How to rotate a function about the y-axis

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Katy Pointer
Katy Pointer 2011-10-5
I wonder if anyone can help.
I have a Bessel function defined from x=0:20. I am trying to rotate it about the y-axis, so I can get a plot which resembles an Airy function.
I am struggling to write a for loop which will do this. Does anyone have a suggestion or pointers?
Thank you
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Katy Pointer
Katy Pointer 2011-10-5
Isn't that the same thing? Then I can do mesh(matrix) to get the plot.
Jan
Jan 2011-10-5
You can plot a matrix. But rotating the Bessel function leads to a circular shape, not to a rectangular matrix.

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采纳的回答

Teja Muppirala
Teja Muppirala 2011-10-5
Something like this maybe?
[X,Y]=meshgrid(-20:0.1:20);
R = sqrt(X.^2 + Y.^2);
J=besselj(1,R);
Z=(J./R);
Z(isnan(Z)) = 0.5; %Fix the divide by zero problem
surf(X,Y,Z);
shading flat;
camlight;
  1 个评论
Katy Pointer
Katy Pointer 2011-10-5
That's amazing! Thank you. I had tried something similar, but didn't quite get the radius bit right. Thanks so much :)

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更多回答（2 个）

Patrick Kalita
Patrick Kalita 2011-10-5
Jan
Jan 2011-10-5
What about using AIRY?
v = -20:0.1:20;
m = bsxfun(@plus, v, i*v');
Z = airy(m);

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