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This book provides a clear and accessible introduction to the essential mathematics of linear canonical transforms and how they relate to optical systems. The mysteries of numerically approximating the transforms are unraveled, and practical advice is offered on everything from sampling theory to fast algorithms. Chapters on key topics from digital holography to speckle metrology provide a window on the wealth of related applications.§§Linear canonical transformations have a wide range of applications. This volume will serve as a reference for researchers in the fields of optical system design and modeling, image and signal processing, and quantum optics. It will also 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.§
