{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2. Hybrid Thermal plus Power-Law Gyrosynchrotron Model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.1. Notebook setup"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.2. Download data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Unzip the contents into a folder named data in the same level as the notebooks folder. The directory structure should end up looking like the following: \n",
"```\n",
"thermal-gs\n",
"├── data\n",
"│ ├── thermal-gs.mplstyle\n",
"│ ├── thermal-power.txt\n",
"│ ├── ...\n",
"├── figures\n",
"│ ├── thermal-power-gs.pdf\n",
"│ ├── thermal-power-gs.png\n",
"│ ├── ...\n",
"├── notebooks\n",
"│ ├── hybrid_model.ipynb\n",
"│ ├── ...\n",
".\n",
".\n",
"."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.3. Load"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"freq, I_pwr, V_pwr, I_th, V_th = np.loadtxt('../data/thermal-power.txt', unpack=True)\n",
"plt.style.use('../data/thermal-gs.mplstyle')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.4. Plot"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots(1, 2, figsize=(10, 3))\n",
"fig.subplots_adjust(hspace=0.1, wspace=0.3)\n",
"\n",
"# Stokes I \n",
"ax[0].set_xlabel('Frequency (GHz)')\n",
"ax[0].set_ylabel('Stokes I (mJy)')\n",
"ax[0].set_xlim(10, 100)\n",
"ax[0].set_ylim(0.1, 100)\n",
"\n",
"ax[0].set_xscale('log')\n",
"ax[0].set_yscale('log')\n",
"ax[0].xaxis.set_major_formatter(mpl.ticker.FormatStrFormatter('%i'))\n",
"ax[0].xaxis.set_minor_formatter(mpl.ticker.NullFormatter())\n",
"ax[0].yaxis.set_major_formatter(mpl.ticker.FormatStrFormatter('%3.3g'))\n",
"ax[0].yaxis.set_minor_formatter(mpl.ticker.NullFormatter())\n",
"ax[0].xaxis.set_major_locator(mpl.ticker.LogLocator(base=10, numticks=5, subs=[2, 4, 6, 8]))\n",
"ax[0].xaxis.set_minor_locator(mpl.ticker.LogLocator(base=10, numticks=25, subs=np.arange(10, 100, 2)))\n",
"ax[0].yaxis.set_major_locator(mpl.ticker.LogLocator(base=10, numticks=4))\n",
"ax[0].yaxis.set_minor_locator(mpl.ticker.LogLocator(base=10, numticks=40, subs=np.arange(1, 10)*0.1))\n",
"ax[0].grid()\n",
"\n",
"ax[0].plot(freq, I_pwr, linestyle='--', label='Power-Law')\n",
"ax[0].plot(freq, I_th, linestyle='--', label='Thermal')\n",
"ax[0].plot(freq, I_pwr+I_th, color='black')\n",
"\n",
"# Stokes V/I\n",
"ax[1].set_xlabel('Frequency (GHz)')\n",
"ax[1].set_ylabel('Stokes V/I')\n",
"ax[1].set_xlim(10, 100)\n",
"ax[1].set_ylim(0, 1)\n",
"\n",
"ax[1].set_xscale('log')\n",
"ax[1].xaxis.set_major_formatter(mpl.ticker.ScalarFormatter())\n",
"ax[1].xaxis.set_minor_formatter(mpl.ticker.NullFormatter())\n",
"ax[1].yaxis.set_major_formatter(mpl.ticker.FormatStrFormatter('%3.3g'))\n",
"ax[1].yaxis.set_minor_formatter(mpl.ticker.NullFormatter())\n",
"ax[1].xaxis.set_major_locator(mpl.ticker.LogLocator(base=10, numticks=5, subs=[2, 4, 6, 8]))\n",
"ax[1].xaxis.set_minor_locator(mpl.ticker.LogLocator(base=10, numticks=25, subs=np.arange(10, 100, 2)))\n",
"ax[1].yaxis.set_major_locator(mpl.ticker.MultipleLocator(0.2))\n",
"ax[1].yaxis.set_minor_locator(mpl.ticker.MultipleLocator(0.05))\n",
"ax[1].grid()\n",
"\n",
"ax[1].plot(freq, (V_pwr+V_th)/(I_pwr+I_th), color='black')\n",
"\n",
"# Final setup\n",
"ax[0].legend(loc=1)\n",
"ax[0].text(11, 45, '(a)', fontsize=18) \n",
"ax[1].text(11, 0.875, '(b)', fontsize=18)\n",
"\n",
"fig.set_facecolor('white')\n",
"plt.savefig('../figures/thermal-power-gs.png', bbox_inches='tight')\n",
"plt.savefig('../figures/thermal-power-gs.pdf', bbox_inches='tight')\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.10.2 ('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": "3.10.2"
},
"orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "5cbe4671836038beb9fe799f77b559b51db17203b1eb4ddb0c8c4883751c931a"
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}