Linear Canonical Transforms Theory and Applications /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Healy, John J. (Editor), Alper Kutay, M. (Editor), Ozaktas, Haldun M. (Editor), Sheridan, John T. (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2016.
• Series: Springer Series in Optical Sciences, 198
• Subjects: Physics.; Integral transforms.; Operational calculus.; Optics.; Electrodynamics.; Microwaves.; Optical engineering.; Optics and Electrodynamics.; Microwaves, RF and Optical Engineering.; Integral Transforms, Operational Calculus.; Numerical and Computational Physics.

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...

Table of Contents:

• 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.