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Linear canonical transformstheory an...

Healy, John J.

Linear canonical transformstheory and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear canonical transformsedited by John J. Healy ... [et al.].
Reminder of title:	theory and applications /
other author:	Healy, John J.
Published:	New York, NY :Springer New York :2016.
Description:	xvi, 453 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Integral transforms.
Online resource:	http://dx.doi.org/10.1007/978-1-4939-3028-9
ISBN:	9781493930289$q(electronic bk.)

Linear canonical transformstheory and applications /
Linear canonical transformstheory and applications /[electronic resource] :edited by John J. Healy ... [et al.]. - New York, NY :Springer New York :2016. - xvi, 453 p. :ill. (some col.), digital ;24 cm. - Springer series in optical sciences,v.1980342-4111 ;. - Springer series in optical sciences ;v. 93..

Foreward -- PART I : Fundamentals -- Development of linear canonical transforms - a historical sketch -- The linear canonical transformation: definition and properties -- Eigenfunctions of the linear canonical transform -- Uncertainty principles and the linear canonical transform -- The linear canonical transformations in classical optics -- Optical Implementation of Linear Canonical Transforms -- PART II : Discretization and Computation -- Linear canonical domains and degrees of freedom of signals and systems -- Sampling and discrete linear canonical transforms -- Self-imaging and discrete paraxial optics -- Fast algorithms for digital computation of linear canonical transforms -- PART III : Applications -- Deterministic phase retrieval using the LCT -- Analyzing digital holographic systems with the LCT -- Double random phase encoding based optical encryption systems using some linear canonical transforms: weaknesses and countermeasures -- Complex valued ABCD Matrices -- Linear canonical transforms on quantum states of light.

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.

ISBN: 9781493930289$q(electronic bk.)

Standard No.: 10.1007/978-1-4939-3028-9doiSubjects--Topical Terms:

247335
Integral transforms.

LC Class. No.: QA432

Dewey Class. No.: 535.2

Linear canonical transformstheory and applications /
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505 0 $a Foreward -- PART I : Fundamentals -- Development of linear canonical transforms - a historical sketch -- The linear canonical transformation: definition and properties -- Eigenfunctions of the linear canonical transform -- Uncertainty principles and the linear canonical transform -- The linear canonical transformations in classical optics -- Optical Implementation of Linear Canonical Transforms -- PART II : Discretization and Computation -- Linear canonical domains and degrees of freedom of signals and systems -- Sampling and discrete linear canonical transforms -- Self-imaging and discrete paraxial optics -- Fast algorithms for digital computation of linear canonical transforms -- PART III : Applications -- Deterministic phase retrieval using the LCT -- Analyzing digital holographic systems with the LCT -- Double random phase encoding based optical encryption systems using some linear canonical transforms: weaknesses and countermeasures -- Complex valued ABCD Matrices -- Linear canonical transforms on quantum states of light.
520 $a 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.
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