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Linear Canonical Transforms Theory and Applications /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Healy, John J. (Editor ), Alper Kutay, M. (Editor ), Ozaktas, Haldun M. (Editor ), Sheridan, John T. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Springer Series in Optical Sciences, 198
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.