Springer Linear Canonical Transforms: Theory and Applications: 198 (Springer Series in Optical Sciences, 198)

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. Review “It gives an up-to-date overview of the many aspects of the LCT. … This book is a most welcome addition to the literature. … This is a collection of survey papers written by renowned specialists that give a state-of-the-art of the many aspects of the linear canonical transform with an emphasis on the optical interpretation and applications.” (Adhemar Bultheel, European Mathematical Society, euro-math-soc.eu, February, 2016) From the Back Cover 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. About the Author John J. Healy was born in Dublin. He was awarded the BE and PhD degrees in electronic engineering by University College Dublin in 2005 and 2010. He worked as a Postdoctoral Fellow in Universidad Nacional Autónoma de México (UNAM) and Maynooth University. Healy is a member of IEEE, OSA and SPIE. He was a finalist in the European Community "Best PhD thesis in Computational Methods in Applied Sciences and Engineering 2010", and was awarded a Postdoctoral Fellowship from Irish Research Council for Science, Engineering and Technology (IRCSET) in 2010, and a NUI Fellowship in the Sciences in 2012. Since January 2015, he has been a Lecturer in Electronic Engineering at University College Dublin and Beijing Dublin International College at BJUT. His research interests span computational and applied optics, including the linear canonical transform, sampling theory, digital holography and 3D imaging, and time-frequency representations. M. Alper Kutay received his BS, MS and PhD degrees in Electrical and Electronics Engineering from Bilkent University, Ankara in 1993, 1995 and 1999 respectively. Between March 1999 and July 2000 he was at the Communications and Signal Processing Laboratory, Drexel University, Philadelphia as a Postdoctoral Research Associate. He has been with The Scientific and Technological Research Council of Turkey (TUBITAK) since 2000. Positions he held include Acting Vice President of TUBITAK, Acting Director of the Advanced Technologies Research Institute, Project Leader, and Systems Engineer. He is currently Advisor to th