File:Hermite-gaussian.png
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Summary
DescriptionHermite-gaussian.png |
English: Hermite-Gaussian transverse mode patterns. Bigger and better version created with the help of the Python script below
Русский: Моды оптического резонатора с квадратными зеркалами
#!/usr/bin/env python import sys import Image from math import * from scipy.special.orthogonal import hermite size = 320 I_0 = 1. w = size/4. m = int(sys.argv[1]) n = int(sys.argv[2]) def linear_to_sRGB(l): # Formula from http://www.w3.org/Graphics/Color/sRGB if l <= 0.00304: l = 12.92*l else: l = 1.055*pow(l,1.0/2.4) - 0.055 return 255.0*l # First, let's make a floating-point image of the raw intensities. raw = Image.new('F', (size,size)) high = 0 for x in range(1, size, 2): for y in range(1, size, 2): I = I_0 * (hermite(m)(sqrt(2)*x/w)*exp(-x**2/w**2))**2 \ * (hermite(n)(sqrt(2)*y/w)*exp(-y**2/w**2))**2 if I > high: high = I raw.putpixel((size/2+(x-1)/2,size/2+(y-1)/2), I) raw.putpixel((size/2+(x-1)/2,size/2-(y+1)/2), I) raw.putpixel((size/2-(x+1)/2,size/2+(y-1)/2), I) raw.putpixel((size/2-(x+1)/2,size/2-(y+1)/2), I) print 'row ' + str((x+1)/2) + ' of ' + str(size/2) + ' complete' # Now, let's normalize them and export them as sRGB. cooked = Image.new('L', (size,size)) for x in range(size): for y in range(size): l = raw.getpixel((x,y))/high cooked.putpixel((x,y), linear_to_sRGB(l)) print 'row ' + str(x+1) + ' of ' + str(size) + ' complete'cooked.save('plot-' + str(m) + '-' + str(n) + '.png') |
Date | 9 March 2004 (original upload date) |
Source | Transferred from en.wikipedia to Commons by SreeBot. |
Author | DrBob at en.wikipedia; original version from http://www.optique-ingenieur.org/en/courses/OPI_ang_M01_C03/co/Contenu_13.html |
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Original upload log
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Upload date | User | Bytes | Dimensions | Comment
- 2007-07-08 22:25 (UTC) | Keenan Pepper | 122975 (bytes) | 1280×960 | Hermite-Gaussian transverse mode patterns. Bigger & better version, created with this Python script: #!/usr/bin/env python import sys import Image from math import * from scipy.special.orthogonal import hermite size = 320 I_0 = 1. w = size/4
- 2004-10-09 00:56 (UTC) | DrBob | 29830 (bytes) | 350×268 | pngcrushed version
- 2004-03-10 00:45 (UTC) | DrBob | 35303 (bytes) | 350×268 | bug fixed version
- 2004-03-09 22:46 (UTC) | DrBob | 32346 (bytes) | 350×268 | Hermite-Gaussian transverse mode patterns, {{msg:GFDL}}
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 13:29, 16 January 2012 | 1,280 × 960 (120 KB) | wikimediacommons>SreeBot | (Original text) : Hermite-Gaussian transverse mode patterns. Bigger & better version, created with this Python script: #!/usr/bin/env python import sys import Image from math import * from scipy.special.orthogonal import hermite size = 320 I_ |
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