Abstract

In this paper, we consider the properties of the nonsymmetrical Fourier transformation which is space-variant in both rectangular and polar coordinates. A coherent optical processor composed of two nonsymmetrical Fourier transformers is introduced. This processor allows rotation-variant linear filtering operations and matched filtering. Two configurations for such a processor are proposed. For certain parameters of both nonsymmetrical Fourier transformers it is possible to obtain a space-invariant processor with both lateral magnifications equal to unity. However, introducing any filter operation results in a rotation-variant performance.

© 1985 Optical Society of America

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