Bilinear Transformations In Optical Signal Processing

Bahaa E.A. Saleh

doi:10.1117/12.934542

27 February 1984 Bilinear Transformations In Optical Signal Processing

Bahaa E.A. Saleh

Proceedings Volume 0373, Transformations in Optical Signal Processing; (1984) https://doi.org/10.1117/12.934542
Event: Transformations in Optical Signal Processing, 1981, Seattle, United States

Abstract

Abstract. The bilinear transformation, which is a quadratic transformation with spread, characterizes the operations performed by many optical systems. This is due to the natural quadratic relation between the optical field and the optical intensity. The transmission of information through a bilinear system is examined. This includes frequency-domain analysis for space-invariant systems, and expansions in terms of orthogonal functions. Several methods of performing bilinear transformations using coherent or partially coherent processors are discussed. We demonstrate how dimensionality can be traded with order of nonlinearity. We also show how a bilinear system can be realized by use of a parallel bank of coherent spatial filters. The problem of inverting a bilinear transformation is addressed. This is the problem of image restoration when the distortion model is bilinear. Several methods of restoration are discussed.

Citation Download Citation

Bahaa E.A. Saleh "Bilinear Transformations In Optical Signal Processing", Proc. SPIE 0373, Transformations in Optical Signal Processing, (27 February 1984); https://doi.org/10.1117/12.934542

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