Image:BesselJ plot.svg

From Wikipedia, the free encyclopedia

Image
File history
File links

BesselJ_plot.svg‎ (94KB, MIME type: image/svg+xml)

This is a file from the Wikimedia Commons. The description on its description page there is shown below.

[edit] Summary

Plot of the Bessel functions of first kind $J 0 (x)$ in red, $J 1 (x)$ in green and $J 2 (x)$ in blue. The plot was produced running Gnuplot on the following code:

set terminal svg
set output "BesselJ_plot.svg"
set title "Bessel functions of 1st kind"
set xlabel "x"
set ylabel "J_n(x)"
set xrange [0:20]
set yrange [-0.5:1]
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set xtics axis
set ytics axis
plot "besselJ.dat" using 1:2 title "J_0(x)" with lines linewidth 2, \
     "besselJ.dat" using 1:3 title "J_1(x)" with lines linewidth 2, \
     "besselJ.dat" using 1:4 title "J_2(x)" with lines linewidth 2

the file "besselJ.dat" contains the values of the Bessel functions and can be produced with the following Octave commands:

t = 0:0.01:20;
J = [ t; besselj(0,t); besselj(1,t); besselj(2,t) ];
J = J';
save -ascii "besselJ.dat" J;

It was then post-processed with Inkscape; I had to modify the source manually as well using a text editor to fix the subscripts. I made this picture by myself

[edit] Licensing

I, the author 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".