Linear canonical transforms [electronic resource] : theory and applications / John J. Healy, M. Alper Kutay, Haldun M. Ozaktas, John T. Sheridan, editors.
Healy, John J. editor.; Alper Kutay, M. editor.; Ozaktas, Haldun M. editor.; Sheridan, John T. editor.
2016
QA432
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Title
Linear canonical transforms [electronic resource] : theory and applications / John J. Healy, M. Alper Kutay, Haldun M. Ozaktas, John T. Sheridan, editors.
ISBN
9781493930289 (electronic book)
1493930281 (electronic book)
9781493930272
1493930273
DOI
https://doi.org/10.1007/978-1-4939-3028-9
Published
New York, NY : Springer, 2016.
Language
English
Description
1 online resource (xvi, 453 pages) : illustrations.
Item Number
10.1007/978-1-4939-3028-9 doi
Call Number
QA432
Dewey Decimal Classification
535.2
537.6
Summary
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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Access limited to authorized users.
Digital File Characteristics
text file PDF
Added Author
Healy, John J. editor.
Alper Kutay, M. editor.
Ozaktas, Haldun M. editor.
Sheridan, John T. editor.
Series
Springer series in optical sciences ; 198.
Available in Other Form
Print version: 9781493930272
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Foreword
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.

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