{ "cells": [ { "cell_type": "markdown", "id": "e4054d16", "metadata": {}, "source": [ "# A Menagerie of Lenses\n", "\n", "Here we have a quick visual demo of every type of lens in caustic. This is a good way to pick out what you need and quickly copy paste. For all of these lenses we have placed a Sersic source with the same parameters as the background, that way you can visualize the differences between them." ] }, { "cell_type": "code", "execution_count": 1, "id": "beeb58fa", "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", "from time import process_time as time\n", "\n", "import caustic" ] }, { "cell_type": "code", "execution_count": 2, "id": "72cbde6d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cosmology = caustic.FlatLambdaCDM(name = \"cosmo\")\n", "cosmology.to(dtype=torch.float32)\n", "z_s = torch.tensor(1.)\n", "base_sersic = caustic.sources.Sersic(\n", " name = \"sersic\",\n", " x0 = torch.tensor(0.1),\n", " y0 = torch.tensor(0.1),\n", " q = torch.tensor(0.6),\n", " phi = torch.tensor(np.pi/3),\n", " n = torch.tensor(2.),\n", " Re = torch.tensor(1.),\n", " Ie = torch.tensor(1.),\n", ")\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_l = torch.tensor(0.5, dtype=torch.float32)\n", "\n", "class Zoo_Sim(caustic.Simulator):\n", " def __init__(\n", " self,\n", " lens,\n", " name: str = \"sim\",\n", " ):\n", " super().__init__(name) # need this so `Parametrized` can do its magic\n", " \n", " # These are the lens and source objects to keep track of\n", " self.lens = lens\n", " self.src = base_sersic\n", "\n", " def forward(self, params):# define the forward model\n", " # Note this is very similar to before, except the packed up `x` is all the raytrace function needs to work\n", " bx, by = self.lens.raytrace(thx, thy, z_s, params)\n", " mu_fine = self.src.brightness(bx, by, params)\n", " \n", " # We return the sampled brightness at each pixel location\n", " return avg_pool2d(mu_fine.squeeze()[None, None], upsample_factor)[0, 0]\n", " \n", "plt.imshow(np.log10(base_sersic.brightness(thx,thy).numpy()), origin = \"lower\")\n", "plt.gca().axis(\"off\")\n", "plt.title(\"Base Sersic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "aa183e3d", "metadata": {}, "source": [ "## Point (Point)\n", "\n", "The simplest lens, an infinitely small point of mass (did someone say black holes?)." ] }, { "cell_type": "code", "execution_count": 3, "id": "4b4b2faa", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = caustic.lenses.Point(\n", " cosmology = cosmology,\n", " name = \"point\",\n", " x0 = torch.tensor(0.),\n", " y0 = torch.tensor(0.),\n", " th_ein = torch.tensor(1.),\n", ")\n", "sim = Zoo_Sim(lens)\n", "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n", "#convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n", "#axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n", "axarr[0].axis(\"off\")\n", "axarr[0].set_title(\"Point Convergence not defined\")\n", "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n", "axarr[1].axis(\"off\")\n", "axarr[1].set_title(\"Lensed Sersic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2ca96b29", "metadata": {}, "source": [ "## Singular Isothermal Sphere (SIS)\n", "\n", "An SIS is a mass distribution represented by a constant temperature velocity dispersion of masses. Alternatively, a constant temperature gas in a spherical gravitational potential." ] }, { "cell_type": "code", "execution_count": 4, "id": "6d563d58", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = caustic.lenses.SIS(\n", " cosmology = cosmology,\n", " name = \"sis\",\n", " x0 = torch.tensor(0.),\n", " y0 = torch.tensor(0.),\n", " th_ein = torch.tensor(1.),\n", ")\n", "sim = Zoo_Sim(lens)\n", "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n", "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n", "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n", "axarr[0].axis(\"off\")\n", "axarr[0].set_title(\"SIS Convergence\")\n", "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n", "axarr[1].axis(\"off\")\n", "axarr[1].set_title(\"Lensed Sersic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e09f874d", "metadata": {}, "source": [ "## Singular Isothermal Ellipsoid (SIE)\n", "\n", "The SIE is just like the SIS except it has been compressed along one axis." ] }, { "cell_type": "code", "execution_count": 5, "id": "63c78c9a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = caustic.lenses.SIE(\n", " cosmology = cosmology,\n", " name = \"sie\",\n", " x0 = torch.tensor(0.),\n", " y0 = torch.tensor(0.),\n", " q = torch.tensor(0.6),\n", " phi = torch.tensor(np.pi/2),\n", " b = torch.tensor(1.),\n", ")\n", "sim = Zoo_Sim(lens)\n", "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n", "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n", "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n", "axarr[0].axis(\"off\")\n", "axarr[0].set_title(\"SIE Convergence\")\n", "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n", "axarr[1].axis(\"off\")\n", "axarr[1].set_title(\"Lensed Sersic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "794060c3", "metadata": {}, "source": [ "## Elliptical Power Law (EPL)\n", "\n", "This is a power law mass distribution with an elliptical isodensity contour." ] }, { "cell_type": "code", "execution_count": 6, "id": "557bad9f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = caustic.lenses.EPL(\n", " cosmology = cosmology,\n", " name = \"epl\",\n", " x0 = torch.tensor(0.),\n", " y0 = torch.tensor(0.),\n", " q = torch.tensor(0.6),\n", " phi = torch.tensor(np.pi/2),\n", " b = torch.tensor(1.),\n", " t = torch.tensor(0.5),\n", ")\n", "sim = Zoo_Sim(lens)\n", "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n", "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n", "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n", "axarr[0].axis(\"off\")\n", "axarr[0].set_title(\"EPL Convergence\")\n", "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n", "axarr[1].axis(\"off\")\n", "axarr[1].set_title(\"Lensed Sersic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1aa4a0b4", "metadata": {}, "source": [ "## Navarro Frenk White profile (NFW)\n", "\n", "The NFW profile is a classic mass profile that approximates the mass distribution of halos in large dark matter simulations.\n", "\n", "$$\\rho(r) = \\frac{\\rho_0}{\\frac{r}{r_s}\\left(1 + \\frac{r}{r_s}\\right)^2}$$" ] }, { "cell_type": "code", "execution_count": 7, "id": "bb209aba", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = caustic.lenses.NFW(\n", " cosmology = cosmology,\n", " name = \"nfw\",\n", " x0 = torch.tensor(0.),\n", " y0 = torch.tensor(0.),\n", " m = torch.tensor(1e13),\n", " c = torch.tensor(20.),\n", ")\n", "sim = Zoo_Sim(lens)\n", "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n", "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n", "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n", "axarr[0].axis(\"off\")\n", "axarr[0].set_title(\"NFW Convergence\")\n", "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n", "axarr[1].axis(\"off\")\n", "axarr[1].set_title(\"Lensed Sersic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d96d3992", "metadata": {}, "source": [ "## Truncated NFW profile (TNFW)\n", "\n", "The TNFW profile is a slight modification to the classic NFW mass profile that approximates the mass distribution of halos in large dark matter simulations. The new density profile is defined as:\n", "\n", "$$\\rho_{\\rm tnfw}(r) = \\rho_{\\rm nfw}(r)\\frac{\\tau^2}{\\tau^2 + \\frac{r^2}{r_s^2}}$$\n", "\n", "where $\\tau = \\frac{r_t}{r_s}$ is the ratio of the truncation radius to the scale radius. Note that the truncation happens smoothly so there are no sharp boundaries. In the TNFW profile, the mass quantity now actually corresponds the to the total mass since it is no longer divergent. This often means the mass values are larger." ] }, { "cell_type": "code", "execution_count": 8, "id": "dd5805a5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = caustic.lenses.TNFW(\n", " cosmology = cosmology,\n", " name = \"tnfw\",\n", " x0 = torch.tensor(0.),\n", " y0 = torch.tensor(0.),\n", " mass = torch.tensor(1e12),\n", " scale_radius = torch.tensor(1.),\n", " tau = torch.tensor(3.),\n", ")\n", "sim = Zoo_Sim(lens)\n", "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n", "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n", "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n", "axarr[0].axis(\"off\")\n", "axarr[0].set_title(\"Truncated NFW Convergence\")\n", "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n", "axarr[1].axis(\"off\")\n", "axarr[1].set_title(\"Lensed Sersic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f6f19942", "metadata": {}, "source": [ "## Pseudo Jaffe (PseudoJaffe)\n", "\n", "The Pseudo Jaffe closely approximates an isothermal mass distribution except that it is easier to compute and has finite mass.\n", "\n", "$$ \\rho(r) = \\frac{\\rho_0}{\\left(1 + \\frac{r^2}{r_c^2}\\right)\\left(1 + \\frac{r^2}{r_s^2}\\right)} $$\n", "\n", "where $\\rho_0$ is the central density limit, $r_c$ is the core radius, $r_s$ is the scale radius." ] }, { "cell_type": "code", "execution_count": 9, "id": "0c8985d8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = caustic.lenses.PseudoJaffe(\n", " cosmology = cosmology,\n", " name = \"pseudojaffe\",\n", " x0 = torch.tensor(0.),\n", " y0 = torch.tensor(0.),\n", " mass = torch.tensor(1e13),\n", " core_radius = torch.tensor(5e-1),\n", " scale_radius = torch.tensor(15.)\n", ")\n", "sim = Zoo_Sim(lens)\n", "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n", "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n", "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n", "axarr[0].axis(\"off\")\n", "axarr[0].set_title(\"Pseudo Jaffe Convergence\")\n", "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n", "axarr[1].axis(\"off\")\n", "axarr[1].set_title(\"Lensed Sersic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b232c8b0", "metadata": {}, "source": [ "## External Shear (ExternalShear)\n", "\n", "It is often necessary to embed a lens in an external shear field to account for the fact that the lensing mass is not the only mass in the universe." ] }, { "cell_type": "code", "execution_count": 10, "id": "e1d7b927", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = caustic.lenses.ExternalShear(\n", " cosmology = cosmology,\n", " name = \"externalshear\",\n", " x0 = torch.tensor(0.),\n", " y0 = torch.tensor(0.),\n", " gamma_1 = torch.tensor(1.),\n", " gamma_2 = torch.tensor(-1.),\n", ")\n", "sim = Zoo_Sim(lens)\n", "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n", "#convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n", "#axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n", "axarr[0].axis(\"off\")\n", "axarr[0].set_title(\"External Shear Convergence not defined\")\n", "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n", "axarr[1].axis(\"off\")\n", "axarr[1].set_title(\"Lensed Sersic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "688d0796", "metadata": {}, "source": [ "## Mass Sheet (MassSheet)\n", "\n", "This is a simple case of an external shear field which represents an infinite constant surface density sheet." ] }, { "cell_type": "code", "execution_count": 11, "id": "cdfba784", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = caustic.lenses.MassSheet(\n", " cosmology = cosmology,\n", " name = \"masssheet\",\n", " x0 = torch.tensor(0.),\n", " y0 = torch.tensor(0.),\n", " surface_density = torch.tensor(1.5),\n", ")\n", "sim = Zoo_Sim(lens)\n", "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n", "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n", "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n", "axarr[0].axis(\"off\")\n", "axarr[0].set_title(\"Mass Sheet Convergence\")\n", "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n", "axarr[1].axis(\"off\")\n", "axarr[1].set_title(\"Lensed Sersic\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "d6c44b6c", "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 }