Two Dimensional FFT.

Cuthbert Nyack

The 2 dimensional FFT can be written as:-

The applet below shows the 2 dimensional diffraction from various apertures. However because of the sampling the patterns will not agree with the continuous case for small dimensions.

eg(6, 12, 16, 0, 3, NA, NA, 13, NA, 1.0)
shows the diffraction pattern of a rectangular aperture.

eg(5, 3, 8, 1, 3, NA, NA, 13, NA, 1.0)
shows the pattern of a double slit.

eg(14, 4, 8, 2, 4, NA, NA, 13, NA, 1.4)
shows the pattern of a parallogram aperture.

eg(24, 24, 8, 3, 12, NA, NA, 13, NA, 1.4)
shows the pattern of a triangular aperture.

eg(16, 24, 16, 3, 4, NA, NA, 13, NA, 1.7)
shows the pattern of a trapezoidal aperture.

eg(16, 21, 11, 4, 4, NA, NA, 13, NA, 1.8)
shows the pattern of a semicircular aperture.

eg(16, 7, 11, 5, 4, NA, NA, 11, NA, 0.9)
shows the pattern of a pentagonal aperture, controlled by sR.

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