Analog Fourier optical processing systems can perform important classes of signal processing operations in parallel, but suffer from limited accuracy. Digital-optical equivalents of such systems could be built that share many features of the analog systems while allowing greater accuracy. We show that the digital equivalent of any system consisting of an arbitrary number of lenses, niters, spat...

In this work we examine the use of ray-transfer matrices for teaching and for deriving some topics in a Fourier optics course, exploiting the mathematical simplicity of ray matrices compared to diffraction integrals. A simple analysis of the physical meaning of the elements of the ray matrix provides a fast derivation of the conditions to obtain the optical Fourier transform. We extend this der...

All-quantum signal processing techniques are at the core of successful advancement most information-based quantum technologies. This article develops coherent and comprehensive methodologies mathematical models to describe Fourier optical in full terms for any input state light. We begin this by introducing a spatially 2-D photon, associated with its wavefront expressible as creation operator. ...

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We consider a general formulation of the problem signal reconstruction from incomplete priori information about it and measurements intensity its Fourier transform. Some special cases are studied when is even or odd part signal, as well real imaginary signal. Exact solutions in quadratures constructed. An algorithm for solving proposed only image intensities known.

Our aim in this paper is to obtain the best synthesis of a desired mutual intensity dis~but~on, by filtering in fractional Fourier domains. More specifically, we find the optimal fractional-domain filter that transforms a given (source) mutual intensity distribution into the desired one as closely as possible (in the minimum mean-square error sense). It is observed that, in some cases, closer a...