{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Supernova cosmology: theory, data, and simulations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Florent Leclercq,
\n",
"Institut d'Astrophysique de Paris,
\n",
"florent.leclercq@iap.fr"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"id": "Q7hbmwLTlYKY"
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from cycler import cycler\n",
"np.random.seed(123456)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"plt.rcParams.update({'lines.linewidth': 2})\n",
"plt.rcParams.update({'text.usetex': True})\n",
"plt.rcParams.update({'text.latex.preamble': r\"\\usepackage{amsmath}\\usepackage{upgreek}\"})\n",
"plt.rcParams.update({'font.family': 'serif'})\n",
"plt.rcParams.update({'font.size': 15})\n",
"dir=\"./plots/Supernova_data_simulations/\"\n",
"!mkdir -p $dir"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "D1msUScsqHyE"
},
"source": [
"## Theory"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"id": "473xZW1Sl4Sn"
},
"outputs": [],
"source": [
"def mu(z,Omega_m,h):\n",
" return 25. - 5.*np.log10(h) + 5.*np.log10(D_L(z,Omega_m))\n",
"\n",
"def D_L(z,Omega_m):\n",
" return 3000.*(1+z)*(eta(1.,Omega_m) - eta(1/(1.+z),Omega_m))\n",
"\n",
"def eta(a,Omega_m):\n",
" s=((1.-Omega_m)/Omega_m)**(1/3.)\n",
" return 2*np.sqrt(s**3+1.) * (1/a**4 - 0.1540*s/a**3 + 0.4304*s**2/a**2 + 0.19097*s**3/a + 0.066941*s**4)**(-1/8.)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"id": "Srhk70X1mK0I"
},
"outputs": [],
"source": [
"zs=np.linspace(1e-3,2,100)\n",
"h=0.7\n",
"mus={}\n",
"for Omega_m in [0.2,0.3,0.4,0.5]:\n",
" mus[Omega_m]=mu(zs,Omega_m,h)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 516
},
"id": "TYUTBOgGnNKs",
"outputId": "bbcb7e6c-ce5d-46e8-8027-1cf16ea839ac"
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8,6))\n",
"\n",
"ax.set_prop_cycle(cycler('color', plt.cm.viridis(np.linspace(0.1, 0.9, 4))))\n",
"for Omega_m in [0.2,0.3,0.4,0.5]:\n",
" ax.plot(zs,mus[Omega_m],label=\"theory, $\\Omega_\\mathrm{m}=$\"+str(Omega_m))\n",
"\n",
"ax.set_xlabel(\"redshift $z$\")\n",
"ax.set_ylabel(\"distance modulus $\\mu$\")\n",
"ax.legend(loc=\"lower right\")\n",
"plt.savefig(dir+'Supernova_theory.pdf',dpi=300,bbox_inches=\"tight\",transparent=True)\n",
"plt.savefig(dir+'Supernova_theory.png',dpi=300,bbox_inches=\"tight\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "-hPOjedPqOLq"
},
"source": [
"## Data"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"id": "esNmK99UliVj"
},
"outputs": [],
"source": [
"data = np.loadtxt(\"data/jla_mub.txt\",unpack=True)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 516
},
"id": "QL9MBBVGnbAB",
"outputId": "8caae7c0-b3ea-4d8c-f299-fccddec5928a"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax0, ax1) = plt.subplots(2, 1, figsize=(8,8), sharex=True, height_ratios=(1, 0.5))\n",
"fig.subplots_adjust(hspace=0.)\n",
"\n",
"ax0.set_prop_cycle(cycler('color', plt.cm.viridis(np.linspace(0.1, 0.9, 4))))\n",
"for Omega_m in [0.2,0.3,0.4,0.5]:\n",
" ax0.plot(zs,mus[Omega_m],label=\"theory, $\\Omega_\\mathrm{m}=$\"+str(Omega_m))\n",
"ax0.plot(data[0],data[1],ls=\"\",marker=\"o\",ms=4,color=\"black\",label=\"data\")\n",
"\n",
"ax0.set_ylabel(\"distance modulus $\\mu$\")\n",
"ax0.legend(loc=\"lower right\")\n",
"\n",
"ax1.set_prop_cycle(cycler('color', plt.cm.viridis(np.linspace(0.1, 0.9, 4))))\n",
"for Omega_m in [0.2,0.3,0.4,0.5]:\n",
" ax1.plot(zs,mus[Omega_m]/mus[0.3],label=\"theory, $\\Omega_\\mathrm{m}=$\"+str(Omega_m))\n",
"ax1.plot(data[0],data[1]/mu(data[0],Omega_m=0.3,h=0.7),ls=\"\",marker=\"o\",ms=4,color=\"black\",label=\"data\")\n",
"ax1.set_xlabel(\"redshift $z$\")\n",
"ax1.set_ylabel(\"distance modulus $\\mu$ (scaled)\")\n",
"ax1.tick_params(axis='x', which='both', bottom=True, top=True)\n",
"\n",
"plt.savefig(dir+'Supernova_theory_and_data.pdf',dpi=300,bbox_inches=\"tight\",transparent=True)\n",
"plt.savefig(dir+'Supernova_theory_and_data.png',dpi=300,bbox_inches=\"tight\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "SjyS_dExqW1s"
},
"source": [
"## Simulated data"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"id": "YaQDQb02qZc0"
},
"outputs": [],
"source": [
"nsim=20\n",
"zs_sim = np.random.uniform(0.,2.,nsim)\n",
"h=0.7\n",
"Omega_m=0.3\n",
"mus_sim = mu(zs_sim,Omega_m,h)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"id": "guAVd1hlqjCW"
},
"outputs": [],
"source": [
"sigma=0.1\n",
"errrors_sim = np.random.normal(0.,sigma,nsim)\n",
"mus_sim += errrors_sim"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"id": "C0zhQdMgsDJb"
},
"outputs": [],
"source": [
"Omega_m=0.3\n",
"mus_h={}\n",
"for h in [0.6,0.7,0.8]:\n",
" mus_h[h] = mu(zs, Omega_m, h)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 516
},
"id": "XpXtlhikrLmO",
"outputId": "24f3bc8b-14f3-4f54-e2da-29404ae4e6e4"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax0, ax1) = plt.subplots(2, 1, figsize=(8,8), sharex=True, height_ratios=(1, 0.5))\n",
"fig.subplots_adjust(hspace=0.)\n",
"\n",
"ax0.set_prop_cycle(cycler('color', plt.cm.plasma(np.linspace(0.3, 0.7, 3))))\n",
"for h in [0.6,0.7,0.8]:\n",
" ax0.plot(zs,mus_h[h],label=\"theory, $h=$\"+str(h))\n",
"ax0.errorbar(zs_sim,mus_sim,2*sigma,ls=\"\",lw=3,marker=\"o\",ms=4,color=\"black\",label=\"simulated data\")\n",
"ax0.set_ylabel(\"distance modulus $\\mu$\")\n",
"ax0.legend(loc=\"lower right\")\n",
"\n",
"ax1.set_prop_cycle(cycler('color', plt.cm.plasma(np.linspace(0.3, 0.7, 3))))\n",
"for h in [0.6,0.7,0.8]:\n",
" ax1.plot(zs,mus_h[h]/mus_h[0.7],label=\"theory, $h=$\"+str(h))\n",
"ax1.errorbar(zs_sim,mus_sim/mu(zs_sim,Omega_m,0.7),2*sigma/mu(zs_sim,Omega_m,0.7),ls=\"\",lw=3,marker=\"o\",ms=4,color=\"black\",label=\"simulated data\")\n",
"ax1.set_xlabel(\"redshift $z$\")\n",
"ax1.set_ylabel(\"distance modulus $\\mu$ (scaled)\")\n",
"ax1.tick_params(axis='x', which='both', bottom=True, top=True)\n",
"\n",
"plt.savefig(dir+'Supernova_simulated_data.pdf',dpi=300,bbox_inches=\"tight\",transparent=True)\n",
"plt.savefig(dir+'Supernova_simulated_data.png',dpi=300,bbox_inches=\"tight\")\n",
"plt.show()"
]
}
],
"metadata": {
"colab": {
"collapsed_sections": [],
"name": "Pre-school_exercise.ipynb",
"provenance": []
},
"kernelspec": {
"display_name": "base",
"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": "3.10.13"
}
},
"nbformat": 4,
"nbformat_minor": 4
}