Abstract

The complete computational formulation for the branch-point method to implement geometrical transforms with diffractive optics is provided. The concept of a branch-point number density is introduced as an aid to the implementation process. This method retains the analytic approach of the Bryngdahl method. It replaces the need for guessing the Bryngdahl phase function with a computational procedure that obtains the Bryngdahl phase function uniquely. The rotation transform and the ring-to-point transform are treated as examples that show how the computations are performed. Included are the computation of the branch-point number density and the computation of the Bryngdahl phase function.

© 1994 Optical Society of America

Diffractive optical Hough transform implemented with phase singularities

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