File:Gaussian-beam-animation.gif
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Gaussian-beam-animation.gif (320 × 200 pixels, file size: 381 KB, MIME type: image/gif, looped, 80 frames, 4.0 s)
File information
Structured data
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Summary[edit]
DescriptionGaussian-beam-animation.gif |
English: Animation of a Gaussian beam with varying opening angle w0/z0. |
Date | |
Source | Own work |
Author | Geek3 |
Source Code[edit]
This plot was created with Matplotlib.
Python source code |
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#!/usr/bin/python
# -*- coding: utf8 -*-
from math import *
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import animation
# settings
fname = 'gaussian-beam-animation'
size = 320, 200
nframes = 2 * 40
lambda_px = 30
angle0 = radians(14)
angle1 = radians(32)
angles = angle0+(angle1-angle0)*(1-np.abs(1-np.linspace(0, 2, nframes+1)[:-1]))
def animate(nframe):
angle = angles[nframe]
w0 = lambda_px / (pi * tan(angle))
z0 = pi * w0**2 / lambda_px
w = lambda z: w0 * sqrt(1 + (z / z0)**2)
plt.clf()
fig.gca().set_position((0, 0, 1, 1))
plt.xlim(-size[0]/2., size[0]/2.)
plt.ylim(-size[1]/2., size[1]/2.)
plt.axis('off')
# asymptotes
edges = np.array([-size[0]/2, size[0]/2.])
plt.plot(edges, w0/z0*edges, 'k', lw=0.5)
plt.plot(edges, -w0/z0*edges, 'k', lw=0.5)
# parameters
plt.vlines(0, 0, w0, lw=1)
plt.hlines(0, 0, z0, lw=1)
plt.vlines(z0, 0, w0, lw=0.5)
plt.hlines(w0, 0, z0, lw=0.5)
plt.text(-1, 6, r'$w_0$', fontsize=20, horizontalalignment='right')
plt.text(11, 3, r'$z_0$', fontsize=20, verticalalignment='top')
# laser beam edges
x = np.linspace(-size[0]/2., size[0]/2., int(size[0]+1))
plt.plot(x, [w(z) for z in x], 'k', lw=4)
plt.plot(x, [-w(z) for z in x], 'k', lw=4)
# wavelength legend
px, py = 56, -88
plt.text(px, py + 4, r'$\lambda$', fontsize=20, horizontalalignment='center')
plt.hlines(py, px-lambda_px/2., px+lambda_px/2.)
plt.vlines(px-lambda_px/2., py-5, py+5)
plt.vlines(px+lambda_px/2., py-5, py+5)
fig = plt.figure(figsize=(size[0]/100., size[1]/100.))
anim = animation.FuncAnimation(fig, animate, frames=nframes)
anim.save(fname + '.gif', writer='imagemagick', fps=20)
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Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following licenses:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
You may select the license of your choice.
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 12:18, 11 October 2014 | 320 × 200 (381 KB) | Geek3 (talk | contribs) | Gaussian-beam-animation.gif |
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