2D colormap of a polar coordinates function

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I have a function defined as:
which I can visualise in 1D using:
r = -2:0.001:2;
a1 = 5;
I = a1 * exp(-2*(r).^2);
plot(r,I);
However, this function is radially symmetric, so I should be able to plot it in 2D and make it look like this:
How could I do this? I would like it to remain a plot of r (on the horizontal axes) against I(r).

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Ameer Hamza
Ameer Hamza 2020-12-6
编辑:Ameer Hamza 2020-12-6
You will need to use
x = -2:0.02:2;
[x,y] = meshgrid(x);
a1 = 5;
r2 = x.^2+y.^2;
I = a1 * exp(-5*r2);
surf(x,y,I);
shading interp
colormap(jet)

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