File:BesselJ plot.svg

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BesselJ_plot.svg‎ (SVG file, nominally 600 × 480 pixels, file size: 19 KB)

[edit] Summary

Description 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.
Date April 2006(2006-04)
Source own work
Lissajous small.svg
 This vector image was created with gnuplot.
Author Alessio Damato

[edit] Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head 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.

w:en:Creative Commons
attribution share alike		 This file is licensed under the Creative Commons Attribution-Share Alike 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 attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.
This licensing tag was added to this file as part of the GFDL licensing update.

w:en:Creative Commons
attribution share alike		 This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic 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 attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.
You may select the license of your choice.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current01:27, 2 January 2009Thumbnail for version as of 01:27, 2 January 2009600 × 480 (19 KB)Geek3 (accurate plot-lines)
12:12, 26 April 2006Thumbnail for version as of 12:12, 26 April 2006600 × 480 (93 KB)Alejo2083 (hopefully the final version)
18:10, 25 April 2006Thumbnail for version as of 18:10, 25 April 2006600 × 480 (44 KB)Alejo2083 (another subscript test)
17:48, 25 April 2006Thumbnail for version as of 17:48, 25 April 2006600 × 480 (42 KB)Alejo2083 (reverted to previous version (the test did not work))
17:44, 25 April 2006Thumbnail for version as of 17:44, 25 April 2006600 × 480 (43 KB)Alejo2083 (test with subscripts)
12:13, 12 October 2005Thumbnail for version as of 12:13, 12 October 2005600 × 480 (42 KB)Alejo2083 ( Plot of the Bessel functions of first kind <math>J_0(x)</math> in red, <math>J_1(x)</math> in green and <math>J_2(x)</math> in blue. The plot was produced running Gnuplot on the following code: <pre> set terminal )
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This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
Width 600
Height 480
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