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 shown below.
This 2D transform in the u-v plane is illustrated in the applet below. When th = 0, the view is along the u axis. Both u and v axes go from -4 to +4.

This pattern is identical to the interference+diffraction pattern of a double slit.
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COPYRIGHT 1999 Cuthbert A. Nyack.