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. O. Bringdal. Optical transformations.
*Avtomenergiya*No. 2 (1983).

- A. E. Bereznii and I. N. Sisakyan. Optical coordinate transformations. 16th Int. School on the Physical Principles of Holography, Kuibyshsev (1985).

- D. Keisesent and Psaltis. New optical transformations for pattern recognition.
*TIIER*65 (1977).

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