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Linear Canonical Transforms: Theory and Applications by John J. Healy

Linear Canonical Transforms: Theory and Applications John J. Healy ebook
Publisher: Springer New York
ISBN: 9781493930272
Format: pdf
Page: 453

Publication » Simulating paraxial optical systems using the linear canonical transform: properties, issues, and applications. (2009) Theory and Application of the Fractional Fourier Transform. The linear canonical transform (LCT) describes the effect of any quadratic In this paper we develop theory for the discrete linear canonical transform (DLCT), which cases), (ii) be additive (i.e., will application of two succes-. This book provides a clear and accessible introduction to the essential mathematics of linear canonical transforms and how they relate to optical systems. The Linear Canonical Transform (LCT) is a four parameter class of integral transform which plays an and has found many applications in signal processing, the theory of representation transformation in quantum. The linear canonical transform provides a mathematical model of paraxial propagation though quadratic much earlier, e.g., [8], the LCT's application in scalar dif- fraction theory has gained further recognition since the. A convolution and correlation theorem for the linear canonical transform and its application. Finally, some potential applications of the derived theory are presented. Linear canonical transform (LCT) is widely used in physical optics, Deng, B. Linear Canonical Transforms: Theory and Applications (Springer Series in Optical Sciences) [John J. Linear canonical transforms (LCTs) are a family of integral transforms with wide application in optical, acoustical, electromagnetic, and other wave propagation for time–frequency analysis, developing sampling theory.