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quasartek
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Homework Statement
Given f(x,y) = DeltaFunction(y - x*tan(theta))
a) Plot function.
b) Take Fourier transform.
c) Plot resulting transform.
Homework Equations
Delta function condition non-zero condition DeltaFunction(0) = Infinity
Sifting property of delta functions
The Attempt at a Solution
I am using Mathematica and can plot a 1D version, DeltaFunction(x), however, I am having trouble extending it to 2D for part a. Part b, I tried using the sifting property integral(deltafunction(y-x*tan(theta))*f(x,y)=f(y-tan(theta)) but could not progress after that point.
Any help or suggestions would be greatly appreciated.