\n", "im = plt.imshow(detA, extent = (thx[0][0], thx[0][-1], thy[0][0], thy[-1][0]), origin = \"lower\")\n", "plt.colorbar(im)\n", "CS = plt.contour(thx, thy, detA, levels = [0.], colors = \"b\")\n", "plt.title(\"Critical curves\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "7cd1f948", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# For completeness, here are the caustics!\n", "paths = CS.collections[0].get_paths()\n", "caustic_paths = []\n", "for path in paths:\n", " # Collect the path into a descrete set of points\n", " vertices = path.interpolated(5).vertices\n", " x1 = torch.tensor(list(float(vs[0]) for vs in vertices))\n", " x2 = torch.tensor(list(float(vs[1]) for vs in vertices))\n", " # raytrace the points to the source plane\n", " y1,y2 = lens.raytrace(x1, x2, z_s)\n", "\n", " # Plot the caustic\n", " plt.plot(y1,y2, color = \"k\", linewidth = 0.5)\n", "plt.gca().axis(\"off\")\n", "plt.title(\"Caustics\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "94144e25", "metadata": {}, "source": [ "## Effective Convergence" ] }, { "cell_type": "code", "execution_count": 7, "id": "d8a84fde", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "C = lens.effective_convergence_div(thx, thy, z_s)\n", "\n", "plt.imshow(C.detach().cpu().numpy(), origin = \"lower\")\n", "plt.colorbar()\n", "plt.title(\"Effective Convergence\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "708338df", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Curl = lens.effective_convergence_curl(thx, thy, z_s)\n", "\n", "plt.imshow(Curl.detach().cpu().numpy(), origin = \"lower\")\n", "plt.colorbar()\n", "plt.title(\"Curl\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "00e9c94a", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "PY39", "language": "python", "name": "py39" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 5 }