diff --git a/CODE_OF_CONDUCT.md b/CODE_OF_CONDUCT.md index 67a4701..1bdc0bf 100644 --- a/CODE_OF_CONDUCT.md +++ b/CODE_OF_CONDUCT.md @@ -1,4 +1,4 @@ # Code of Conduct The code of conduct for this repository is the -[PlasmaPy code of conduct](https://github.com/PlasmaPy/PlasmaPy/blob/master/CODE_OF_CONDUCT.md). +[PlasmaPy code of conduct](https://github.com/PlasmaPy/PlasmaPy/blob/master/docs/CODE_OF_CONDUCT.rst). diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md index 9e4779f..b651859 100644 --- a/CONTRIBUTING.md +++ b/CONTRIBUTING.md @@ -1,4 +1,4 @@ # Contributing Guidelines -Please see [Contributing to PlasmaPy](https://github.com/PlasmaPy/PlasmaPy/blob/master/CONTRIBUTING.md) +Please see [Contributing to PlasmaPy](https://github.com/PlasmaPy/PlasmaPy/blob/master/docs/CONTRIBUTING.rst) for guidelines on how to contribute. diff --git a/physics/Magnetized Cold Plasma Properties.ipynb b/physics/Magnetized Cold Plasma Properties.ipynb new file mode 100644 index 0000000..6041b2f --- /dev/null +++ b/physics/Magnetized Cold Plasma Properties.ipynb @@ -0,0 +1,313 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Cold Magnetized Plasma Waves Tensor Elements (S, D, P in Stix's notation)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This example shows how to calculate the values of the cold plasma tensor elements for various electromagnetic wave frequencies.\n", + "\n", + "\n", + "Let's assume a magnetized plasma where the DC magnetic field is oriented along the $z$ direction: $\\mathbf{B} = B_0 \\mathbf{\\hat{z}}$. In the cold plasma approximation, the dielectric tensor of the plasma $\\mathbf{K}$ can be written as[1,2]: \n", + "\n", + "![Stix frame](figures/stix_frame.svg)\n", + "\n", + "$$\n", + "\\mathbf{K}\n", + "\\doteq\n", + "\\left(\n", + "\\begin{array}{ccc}\n", + "S & j D & 0 \\\\\n", + "-j D & S & 0 \\\\\n", + "0 & 0 & P\n", + "\\end{array}\n", + "\\right)\n", + "$$\n", + "with\n", + "$$\n", + "\\begin{eqnarray}\n", + "S &\\doteq& 1 - \\sum_s \\frac{\\omega_{p,s}^2}{\\omega^2 - \\Omega_{c,s}^2} \\\\\n", + "D &\\doteq& \\sum_s \\frac{\\Omega_{c,s}}{\\omega} \\frac{\\omega_{p,s}^2}{\\omega^2 - \\Omega_{c,s}^2} \\\\\n", + "P &\\doteq& 1 - \\sum_s \\frac{\\omega_{p,s}^2}{\\omega^2}\n", + "\\end{eqnarray}\n", + "$$\n", + "\n", + "where the summation is done on all plasma species $s$ and $\\omega_{p,s}$ and $\\Omega_{c,s}$ are the plasma and the cyclotron frequencies (actually pulsations) for the species $s$ respectively. Stix $S,D,P$ notations are mnemonics for the _Sum_, _Difference_, _Plasma_ terms.\n", + "\n", + "Such media is said to be gyrotropic. If one uses a rotating basis, using the following change of variables:\n", + "\n", + "$$\n", + "\\begin{eqnarray}\n", + "S &\\doteq& \\frac{1}{2} \\left( R + L \\right) \\\\\n", + "D &\\doteq& \\frac{1}{2} \\left( R - L \\right) \\\\\n", + "\\end{eqnarray}\n", + "$$\n", + "where $R$ and $L$ stands for _Right_ and _Left_, then the dielectric tensor becomes diagonal is this frame.\n", + "\n", + "\n", + " [1] Thomas.H. Stix, Waves in Plasmas. New York: American Institute of Physics. 1992.\n", + "\n", + " [2] D. G. Swanson, Plasma Waves, 2nd ed. (CRC Press, 2003).\n", + "\n", + "Below we plot these quantities using PlasmaPy." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# First, import some basics and PlasmaPy\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from astropy import units as u # units are needed to defined plasma quantities\n", + "from plasmapy.physics.dielectric import (cold_plasma_permittivity_SDP,\n", + " cold_plasma_permittivity_LRP)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's define the magnetic field magnitude and the plasma species and their respective densities:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "B = 2 * u.T\n", + "species = ['e', 'D+']\n", + "n = [1e18 * u.m**-3, 1e18 * u.m**-3]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plot S, D, P parameter vs frequency" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's define a frequency range, here from 1 MHz to 200 GHz:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "f = np.logspace(start=6, stop=11.3, num=3001) # 1 MHz to 200 GHz\n", + "omega_RF = f * (2 * np.pi) * (u.rad / u.s)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we have all the elements to calculate the Stix parameters S, D and P: " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "S, D, P = cold_plasma_permittivity_SDP(B, species, n, omega_RF)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that passing parameter without using will raise a warning: " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: UnitsWarning: No units are specified for B = 2 in cold_plasma_permittivity_SDP. Assuming units of T.\n", + " To silence this warning, explicitly pass in an Astropy Quantity (from astropy.units)\n", + " (see http://docs.astropy.org/en/stable/units/) [plasmapy.utils.checks]\n", + "WARNING: UnitsWarning: No units are specified for omega = [6.28318531e+06 6.30879674e+06 6.33451256e+06 ... 1.24350213e+12\n", + " 1.24857088e+12 1.25366029e+12] in cold_plasma_permittivity_SDP. Assuming units of rad / s.\n", + " To silence this warning, explicitly pass in an Astropy Quantity (from astropy.units)\n", + " (see http://docs.astropy.org/en/stable/units/) [plasmapy.utils.checks]\n" + ] + } + ], + "source": [ + "_, _ , _ = cold_plasma_permittivity_SDP(2, species, n, 2*np.pi*f)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Before plotting them against the frequency, let's filter positive and negative values, in order to display these signs in way compatible with log plots." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Filter positive and negative values, for display purposes in log scale only.\n", + "# Still for display purposes in log scale, replace 0 by NaN to NOT plot 0 values\n", + "S_pos = S * (S > 0)\n", + "D_pos = D * (D > 0)\n", + "P_pos = P * (P > 0)\n", + "S_neg = S * (S < 0)\n", + "D_neg = D * (D < 0)\n", + "P_neg = P * (P < 0)\n", + "S_pos[S_pos == 0] = np.NaN\n", + "D_pos[D_pos == 0] = np.NaN\n", + "P_pos[P_pos == 0] = np.NaN\n", + "S_neg[S_neg == 0] = np.NaN\n", + "D_neg[D_neg == 0] = np.NaN\n", + "P_neg[P_neg == 0] = np.NaN" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 6))\n", + "plt.semilogx(f, abs(S_pos),\n", + " f, abs(D_pos),\n", + " f, abs(P_pos), lw=2)\n", + "plt.semilogx(f, abs(S_neg), 'C0',\n", + " f, abs(D_neg), 'C1',\n", + " f, abs(P_neg), 'C2', lw=2, ls='--')\n", + "plt.yscale('log')\n", + "plt.grid(True, which='both')\n", + "plt.ylim(1e-4, 1e8)\n", + "plt.xlim(1e6, 200e9)\n", + "plt.legend(('S > 0', 'D > 0', 'P > 0', 'S < 0', 'D < 0', 'P < 0'),\n", + " fontsize=16, ncol=2)\n", + "plt.xlabel('RF Frequency [Hz]', size=16)\n", + "plt.ylabel('Absolute value', size=16)\n", + "plt.tick_params(labelsize=14)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Cold Plasma tensor elements in the rotating basis" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "L, R, P = cold_plasma_permittivity_LRP(B, species, n, omega_RF)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "L_pos = L * (L > 0)\n", + "R_pos = R * (R > 0)\n", + "L_neg = L * (L < 0)\n", + "R_neg = R * (R < 0)\n", + "L_pos[L_pos == 0] = np.NaN\n", + "R_pos[R_pos == 0] = np.NaN\n", + "L_neg[L_neg == 0] = np.NaN\n", + "R_neg[R_neg == 0] = np.NaN\n", + "\n", + "plt.figure(figsize=(12, 6))\n", + "plt.semilogx(f, abs(L_pos),\n", + " f, abs(R_pos),\n", + " f, abs(P_pos), lw=2)\n", + "plt.semilogx(f, abs(L_neg), 'C0',\n", + " f, abs(R_neg), 'C1',\n", + " f, abs(P_neg), 'C2', lw=2, ls='--')\n", + "plt.yscale('log')\n", + "plt.grid(True, which='both')\n", + "plt.xlim(1e6, 200e9)\n", + "plt.legend(('L > 0', 'R > 0', 'P > 0', 'L < 0', 'R < 0', 'P < 0'),\n", + " fontsize=16, ncol=2)\n", + "plt.xlabel('RF Frequency [Hz]', size=16)\n", + "plt.ylabel('Absolute value', size=16)\n", + "plt.tick_params(labelsize=14)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.6.8" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/physics/figures/stix_frame.svg b/physics/figures/stix_frame.svg new file mode 100644 index 0000000..1fc62f5 --- /dev/null +++ b/physics/figures/stix_frame.svg @@ -0,0 +1,242 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + x + z + B + y + + 0 + + +