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
Tomasz Szoplik and Henri H. Arsenault, "Rotation-variant optical data processing using the 2-D nonsymmetric Fourier transform," Appl. Opt. 24, 168-172 (1985)