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Linear canonical transforms[electronic resource] :theory and applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	535.2
書名/作者:	Linear canonical transforms : theory and applications // edited by John J. Healy ... [et al.].
其他作者:	Healy, John J.
出版者:	New York, NY : : Springer New York :, 2016.
面頁冊數:	xvi, 453 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Integral transforms.
標題:	Physics.
標題:	Calculus, Operational.
標題:	Optics.
標題:	Electrodynamics.
標題:	Microwaves.
標題:	Optical engineering.
標題:	Optics and Electrodynamics.
標題:	Microwaves, RF and Optical Engineering.
標題:	Integral Transforms, Operational Calculus.
標題:	Numerical and Computational Physics.
ISBN:	9781493930289
ISBN:	9781493930272
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-1-4939-3028-9

Linear canonical transforms[electronic resource] :theory 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 ;164..

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

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

610755
Integral transforms.

LC Class. No.: QA432

Dewey Class. No.: 535.2

Linear canonical transforms[electronic resource] :theory and applications /
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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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