Linear Canonical Transforms
Theory and Applications
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Beschreibung
This book provides a clear and accessible introduction to the essential mathematical foundations of linear canonical transforms from a signals and systems perspective. Substantial attention is devoted to how these transforms relate to optical systems and wave propagation. There is extensive coverage of sampling theory and fast algorithms for numerically approximating the family of transforms. Chapters on topics ranging from digital holography to speckle metrology provide a window on the wide range of applications.This volume will serve as a reference for researchers in the fields of image and signal processing, wave propagation, optical information processing and holography, optical system design and modeling, and quantum optics. It will be of use to graduate students in physics and engineering, as well as for scientists in other areas seeking to learn more about this important yet relatively unfamiliar class of integral transformations.
This book provides a clear and accessible introduction to the essential mathematical foundations of linear canonical transforms from a signals and systems perspective. Substantial attention is devoted to how these transforms relate to optical systems and wave propagation. There is extensive coverage of sampling theory and fast algorithms for numerically approximating the family of transforms. Chapters on topics ranging from digital holography to speckle metrology provide a window on the wide range of applications.
This volume will serve as a reference for researchers in the fields of image and signal processing, wave propagation, optical information processing and holography, optical system design and modeling, and quantum optics. It will be of use to graduate students in physics and engineering, as well as for scientists in other areas seeking to learn more about this important yet relatively unfamiliar class of integral transformations.
The only up-to-date guide on linear canonical transforms Thorough but accessible coverage of both theory and applications Coverage of methods to implement numerical simulations Authoritative contributions from international researchers working in a wide range of disciplines and approaching the subject from different angles Includes supplementary material: sn.pub/extras
Autor*in
John J. Healy
Themen in »Linear Canonical Transforms«
Linear canonical transforms book digital holography fourier optics optical signal processing speckle metrology transforms in optics
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“It gives an up-to-date overview of the many aspects of the LCT. … This book is a most welcome addition to the literature. … This is a collection of survey papers written by renowned specialists that give a state-of-the-art of the many aspects of the linear canonical transform with an emphasis on the optical interpretation and applications.” (Adhemar Bultheel, European Mathematical Society, euro-math-soc.eu, February, 2016)
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