{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Optical depth SIE model validation\n", "\n", "* This notebook shows example how to use the `OpticalDepth` class to create an optical depth distribution for a 'SIE' model and make comparison with various models.\n", "\n", "* You can change model or model parameters and compare the results." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pycbc\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from astropy.cosmology import LambdaCDM\n", "cosmo = LambdaCDM(H0=70, Om0=0.3, Ode0=0.7)\n", "from ler.lens_galaxy_population import OpticalDepth" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z_to_Dc interpolator will be loaded from ./interpolator_pickle/z_to_Dc/z_to_Dc_1.pickle\n", "Dc_to_z interpolator will be loaded from ./interpolator_pickle/Dc_to_z/Dc_to_z_1.pickle\n", "angular_diameter_distance interpolator will be loaded from ./interpolator_pickle/angular_diameter_distance/angular_diameter_distance_1.pickle\n", "differential_comoving_volume interpolator will be loaded from ./interpolator_pickle/differential_comoving_volume/differential_comoving_volume_1.pickle\n", "velocity_dispersion_bernardi interpolator will be loaded from ./interpolator_pickle/velocity_dispersion_bernardi/velocity_dispersion_bernardi_0.pickle\n", "optical_depth_SIE_hemanta interpolator will be loaded from ./interpolator_pickle/optical_depth_SIE_hemanta/optical_depth_SIE_hemanta_0.pickle\n" ] } ], "source": [ "od = OpticalDepth()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Let's look at the available functions and priors" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'optical_depth_SIS_haris': None,\n", " 'optical_depth_SIS_hemanta': None,\n", " 'optical_depth_SIE_hemanta': None}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "od.available_optical_depth_list_and_its_params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Choice 1\n", "\n", "* optical_depth_SIS_haris (analytical)\n", "\n", "* velocity_dispersion_gengamma\n", "\n", "* axis_ratio_rayleigh\n", "\n", "* cosmo = LambdaCDM(H0=70, Om0=0.3, Ode0=0.7)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z_to_Dc interpolator will be loaded from ./interpolator_pickle/z_to_Dc/z_to_Dc_1.pickle\n", "Dc_to_z interpolator will be loaded from ./interpolator_pickle/Dc_to_z/Dc_to_z_1.pickle\n", "angular_diameter_distance interpolator will be loaded from ./interpolator_pickle/angular_diameter_distance/angular_diameter_distance_1.pickle\n", "differential_comoving_volume interpolator will be loaded from ./interpolator_pickle/differential_comoving_volume/differential_comoving_volume_1.pickle\n", "velocity_dispersion_gengamma interpolator will be loaded from ./interpolator_pickle/velocity_dispersion_gengamma/velocity_dispersion_gengamma_1.pickle\n" ] } ], "source": [ "od1 = OpticalDepth(\n", " npool=4,\n", " z_min=0.001,\n", " z_max=10.0,\n", " optical_depth_function=\"optical_depth_SIS_haris\",\n", " sampler_priors=dict(\n", " velocity_dispersion=\"velocity_dispersion_gengamma\",\n", " axis_ratio=\"axis_ratio_rayleigh\",\n", " ),\n", " sampler_priors_params=dict(\n", " velocity_dispersion=dict(vd_min=0, vd_max=600),\n", " axis_ratio=dict(q_min=0.2, q_max=1),\n", " ),\n", " cosmology=cosmo,\n", " directory=\"./interpolator_pickle\",\n", " #create_new_interpolator=True,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Choice 2\n", "\n", "* optical_depth_SIS_hemanta (numerical)\n", "\n", "* velocity_dispersion_bernardi\n", "\n", "* axis_ratio_rayleigh\n", "\n", "* cosmo = LambdaCDM(H0=70, Om0=0.3, Ode0=0.7)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z_to_Dc interpolator will be loaded from ./interpolator_pickle/z_to_Dc/z_to_Dc_1.pickle\n", "Dc_to_z interpolator will be loaded from ./interpolator_pickle/Dc_to_z/Dc_to_z_1.pickle\n", "angular_diameter_distance interpolator will be loaded from ./interpolator_pickle/angular_diameter_distance/angular_diameter_distance_1.pickle\n", "differential_comoving_volume interpolator will be loaded from ./interpolator_pickle/differential_comoving_volume/differential_comoving_volume_1.pickle\n", "velocity_dispersion_bernardi interpolator will be loaded from ./interpolator_pickle/velocity_dispersion_bernardi/velocity_dispersion_bernardi_0.pickle\n", "optical_depth_SIS_hemanta interpolator will be generated at ./interpolator_pickle/optical_depth_SIS_hemanta/optical_depth_SIS_hemanta_0.pickle\n" ] } ], "source": [ "od2 = OpticalDepth(\n", " npool=4,\n", " z_min=0.001,\n", " z_max=10.0,\n", " optical_depth_function=\"optical_depth_SIS_hemanta\",\n", " sampler_priors=dict(\n", " velocity_dispersion=\"velocity_dispersion_bernardi\",\n", " axis_ratio=\"axis_ratio_rayleigh\",\n", " ),\n", " sampler_priors_params=dict(\n", " velocity_dispersion=dict(vd_min=0., vd_max=600),\n", " axis_ratio=dict(q_min=0.2, q_max=1),\n", " ),\n", " cosmology=cosmo,\n", " directory=\"./interpolator_pickle\",\n", " #create_new_interpolator=True,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Choice 3\n", "\n", "* optical_depth_SIE_hemanta (numerical)\n", "\n", "* velocity_dispersion_bernardi\n", "\n", "* axis_ratio_rayleigh\n", "\n", "* cosmo = LambdaCDM(H0=70, Om0=0.3, Ode0=0.7)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z_to_Dc interpolator will be loaded from ./interpolator_pickle/z_to_Dc/z_to_Dc_1.pickle\n", "Dc_to_z interpolator will be loaded from ./interpolator_pickle/Dc_to_z/Dc_to_z_1.pickle\n", "angular_diameter_distance interpolator will be loaded from ./interpolator_pickle/angular_diameter_distance/angular_diameter_distance_1.pickle\n", "differential_comoving_volume interpolator will be loaded from ./interpolator_pickle/differential_comoving_volume/differential_comoving_volume_1.pickle\n", "velocity_dispersion_bernardi interpolator will be loaded from ./interpolator_pickle/velocity_dispersion_bernardi/velocity_dispersion_bernardi_0.pickle\n", "optical_depth_SIE_hemanta interpolator will be loaded from ./interpolator_pickle/optical_depth_SIE_hemanta/optical_depth_SIE_hemanta_0.pickle\n" ] } ], "source": [ "od3 = OpticalDepth(\n", " npool=4,\n", " z_min=0.001,\n", " z_max=10.0,\n", " optical_depth_function=\"optical_depth_SIE_hemanta\",\n", " sampler_priors=dict(\n", " velocity_dispersion=\"velocity_dispersion_bernardi\",\n", " axis_ratio=\"axis_ratio_rayleigh\",\n", " ),\n", " sampler_priors_params=dict(\n", " velocity_dispersion=dict(vd_min=0, vd_max=600),\n", " axis_ratio=dict(q_min=0.2, q_max=1),\n", " ),\n", " cosmology=cosmo,\n", " directory=\"./interpolator_pickle\",\n", " #create_new_interpolator=True,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Choice 4\n", "\n", "* optical_depth_SIE_hemanta (numerical)\n", "\n", "* velocity_dispersion_ewoud\n", "\n", "* axis_ratio_rayleigh\n", "\n", "* cosmo = LambdaCDM(H0=70, Om0=0.3, Ode0=0.7)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z_to_Dc interpolator will be loaded from ./interpolator_pickle/z_to_Dc/z_to_Dc_1.pickle\n", "Dc_to_z interpolator will be loaded from ./interpolator_pickle/Dc_to_z/Dc_to_z_1.pickle\n", "angular_diameter_distance interpolator will be loaded from ./interpolator_pickle/angular_diameter_distance/angular_diameter_distance_1.pickle\n", "differential_comoving_volume interpolator will be loaded from ./interpolator_pickle/differential_comoving_volume/differential_comoving_volume_1.pickle\n", "velocity_dispersion_ewoud interpolator will be generated at ./interpolator_pickle/velocity_dispersion_ewoud/velocity_dispersion_ewoud_0.pickle\n", "optical_depth_SIE_hemanta interpolator will be generated at ./interpolator_pickle/optical_depth_SIE_hemanta/optical_depth_SIE_hemanta_1.pickle\n" ] } ], "source": [ "od4 = OpticalDepth(\n", " npool=2,\n", " z_min=0.001,\n", " z_max=10.0,\n", " optical_depth_function=\"optical_depth_SIE_hemanta\",\n", " sampler_priors=dict(\n", " velocity_dispersion=\"velocity_dispersion_ewoud\",\n", " axis_ratio=\"axis_ratio_rayleigh\",\n", " ),\n", " sampler_priors_params=dict(\n", " velocity_dispersion=dict(vd_min=0, vd_max=600),\n", " axis_ratio=dict(q_min=0.2, q_max=1),\n", " ),\n", " cosmology=cosmo,\n", " directory=\"./interpolator_pickle\",\n", " #create_new_interpolator=True,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Choice 4\n", "\n", "* optical_depth_SIE_hemanta (numerical)\n", "\n", "* velocity_dispersion_ewoud\n", "\n", "* axis_ratio_rayleigh\n", "\n", "* cosmo = Planck18" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z_to_Dc interpolator will be generated at ./interpolator_pickle/z_to_Dc/z_to_Dc_2.pickle\n", "Dc_to_z interpolator will be generated at ./interpolator_pickle/Dc_to_z/Dc_to_z_2.pickle\n", "angular_diameter_distance interpolator will be generated at ./interpolator_pickle/angular_diameter_distance/angular_diameter_distance_2.pickle\n", "differential_comoving_volume interpolator will be generated at ./interpolator_pickle/differential_comoving_volume/differential_comoving_volume_2.pickle\n", "velocity_dispersion_ewoud interpolator will be generated at ./interpolator_pickle/velocity_dispersion_ewoud/velocity_dispersion_ewoud_1.pickle\n", "optical_depth_SIE_hemanta interpolator will be generated at ./interpolator_pickle/optical_depth_SIE_hemanta/optical_depth_SIE_hemanta_2.pickle\n" ] } ], "source": [ "from astropy.cosmology import Planck18\n", "\n", "od5 = OpticalDepth(\n", " npool=2,\n", " z_min=0.001,\n", " z_max=10.0,\n", " optical_depth_function=\"optical_depth_SIE_hemanta\",\n", " sampler_priors=dict(\n", " velocity_dispersion=\"velocity_dispersion_ewoud\",\n", " axis_ratio=\"axis_ratio_rayleigh\",\n", " ),\n", " sampler_priors_params=dict(\n", " velocity_dispersion=dict(vd_min=0, vd_max=600),\n", " axis_ratio=dict(q_min=0.2, q_max=1),\n", " ),\n", " cosmology=Planck18,\n", " directory=\"./interpolator_pickle\",\n", " #create_new_interpolator=True,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Velocity dispersion" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot hist\n", "sigma1 = od1.sample_velocity_dispersion(size=5000,)\n", "sigma2 = od2.sample_velocity_dispersion(size=5000)\n", "sigma3 = od3.sample_velocity_dispersion(size=5000)\n", "sigma4 = od4.sample_velocity_dispersion(size=5000, zl=1)\n", "sigma5 = od4.sample_velocity_dispersion(size=5000, zl=6)\n", "sigma6 = od5.sample_velocity_dispersion(size=5000, zl=6)\n", "plt.hist(sigma1, bins=50, density=True, alpha=0.5, label=r\"$\\sigma_v$ haris\", histtype=\"step\")\n", "plt.hist(sigma2, bins=50, density=True, alpha=0.5, label=\"$\\sigma_v$ bernardi\", histtype=\"step\")\n", "plt.hist(sigma4, bins=50, density=True, alpha=0.5, label=\"$\\sigma_v$ ewoud $z_l=1$\", histtype=\"step\")\n", "plt.hist(sigma5, bins=50, density=True, alpha=0.5, label=\"$\\sigma_v$ ewoud $z_l=6$\", histtype=\"step\")\n", "plt.hist(sigma6, bins=50, density=True, alpha=0.5, label=\"$\\sigma_v$ $z_l=6$ Planck18\", histtype=\"step\")\n", "plt.xlim(0, 600)\n", "plt.xlabel(r\"$\\sigma_v$\")\n", "plt.ylabel(r\"$p(\\sigma_v)$\")\n", "plt.legend()\n", "plt.grid(alpha=0.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optical depth" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z = np.linspace(0.001, 10, 1000)\n", "# plot od.tau\n", "plt.figure(figsize=(8,4))\n", "plt.plot(z, od1.strong_lensing_optical_depth(z), label=r\"SIS $\\sigma_v$ haris LambdaCDM\")\n", "plt.plot(z, od2.strong_lensing_optical_depth(z), label=r\"SIS $\\sigma_v$ bernardi LambdaCDM\")\n", "plt.plot(z, od3.strong_lensing_optical_depth(z), label=r\"SIE $\\sigma_v$ bernardi LambdaCDM\")\n", "plt.plot(z, od4.strong_lensing_optical_depth(z), label=r\"SIE $\\sigma(z_l)$ ewoud LambdaCDM\")\n", "plt.plot(z, od5.strong_lensing_optical_depth(z), label=r\"SIE $\\sigma(z_l)$ ewoud planck18\")\n", "# plt.plot(z, od4.optical_depth(z), label=r\"SIE $\\sigma(z_l)$ ewoud planck18\")\n", "plt.xlabel(r\"$z$\")\n", "plt.ylabel(r\"$\\tau$\")\n", "#plt.xlim(0, 2)\n", "#plt.ylim(0, 0.002)\n", "plt.legend()\n", "plt.grid(alpha=0.5)\n", "plt.title(\"optical depth\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z = np.linspace(0.001, 2, 1000)\n", "# plot od.tau\n", "plt.figure(figsize=(8,4))\n", "plt.plot(z, od1.strong_lensing_optical_depth(z), label=r\"SIS $\\sigma_v$ gengamma LambdaCDM\")\n", "plt.plot(z, od2.strong_lensing_optical_depth(z), label=r\"SIS $\\sigma_v$ bernardi LambdaCDM\")\n", "plt.plot(z, od3.strong_lensing_optical_depth(z), label=r\"SIE $\\sigma_v$ bernardi LambdaCDM\")\n", "plt.plot(z, od4.strong_lensing_optical_depth(z), label=r\"SIE $\\sigma(z_l)$ ewoud LambdaCDM\")\n", "plt.plot(z, od5.strong_lensing_optical_depth(z), label=r\"SIE $\\sigma(z_l)$ ewoud planck18\")\n", "# plt.plot(z, od4.optical_depth(z), label=r\"SIE $\\sigma(z_l)$ ewoud planck18\")\n", "plt.xlabel(r\"$z$\")\n", "plt.ylabel(r\"$\\tau$\")\n", "#plt.xlim(0, 2)\n", "#plt.ylim(0, 0.002)\n", "plt.legend()\n", "plt.grid(alpha=0.5)\n", "plt.title(\"optical depth\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Distribution of velocity dispersion wrt redshift\n", "\n", "* reproduction of Oguri et al. (2018b) Fig. 1 with Ewoud's (code) velocity dispersion model Wempe et al. (2022)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from ler.lens_galaxy_population import pdf_phi_z_div_0, phi_loc_bernardi, phi\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# combining sigma and q in a function\n", "nsamples_z = 100\n", "nsamples_sigma = 100\n", "z = np.ones(nsamples_sigma)\n", "sigma = np.linspace(50, 400, nsamples_sigma)\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "num1 = pdf_phi_z_div_0(sigma, z*1.0)\n", "num2 = pdf_phi_z_div_0(sigma, z*2.0)\n", "num3 = pdf_phi_z_div_0(sigma, z*3.0)\n", "num4 = pdf_phi_z_div_0(sigma, z*4.0)\n", "num5 = pdf_phi_z_div_0(sigma, z*5.0)\n", "num6 = pdf_phi_z_div_0(sigma, z*6.0)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(sigma, num1, label='z=1')\n", "plt.plot(sigma, num2, label='z=2')\n", "plt.plot(sigma, num3, label='z=3')\n", "plt.plot(sigma, num4, label='z=4')\n", "plt.plot(sigma, num5, label='z=5')\n", "plt.plot(sigma, num6, label='z=6')\n", "plt.xlabel('sigma')\n", "plt.ylabel(r'$\\frac{\\phi(\\sigma,z)}{\\phi(\\sigma,z=0)}$')\n", "plt.yscale('log')\n", "plt.ylim(1e-1,0.5e1)\n", "plt.grid(alpha=0.5)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "ler", "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 2 }