OPTICAL PHASE ELEMENTS FOR ANALYTIC TRANSFORMATION OF COORDINATES

A. N. Andreev, A..E. Bereznii, I. N. Sisakyan

Abstract:
The paper presents experimental data on optical implementation of a two-dimensional analytic coordinate transformation in pictures by means of two-dimensional phase holograms. The correctness of the chosen mathematical model is established. The required degree of circuit adjustment and transformation accuracy parameters are estimated. Transformation of cartesian coordinates into polar-logarithmic ones (polar angle, logarithm of the polar radius) was carried out experimentally.

References:

  1. 1.  O. Bringdal. Optical transformations. Avtomenergiya No. 2 (1983).
  2. A. E. Bereznii and I. N. Sisakyan. Optical coordinate transformations. 16th Int. School on the Physical Principles of Holography, Kuibyshsev (1985).
  3. D. Keisesent and Psaltis. New optical transformations for pattern recognition. TIIER 65 (1977).


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