Keywords: Plane wave.gif Illustration of a en Plane wave self-made with MATLAB 05 43 7 November 2007 UTC Oleg Alexandrov Created with MATLAB MATLAB source code <source lang matlab > an illustration of a plane spherical wave plane_wave 1; spherical_wave 2; wave_type plane_wave; wave_type spherical_wave; if wave_type plane_wave window size Lx 0 4; Ly 1; wavenumber 60; blow up the image by this factor to display better factor 30; a small shift to be added below for graph purposes shift 1; elseif wave_type spherical_wave Lx 0 5; Ly Lx; wavenumber 100; factor 1; shift 3; end Mx Lx/2; Wy Ly/2; M 400; N floor M Ly/Lx ; X Y meshgrid linspace -Lx/2 Lx/2 M linspace -Ly/2 Ly/2 N ; T 1; nt 10; Time linspace 0 T nt ; for repeat 1 1 go over one time period of the field for iter 1 nt-1 nt is same as 1 due to peridicity t Time iter ; if wave_type plane_wave plane wave Z real exp i wavenumber Y exp -i 2 pi t ; elseif wave_type spherical_wave spherical wave Z exp sqrt -1 wavenumber sqrt X 2+Y 2 exp -sqrt -1 2 pi t /sqrt X 2+Y 2 ; end plot the real part of the field Z figure 1 ; clf; hold on; axis equal; axis off; image factor real Z+shift ; add shift to Z for graphing purposes colormap jet; shading interp; file sprintf 'Movie_frame d eps' 1000+iter ; disp file ; show the frame number we are at saveas gcf file 'psc2' save the current frame pause 0 1 ; end end The following command was used to create the animated figure convert -antialias -loop 10000 -delay 15 -compress LZW Movie_frame10 Spherical_wave gif </source> Wave equation Files by User Oleg Alexandrov from en wikipedia Partial differential equations Animated GIF Horizontal stripes Animations of plane waves Images with Matlab source code |