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Fixing header errors per the Manual of Style using AWB |
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It is often necessary to know only the phase distribution from one of the planes, since the phase distribution on the other plane can be obtained by performing a Fourier transform on the plane whose phase is known. Although often used for two dimensional signals the GS algorithm is also valid for 1-d signals.
The paper by R. W. Gerchberg and W. O. Saxton on this algorithm is entitled “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” and was published in Optik (35, 237–246 1972).
The Pseudo-code below performs the GS algorithm to obtain a phase distribution for the plane, Source, such that its Fourier transform would have the amplitude distrribution of the plane, Target.
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