Linear canonical transforms: theory and applications / eds.: J.J.Healy et al. - New York: Springer Science+Business Media, 2016. - xvi, 453 p.: ill. - (Springer series in optical sciences; vol.198). - Bibliogr. at the end of the chapters. - ISBN 978-1-4939-3027-2; ISSN 0342-4111 Шифр: (Pr 1053/198) 02  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents

Part I Fundamentals 1 Development of Linear Canonical Transforms: A Historical Sketch ....................................................... 3 Kurt Bernardo Wolf 2 The Linear Canonical Transformation: Definition and Properties .................................................. 29 Martin J. Bastiaans and Tatiana Alieva 3 Eigenfunctions of the Linear Canonical Transform ............ 81 Soo-Chang Pei and Jian-Jiun Ding 4 Uncertainty Principles and the Linear Canonical Transform ... 97 Ran Tao and Juan Zhao 5 The Linear Canonical Transformations in Classical Optics ... 113 Tatiana Alieva, José A. Rodrigo, Alejandro Cámara, and Martin J. Bastiaans 6 Optical Implementation of Linear Canonical Transforms ...... 179 M. Alper Kutay, Haldun M. Ozaktas, and Jose A. Rodrigo Part II Discretization and Computation 7 Linear Canonical Domains and Degrees of Freedom of Signals and Systems ........................................ 197 Figen S. Oktem and Haldun M. Ozaktas 8 Sampling and Discrete Linear Canonical Transforms .......... 241 John J. Healy and Haldun M. Ozaktas 9 Self-imaging and Discrete Paraxial Optics .................. 257 Markus Testorf and Bryan Hennelly 10 Fast Algorithms for Digital Computation of Linear Canonical Transforms ....................................... 293 Aykut Koç, Figen S. Oktem, Haldun M. Ozaktas, and M. Alper Kutay Part III Applications 11 Deterministic Phase Retrieval Using the LCT ................ 331 Unnikrishnan Gopinathan, John Healy, Damien P. Kelly, and John T. Sheridan 12 Analyzing Digital Holographic Systems with the LCT ......... 347 Damien P. Kelly and John T. Sheridan 13 Double Random Phase Encoding Based Optical Encryption Systems Using Some Linear Canonical Transforms: Weaknesses and Countermeasures ............................. 367 Pramod Kumar, Joby Joseph, and Kehar Singh 14 Complex-Valued ABCD Matrices and Speckle Metrology ......... 397 Steen G. Hanson, Michael L. Jakobsen, and Harold T. Yura 15 Linear Canonical Transforms on Quantum States of Light ..... 429 Gabriel F. Calvo and Antonio Picón