2D Fourier Transform of a "Box"

Cuthbert Nyack
The 2D function in the x-y plane above has a 2D Fourier transform in the u-v plane given below.
The 2D transform in the uv plane is illustrated by the applet below. When th = 0, the view is along the u axis. Both u and v axes go from -4 to +4.

The pattern is also tht which would be observed in rectangular slit diffraction in optics.
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COPYRIGHT 1999 Cuthbert A. Nyack.