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• Special functions in Matlab

  - by favala

  I'm trying to get a picture like the following: http://upload.wikimedia.org/wikipedia/en/e/e6/Airy-3d.svg What am I doing wrong? [x,y]=meshgrid(-1:.1:1,-1:.1:1); surf(x,y,(2*besselj(1,2*pi*sqrt(x.^2+ y.^2)/sqrt(x.^2+ y.^2)).^2) Also... kind of a side note, but if I used ndgrid instead of meshgrid here my x's and y's would switch right?

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• Graphing special functions in Matlab (2D Bessel)

  - by favala

  I'm trying to essentially get something like this where I can see clear ripples at the base but otherwise it's like a Gaussian: This is kind of unsatisfactory because the ripples aren't very noticeable, it has a very gritty quality that obscures the image a bit, and if you move the graph so that it's just in 2D (so it looks like a circle) I'm not even sure if it's quite like how it should be (the concentric circles seem to be more evenly spaced in the real thing). So, is there a better way to do this? a = 2*pi; [X Y] = meshgrid(-1:0.01:1,-1:0.01:1); R = sqrt(X.^2+Y.^2); f = (2*besselj(1,a*R(:))./R(:)).^2; mesh(X,Y,reshape(f,size(X))); axis vis3d;

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