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File:MHD wave mode 2.svg

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Summary

Description
English: MHD wave mode phase velocity diagram for .
Date
Source Own work
Author Krishnavedala
SVG development
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This plot was created with Matplotlib.
Source code
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Python code

Source code
import matplotlib.pyplot as plt
import numpy as np
plt.rc('font', family='serif', size=15)
plt.rc('text', usetex=0)

dt = 1e-2
t = np.arange(0, .5*np.pi, dt)
va = 1
vs = 1.25
vavs = (va**2) + (vs**2)
v_fast = np.sqrt(0.5*vavs + 0.5 * np.sqrt(vavs*vavs - 4*(va**2)*(vs**2)*((np.cos(t))**2)))
v_shear = np.sqrt(0.5*vavs - 0.5 * np.sqrt(vavs*vavs - 4*(va**2)*(vs**2)*((np.cos(t))**2)))
v_slow = va * np.cos(t)

fig = plt.figure(figsize=(6,4))
ax = fig.add_subplot(111)
ax.plot(t, v_fast, label='$v_{fast}$')
ax.plot(t, v_slow, label='$v_{slow}$')
ax.plot(t, v_shear, label='$v_{shear}$')
ax.legend(loc='right')
ax.set_xticks([0,np.pi*.25,np.pi*.5])
ax.set_xticklabels(['$0$\n$\mathbf{k}\parallel\mathbf{B}_0$', '$\\frac{\\pi}{4}$', '$\\frac{\\pi}{2}$\n$\mathbf{k}\perp\mathbf{B}_0$'])
ax.set_xlim([0,np.pi/2])
ax.set_ylim([0,np.sqrt(vavs)])
ax.set_yticks([va, vs, np.sqrt(vavs)])
ax.set_yticklabels(['$v_A$', '$v_s$', '$\\sqrt{v_A^2+v_s^2}$'])
ax.set_xlabel('$\\theta$', fontdict={'size':20})
ax.set_ylabel('$\\frac{\\omega}{k}$', rotation=0, fontdict={'size':20})
ax.set_title('Phase velocity $v_{ph}=\\frac{\\omega}{k}$ with respect to $\\theta$, $v_A<v_s$')
fig.savefig('mhdvph.svg', bbox_inches='tight')

Licensing

Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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25 April 2018

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Date/TimeThumbnailDimensionsUserComment
current20:56, 25 April 2018Thumbnail for version as of 20:56, 25 April 2018535 × 380 (41 KB)KrishnavedalaUser created page with UploadWizard

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