{ "cells": [ { "cell_type": "markdown", "id": "e7d996ee-25b8-467c-b755-6b8d5d7ed2e6", "metadata": {}, "source": [ "# Some examples of lenstool usage on Jupyter Notebook\n", "\n", "## The SIS model (Singular Isothermal Sphere)\n", "In this notebook we will showcase lensing modelling with Lenstool using the SIS model." ] }, { "cell_type": "code", "execution_count": 1, "id": "2ec98e29-83d0-4169-86e0-33f6dcdf7cdf", "metadata": { "tags": [] }, "outputs": [], "source": [ "from astropy.io import fits\n", "import matplotlib.pyplot as plt\n", "from astropy.wcs import WCS\n", "from astropy.table import Table\n", "from matplotlib.patches import Ellipse\n", "from matplotlib.patches import Circle\n", "import os\n", "import matplotlib.cm as cm\n", "from matplotlib.colors import Normalize\n", "import numpy\n", "import lenstool\n", "from lenstool.potentials import sis" ] }, { "cell_type": "code", "execution_count": 2, "id": "a261dee0", "metadata": { "tags": [] }, "outputs": [], "source": [ "lt = lenstool.Lenstool()\n", "lt.add_lens(sis(0.,0.,0.3,800))\n", "lt.set_cosmology(70, 0.3, 0.7, -1)\n", "lt.set_field(50)\n", "lt.set_grid(1000, 1)" ] }, { "cell_type": "markdown", "id": "7868fad7-52ca-45a3-ac4e-e0481d1f2edd", "metadata": { "tags": [] }, "source": [ "## The inputs\n", "\n", "We will first define the lens model. In this example, the lens is a single SIS potential. It is centered at (0,0) and has a redshift of 0.3.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "0880def5-0182-482d-a3ad-763269e1e3f1", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
Table length=1\n", "\n", "\n", "\n", "\n", "
typenxyz
int64str1float64float64float64
110.00.00.3
" ], "text/plain": [ "\n", " type n x y z \n", "int64 str1 float64 float64 float64\n", "----- ---- ------- ------- -------\n", " 1 1 0.0 0.0 0.3" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lt.get_lenses()" ] }, { "cell_type": "markdown", "id": "c70fc0a2-d357-4b60-a078-90950fa24603", "metadata": {}, "source": [ "## The source definition\n", "The source properties are coordinates in arcsec, size, redshift, orientation angle and magnitude (brightness).\n", "These parameters must be given directly in the code .\n", "Here we study a circular source of redshift 1 and magnitude 20. " ] }, { "cell_type": "code", "execution_count": 4, "id": "761a9d04-506b-4daa-90a7-b6d71f3a9813", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
Table length=1\n", "
\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a0.6789067-9.73.53.50.01.020.0
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64\n", "---- --------- ------- ------- ------- ------- ------- -------\n", " 1a 0.6789067 -9.7 3.5 3.5 0.0 1.0 20.0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tab = Table(names=['n','x','y','a','b','theta','z','mag'], dtype=['str',*['float',]*7])\n", "tab.add_row(['1a', 0.6789067, -9.7, 3.5, 3.5, 0, 1.0, 20])\n", "lt.set_sources(tab)\n", "lt.get_sources()" ] }, { "cell_type": "code", "execution_count": 5, "id": "68b2638d-98e9-4509-8746-2ec008e0ebbc", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mass, wcs = lt.g_mass(3, 100, 0.3, 1.0)\n", "\n", "fig = plt.figure()\n", "ax = fig.add_axes([0.15, 0.1, 0.8, 0.8], projection=wcs)\n", "plt.imshow(mass)\n", "plt.colorbar()\n", "\n", "for row in lt.get_sources(): \n", " ellipse = Ellipse((row['x']/3600.,row['y']/3600.), #conversion from arcsecs to degrees\n", " width=row['b']/3600, \n", " height=row['a']/3600,\n", " edgecolor='pink',\n", " facecolor='none',\n", " angle =row['theta']+90,\n", " transform=plt.gca().get_transform('world')\n", " )\n", " \n", " ax.add_patch(ellipse)" ] }, { "cell_type": "markdown", "id": "1415c18c-2d06-4664-85b6-74de81c5cf23", "metadata": {}, "source": [ "Here we have displayed the source in pink and the cluster of galaxies that acts as a lens in yellow.\n", "The colorbar indicates the mass repartition of the cluster in $10^{12}$ Msun/pixel." ] }, { "cell_type": "markdown", "id": "368dd590-3255-4880-aed8-d39ebe3334d5", "metadata": { "tags": [] }, "source": [ "## Modelling gravitational lensing\n", "Using the data from the above source, one or more images can be created corresponding to the gravitational lensing under study." ] }, { "cell_type": "code", "execution_count": 6, "id": "e8e1174c-fc31-4b84-a6b1-0acae72441f2", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compute multiple images for source 0...images found 3, not found 0\r" ] }, { "data": { "text/html": [ "
Table length=3\n", "
\n", "\n", "\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a-0.14390360326579532.05601541885424633.50000000090298750.7418610444825656274.00368830334751.021.684363693981073
1a-0.143874546747260222.0570522711839443.5000000009029910.7423114188365738274.000871431127341.021.683704757410105
1a1.5017408667543064-21.456058589386717.7418443548071533.5000000009029857184.00368602289061.019.13805902100179
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64 \n", "---- -------------------- ------------------ ------------------ ------------------ ------------------ ------- ------------------\n", " 1a -0.1439036032657953 2.0560154188542463 3.5000000009029875 0.7418610444825656 274.0036883033475 1.0 21.684363693981073\n", " 1a -0.14387454674726022 2.057052271183944 3.500000000902991 0.7423114188365738 274.00087143112734 1.0 21.683704757410105\n", " 1a 1.5017408667543064 -21.45605858938671 7.741844354807153 3.5000000009029857 184.0036860228906 1.0 19.13805902100179" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lt.e_lensing()\n", "lt.get_images()" ] }, { "cell_type": "code", "execution_count": 7, "id": "7a46324b-9e47-46e9-a62e-e53e1d3fb808", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/mm/6xbl_6k14pn5zn23cltp9rzc0000gn/T/ipykernel_24111/310927048.py:27: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n", " colorbar = plt.colorbar(cmap)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_images():\n", " fig = plt.figure()\n", " ax = fig.add_axes([0.15, 0.1, 0.8, 0.8], projection=wcs)\n", " plt.imshow(mass)\n", "\n", " norm = Normalize(min(lt.get_images()['mag']), max(lt.get_images()['mag']))\n", " for row in lt.get_images(): \n", " ellipse = Ellipse((row['x']/3600.,row['y']/3600.),\n", " width=row['b']/3600,\n", " height=row['a']/3600,\n", " facecolor = 'none',\n", " angle =row['theta'] + 90,\n", " transform=plt.gca().get_transform('world')\n", " )\n", " # Assign color to the ellipse based on the magnification\n", "\n", " color = cm.ScalarMappable(norm=norm, cmap = 'Wistia').to_rgba(row['mag'])\n", " ellipse.set_edgecolor(color)\n", "\n", " ax.add_patch(ellipse)\n", "\n", " # Creating a ScalarMappable object for colorbar\n", " cmap = cm.ScalarMappable(norm=norm, cmap = 'Wistia')\n", " cmap.set_array(tab['mag'])\n", "\n", " # Adding the colorbar\n", " colorbar = plt.colorbar(cmap)\n", " colorbar.set_label('Magnitude')\n", " plt.colorbar()\n", " plt.show()\n", "plot_images()" ] }, { "cell_type": "markdown", "id": "3f292095-6882-4a17-bf7c-09a36b7e7562", "metadata": {}, "source": [ "As we can see, three images are displayed whereas in the SIS model only two images should appear. This happens because due to numerical resolution limits, Lenstool finds two radial images, whereas only one should exist in theory. Note that depending on the grid.number, and grid.polar parameters, this third image is not always detected." ] }, { "cell_type": "markdown", "id": "de9995ed-ffd0-4ab8-b3a8-6ef4391aafc4", "metadata": {}, "source": [ "### With another source" ] }, { "cell_type": "code", "execution_count": 8, "id": "9c7c9a90-ddaa-46a0-84c0-4ad8be109ba5", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
Table length=1\n", "
\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a10.678906710.73.53.50.01.020.0
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64\n", "---- ---------- ------- ------- ------- ------- ------- -------\n", " 1a 10.6789067 10.7 3.5 3.5 0.0 1.0 20.0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tab = Table(\n", " rows=[('1a', 10.6789067, 10.7, 3.5, 3.5, 0, 1.0, 20)],\n", " names=['n','x','y','a','b','theta','z','mag'], \n", " dtype=['str',*['float',]*7]\n", ")\n", "lt.set_sources(tab)\n", "lt.get_sources()" ] }, { "cell_type": "code", "execution_count": 9, "id": "5cca18a7-406b-4547-9100-a4aecdccf248", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compute multiple images for source 0...images found 1, not found 0\r" ] }, { "data": { "text/html": [ "
Table length=1\n", "
\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a19.00378015385813419.0413155912119876.2284666852306513.5000000004546004135.056528200484171.019.374217246134503
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64 \n", "---- ------------------ ------------------ ----------------- ------------------ ------------------ ------- ------------------\n", " 1a 19.003780153858134 19.041315591211987 6.228466685230651 3.5000000004546004 135.05652820048417 1.0 19.374217246134503" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lt.e_lensing()\n", "display(lt.get_images())" ] }, { "cell_type": "code", "execution_count": 10, "id": "aa541b4d-1242-44c0-8ccc-8d3423695536", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/mm/6xbl_6k14pn5zn23cltp9rzc0000gn/T/ipykernel_24111/310927048.py:27: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n", " colorbar = plt.colorbar(cmap)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_images()" ] }, { "cell_type": "code", "execution_count": 11, "id": "e4f3a585-1aae-48cd-bab5-5ac36199a733", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
Table length=1\n", "
\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a1.71.73.53.50.01.020.0
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64\n", "---- ------- ------- ------- ------- ------- ------- -------\n", " 1a 1.7 1.7 3.5 3.5 0.0 1.0 20.0" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tab = Table(\n", " rows=[('1a', 1.7, 1.7, 3.5, 3.5, 0, 1.0, 20)],\n", " names=['n','x','y','a','b','theta','z','mag'], \n", " dtype=['str',*['float',]*7]\n", ")\n", "lt.set_sources(tab)\n", "lt.get_sources()" ] }, { "cell_type": "code", "execution_count": 12, "id": "4abf75dc-0a3c-441b-b073-8b452a18bd49", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compute multiple images for source 0...images found 2, not found 0\r" ] }, { "data": { "text/html": [ "
Table length=2\n", "
\n", "\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a10.03309421074720310.03309421074720720.6563971902555323.5000000004537077134.999999991057561.018.072533671216917
1a-6.6330663752945656-6.633066375294565613.656071838619273.5000000004537037134.999999994087971.018.521855628870078
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64 \n", "---- ------------------- ------------------- ------------------ ------------------ ------------------ ------- ------------------\n", " 1a 10.033094210747203 10.033094210747207 20.656397190255532 3.5000000004537077 134.99999999105756 1.0 18.072533671216917\n", " 1a -6.6330663752945656 -6.6330663752945656 13.65607183861927 3.5000000004537037 134.99999999408797 1.0 18.521855628870078" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lt.e_lensing()\n", "display(lt.get_images())" ] }, { "cell_type": "code", "execution_count": 13, "id": "3f6198c4-50b5-450c-9f33-cdc06f70ddd1", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/mm/6xbl_6k14pn5zn23cltp9rzc0000gn/T/ipykernel_24111/310927048.py:27: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n", " colorbar = plt.colorbar(cmap)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_images()" ] }, { "cell_type": "markdown", "id": "7e773a81-fe5d-47c6-a351-178d04685b73", "metadata": {}, "source": [ "By moving the source closer to the lens, the flux can be amplified.\n", "The second colorbar represents the magnitude values of the obtained images. " ] }, { "cell_type": "code", "execution_count": 14, "id": "a2abbc1e-c704-4d03-8a4b-3685e1efc69d", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
Table length=1\n", "
\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a0.6789067-9.75.55.50.01.520.0
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64\n", "---- --------- ------- ------- ------- ------- ------- -------\n", " 1a 0.6789067 -9.7 5.5 5.5 0.0 1.5 20.0" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tab = Table(\n", " rows=[('1a', 0.6789067, -9.7, 5.5, 5.5, 0, 1.5, 20)],\n", " names=['n','x','y','a','b','theta','z','mag'], \n", " dtype=['str',*['float',]*7]\n", ")\n", "lt.set_sources(tab)\n", "lt.get_sources()" ] }, { "cell_type": "code", "execution_count": 15, "id": "d355f6cd-e80d-4f0e-9aed-b169bd4e3262", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compute multiple images for source 0...images found 2, not found 0\r" ] }, { "data": { "text/html": [ "
Table length=2\n", "
\n", "\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a-0.257077915572225373.6729549940005545.5000000013428662.082606049690601694.003723789315251.521.054388909410584
1a1.6149036200952676-23.07295753512733313.0825855622505145.500000001342866184.003670294979491.519.059172764025583
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64 \n", "---- -------------------- ------------------- ------------------ ------------------ ------------------ ------- ------------------\n", " 1a -0.25707791557222537 3.672954994000554 5.500000001342866 2.0826060496906016 94.00372378931525 1.5 21.054388909410584\n", " 1a 1.6149036200952676 -23.072957535127333 13.082585562250514 5.500000001342866 184.00367029497949 1.5 19.059172764025583" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lt.e_lensing()\n", "display(lt.get_images())" ] }, { "cell_type": "code", "execution_count": 16, "id": "a92f6e72-5018-487b-a07b-ae02112e62ec", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/mm/6xbl_6k14pn5zn23cltp9rzc0000gn/T/ipykernel_24111/310927048.py:27: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n", " colorbar = plt.colorbar(cmap)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_images()" ] }, { "cell_type": "markdown", "id": "7cafac7c-f48f-4617-affe-ad3cceaab38f", "metadata": {}, "source": [ "The image obtained for the first source studied is modelled again and the size of the source is increased; it can be seen that the size of the image is also increased. " ] }, { "cell_type": "code", "execution_count": 17, "id": "ee69d2ce-729b-482d-888a-c8d6c78cd349", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
Table length=1\n", "
\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a0.6789067-9.73.53.50.015.020.0
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64\n", "---- --------- ------- ------- ------- ------- ------- -------\n", " 1a 0.6789067 -9.7 3.5 3.5 0.0 15.0 20.0" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tab = Table(\n", " rows=[('1a', 0.6789067, -9.7, 3.5, 3.5, 0, 15.0, 20)],\n", " names=['n','x','y','a','b','theta','z','mag'], \n", " dtype=['str',*['float',]*7]\n", ")\n", "lt.set_sources(tab)\n", "lt.get_sources()" ] }, { "cell_type": "code", "execution_count": 18, "id": "aac564d9-5190-4f03-bd0e-70186ae1ba6f", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compute multiple images for source 0...images found 2, not found 0\r" ] }, { "data": { "text/html": [ "
Table length=2\n", "
\n", "\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a1.8173670426662405-25.9659586566903449.3691702226561043.50000000232949184.0036238522599215.018.93091728652996
1a-0.45955684688595136.5659714890671923.500000002329492.369165693006243274.003641874285815.020.423681522252945
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64 \n", "---- ------------------- ------------------- ----------------- ----------------- ------------------ ------- ------------------\n", " 1a 1.8173670426662405 -25.965958656690344 9.369170222656104 3.50000000232949 184.00362385225992 15.0 18.93091728652996\n", " 1a -0.4595568468859513 6.565971489067192 3.50000000232949 2.369165693006243 274.0036418742858 15.0 20.423681522252945" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lt.e_lensing()\n", "display(lt.get_images())" ] }, { "cell_type": "code", "execution_count": 19, "id": "2475403e-f1b8-44a0-b2d5-56ff1bbec8be", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/mm/6xbl_6k14pn5zn23cltp9rzc0000gn/T/ipykernel_24111/310927048.py:27: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n", " colorbar = plt.colorbar(cmap)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_images()" ] }, { "cell_type": "markdown", "id": "01b71fb7-b19f-4f6a-89ca-48ba0fee378d", "metadata": {}, "source": [ "When the redshift is increased, the distance between the images is also increased. " ] }, { "cell_type": "code", "execution_count": 20, "id": "ff7599c5-5c19-4fbb-be58-74330f6df5ef", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
Table length=1\n", "
\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a0.37890670.43.53.50.01.020.0
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64\n", "---- --------- ------- ------- ------- ------- ------- -------\n", " 1a 0.3789067 0.4 3.5 3.5 0.0 1.0 20.0" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tab = Table(\n", " rows=[('1a', 0.3789067, 0.4, 3.5, 3.5, 0, 1.0, 20)],\n", " names=['n','x','y','a','b','theta','z','mag'], \n", " dtype=['str',*['float',]*7]\n", ")\n", "lt.set_sources(tab)\n", "lt.get_sources()" ] }, { "cell_type": "code", "execution_count": 21, "id": "a041946f-41e7-48d4-92ed-70cf0fceab41", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compute multiple images for source 0...images found 2, not found 0\r" ] }, { "data": { "text/html": [ "
Table length=2\n", "
\n", "\n", "\n", "\n", "\n", "
nxyabthetazmag
str2float64float64float64float64float64float64float64
1a8.4833511082697288.95570456524232778.355335371541473.500000000478264136.551531479059781.016.62499867624839
1a-7.725506849912627-8.15564769484577471.359617840326423.500000000478264136.55147605441161.016.726538821848983
" ], "text/plain": [ "\n", " n x y a b theta z mag \n", "str2 float64 float64 float64 float64 float64 float64 float64 \n", "---- ------------------ ------------------ ----------------- ----------------- ------------------ ------- ------------------\n", " 1a 8.483351108269728 8.955704565242327 78.35533537154147 3.500000000478264 136.55153147905978 1.0 16.62499867624839\n", " 1a -7.725506849912627 -8.155647694845774 71.35961784032642 3.500000000478264 136.5514760544116 1.0 16.726538821848983" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lt.e_lensing()\n", "display(lt.get_images())" ] }, { "cell_type": "code", "execution_count": 22, "id": "7889b5f7-cd7e-4bb7-af2e-908671e3e069", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/mm/6xbl_6k14pn5zn23cltp9rzc0000gn/T/ipykernel_24111/310927048.py:27: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n", " colorbar = plt.colorbar(cmap)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_images()" ] }, { "cell_type": "markdown", "id": "e0c55ebf-2b87-4491-bc67-6c1d778b3364", "metadata": {}, "source": [ "By moving the source closer to the lens again, the images appear streched." ] }, { "cell_type": "markdown", "id": "18652e45-5d3a-44da-becf-acf67bfe3ac9", "metadata": {}, "source": [ "## Modelling of the Einstein ring\n", "Now that we have seen the impact of each parameter on the resulting image, we want to model the Einstein ring.\n", "To do so we can model the brightness map with lenstool." ] }, { "cell_type": "code", "execution_count": 23, "id": "63edf362-02a7-4215-aeb8-ee856b4dadc6", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "image (100,100) s=1.010 [-50.000,50.000] [-50.000,50.000]\n", "\n", "source (40,40) s=(1.026,1.026) [-20.000,20.000] [-20.000,20.000]\n", "\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Source plane')" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pix, wcs = lt.e_pixel_image(100)\n", "source, swcs = lt.e_pixel_source(100)\n", "fig = plt.figure(figsize=(10,5))\n", "ax = fig.add_axes([0.15, 0.1, 0.5, 0.5], projection=wcs)\n", "\n", "plt.imshow(pix)\n", "\n", "ax.autoscale_view()\n", "ax.set_title('Image plane')\n", "\n", "ax = fig.add_axes([0.55, 0.1, 0.5, 0.5], projection=swcs)\n", "\n", "plt.imshow(source)\n", "ax.autoscale_view()\n", "ax.set_title('Source plane')" ] }, { "cell_type": "markdown", "id": "4c43b61f-fef4-4778-9793-716adbfd1786", "metadata": {}, "source": [ "## The convergence map\n", "\n", "Lenstool can also compute the convergence map of the lens.\n" ] }, { "cell_type": "code", "execution_count": 24, "id": "38a003c8-4c7e-4caa-b8f5-6932ba8abd62", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "conv, wcs = lt.g_mass(1, 100, 0.3, 1.0)\n", "\n", "fig = plt.figure()\n", "ax = fig.add_axes([0.15, 0.1, 0.8, 0.8], projection=wcs)\n", "\n", "s = abs(conv - 1/2) < 0.02\n", "conv[s] = 10\n", "plt.imshow(conv)\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "id": "78004b88-333c-4531-a200-902f9d610829", "metadata": {}, "source": [ "Here, the yellow circle is the critical line for our SIS model (when the convergence = 1/2)." ] }, { "cell_type": "markdown", "id": "40805fe1-7bba-453d-ba49-ba271245c8e2", "metadata": {}, "source": [ "## Calculation of the Einstein ring\n", "We start by using the lensing equations to obtain the radius of the ring created by gravitational lensing.
\n", "$$\\theta_{E} = \\frac{4 \\pi\\sigma_{v}^{2}}{c^{2}}\\frac{D_{LS}}{D_{S}} $$" ] }, { "cell_type": "markdown", "id": "5c08af37-3965-4521-a6c5-8a08f2bd5a2d", "metadata": {}, "source": [ "We can calculate the distances to the source and to the lens with the redshift data." ] }, { "cell_type": "code", "execution_count": 25, "id": "67a325b0-15d6-41b8-892c-fd76827c94b5", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the radius value is: 5.713423457351444e-05\n" ] } ], "source": [ "from math import pi\n", "import astropy.constants as const\n", "import astropy.units as u\n", "from astropy.cosmology import FlatLambdaCDM\n", "\n", "cosmo= FlatLambdaCDM(70,0.3) # definition of the universe (H0, z_lens)\n", "dol=cosmo.angular_diameter_distance(0.3) # distance between the observer and the lens\n", "dos=cosmo.angular_diameter_distance(1) # distance between the observer and the source\n", "dls=cosmo.angular_diameter_distance_z1z2(0.3,1) # distance between the lens and the source\n", "sigma = 800 * u.km /u.s\n", "theta = (4*pi*sigma**2*dls)/(dos*const.c**2)\n", "theta = theta.to('m2/m2').value\n", "print(\"the radius value is:\",theta) " ] }, { "cell_type": "markdown", "id": "bf7c412a-f7e8-409e-8b12-eefcc49a15f1", "metadata": {}, "source": [ "Now that we have the radius we can display the ring.
\n", "To observe the match with the magnification map, it is also possible to directly display the ring on it. " ] }, { "cell_type": "code", "execution_count": 26, "id": "3537a6f2-567d-4e50-86f1-2bf371a4046a", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Magnification map')" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ampli, wcs = lt.g_ampli(1, 100, 1.0)\n", "\n", "fig = plt.figure()\n", "ax = fig.add_axes([0.15, 0.1, 0.8, 0.8], projection=wcs)\n", "\n", "plt.imshow(ampli)\n", "plt.clim((-1,2))\n", "plt.colorbar()\n", "\n", "c = Circle((0,0),\n", " numpy.degrees(theta),\n", " edgecolor='pink',\n", " facecolor='none',\n", " linewidth=4,\n", " transform=ax.get_transform('world')\n", " )\n", " \n", " \n", "ax.add_patch(c)\n", "ax.set_title('Magnification map')" ] }, { "cell_type": "markdown", "id": "08fc998e-6756-4ecb-a3cb-2d4b74798e2e", "metadata": {}, "source": [ "Here the Eistein ring is pink and the colorbar indicates the magnification factor." ] }, { "cell_type": "markdown", "id": "46c7c574-fbea-4ef7-9ad2-615e4e659258", "metadata": { "tags": [] }, "source": [ "## Display of critical lines\n", "Another method to represent the critical lines is to use the data calculated by Lenstool, we can then also represent the caustic lines." ] }, { "cell_type": "code", "execution_count": 27, "id": "daed9191-8d97-4d9a-ba67-1dd319202e1b", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "image (100,100) s=1.010 [-50.000,50.000] [-50.000,50.000]\n", "\n", "source (40,40) s=(1.026,1.026) [-20.000,20.000] [-20.000,20.000]\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "COMP1: critic and caustic lines for source plane at z=1.000\n", "limitHigh(in arcsec)=10.000 limitLow(in arcsec)=1.000\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Source plane')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from lenstool import pcl\n", "\n", "# Compute image plane and source plane surface brightness maps\n", "pix, wcs = lt.e_pixel_image(100)\n", "source, swcs = lt.e_pixel_source(100)\n", "\n", "# Compute critical and caustic external lines\n", "tangent, radial = lt.criticnew(1.0)\n", "critic_int, caustic_int = pcl.parse_cline(radial)\n", "\n", "fig = plt.figure(figsize=(10,5))\n", "\n", "ax = fig.add_axes([0.15, 0.1, 0.5, 0.5], projection=wcs)\n", "plt.imshow(pix)\n", "critic_int.set_transform(ax.get_transform('world'))\n", "ax.add_collection(critic_int)\n", "ax.autoscale_view()\n", "ax.set_title('Image plane')\n", "\n", "ax = fig.add_axes([0.55, 0.1, 0.5, 0.5], projection=swcs)\n", "plt.imshow(source)\n", "caustic_int.set_transform(ax.get_transform('world'))\n", "ax.add_collection(caustic_int)\n", "ax.autoscale_view()\n", "ax.set_title('Source plane')" ] }, { "cell_type": "markdown", "id": "6eca6a0d-bf52-4129-9458-c478ec588447", "metadata": {}, "source": [ "Here we display the external critical and caustic lines of the lens.
\n", "In the image plane, the critical line is a circle (as we calculated) superposed to the Einstein ring whereas the caustic line in the source plane is a point centered on the source.
\n", "If we were to model the internal lines, it would be the opposite, meaning that the internal critical line would be a point in the image plane and the caustic line a circle in the source plane. However, this point in the image plane is infinitely small, and Lenstool cannot find it, hence it cannot compute the associated caustic line." ] } ], "metadata": { "kernelspec": { "display_name": "lt_test", "language": "python", "name": "lt_test" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.11" } }, "nbformat": 4, "nbformat_minor": 5 }