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Titlebook: Linear Canonical Transforms; Theory and Applicati John J. Healy,M. Alper Kutay,John T. Sheridan Book 2016 Springer Science+Business Media N

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Sampling and Discrete Linear Canonical Transformsar physics. The question is how to define a discrete transform so that it not only approximates the continuous transform well, but also constitutes a discrete transform in its own right, being complete, unitary, etc. The key idea is that the LCT of a discrete signal consists of modulated replicas. B
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Deterministic Phase Retrieval Using the LCTl-world physical phenomenon involve some loss of information, the corresponding inverse problem is ill-posed unlike its forward counterpart. This makes the solution of inverse problems quite challenging. A majority of the approaches to solve the phase retrieval problem broadly fall into two categori
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Complex-Valued ABCD Matrices and Speckle Metrologyygens principle expressed with the complete system’s ABCD-matrix elements. As such, propagation through an optical system reduces to that of calculating the relevant matrix elements and substituting these into the expressions derived here. We have introduced complex-valued matrix element to represen
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Linear Canonical Transforms on Quantum States of Lightrmation between nodes of quantum networks, can store high-dimensional quantum bits in their spatial degrees of freedom. These degrees of freedom can be tailored by resorting to the symplectic invariant approach based on lossless linear canonical transformations. These transformations enable one to m
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