File:Bessel gauss.svg

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Original file(SVG file, nominally 266 × 354 pixels, file size: 56 KB)

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Summary[edit]

Description
English: comparison of Bessel and gaussian beams

top: both have the same 1/e^2 width of the (first) maximum; bottom: integrated intensity (over the plot region) is equal for both

The graphics was created using Gnuplot (source see below) and post-processing in Inkscape.
Date
Source Own work
Author Jkrieger
reset
#set terminal svg enhanced size 1000 1000 fname "Times" fsize 36
#set terminal emf color solid enhanced size 750,1000 font "Arial,12" linewidth 3
#set output 'bessel_gauss.svg'
#set output 'bessel_gauss.emf'
set terminal pdf color solid enhanced size 7.5cm,10cm font "Arial,14" linewidth 3
set output 'bessel_gauss.pdf'
set style line 10 lt 3 lc rgb "black" lw 1.5;
set style line 11 lt 1 lc rgb "gray80" lw 0.7;
set style line 12 lt 1 lc rgb "gray80" lw 0.4;
set style line 21 lt 3 lc rgbcolor "dark-red" lw 1;
set style line 22 lt 3 lc rgbcolor "dark-blue" lw 1;
set style line 23 lt 3 lc rgbcolor "dark-green" lw 1;
set style line 24 lt 3 lc rgbcolor "dark-magenta" lw 1;
set linetype 1 lt 1 lc rgbcolor "red" lw 3;
set linetype 2 lt 1 lc rgbcolor "blue" lw 3;
set linetype 3 lt 1 lc rgbcolor "web-green" lw 3;
set linetype 4 lt 1 lc rgbcolor "dark-magenta" lw 3;
set linetype 5 lt 1 lc rgbcolor "orange" lw 3;
set linetype 6 lt 1 lc rgbcolor "steelblue" lw 3;
set border lw 2;
set grid xtics ytics ls 11, ls 12;
set grid mxtics mytics ls 11, ls 12;
set multiplot layout 2,1
set xlabel 'radial coordinate r'
set ylabel 'intensity [A.U.]'
plot [0:10] exp(-2*x**2/(1.75**2)) title 'Gauß', besj0(x)**2 title 'Bessel'  
set xlabel 'radial coordinate r'
set ylabel 'intensity [A.U.]'
plot [0:20] exp(-2*x**2/(2.8793**2)) title 'Gauß', besj0(x)**2 title 'Bessel'  

unset multiplot
set output 
set terminal win
replot

Licensing[edit]

w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution: Jan Krieger
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.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

File history

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Date/TimeThumbnailDimensionsUserComment
current11:30, 28 October 2012Thumbnail for version as of 11:30, 28 October 2012266 × 354 (56 KB)Jkrieger (talk | contribs)improved text
11:21, 28 October 2012Thumbnail for version as of 11:21, 28 October 2012266 × 354 (55 KB)Jkrieger (talk | contribs){{Information |Description ={{en|1=comparison of Bessel and gaussian beams top: both have the same 1/e^2 width of the (first) maximum bottom: integrated intensity (over the plot region) is equal for both}} |Source ={{own}} |Author =[...

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