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000752827 24500 $$aLinear canonical transforms$$h[electronic resource] :$$btheory and applications /$$cJohn J. Healy, M. Alper Kutay, Haldun M. Ozaktas, John T. Sheridan, editors.
000752827 264_1 $$aNew York, NY :$$bSpringer,$$c2016.
000752827 300__ $$a1 online resource (xvi, 453 pages) :$$billustrations.
000752827 336__ $$atext$$btxt$$2rdacontent
000752827 337__ $$acomputer$$bc$$2rdamedia
000752827 338__ $$aonline resource$$bcr$$2rdacarrier
000752827 347__ $$atext file$$bPDF$$2rda
000752827 4901_ $$aSpringer series in optical sciences,$$x0342-4111 ;$$vv. 198
000752827 5050_ $$aForeword -- PART I : Fundamentals -- Development of linear canonical transforms -- a historical sketch -- The linear canonical transformation: definition and properties -- Eigenfunctions of the linear canonical transform -- Uncertainty principles and the linear canonical transform -- The linear canonical transformations in classical optics -- Optical Implementation of Linear Canonical Transforms -- PART II : Discretization and Computation -- Linear canonical domains and degrees of freedom of signals and systems -- Sampling and discrete linear canonical transforms -- Self-imaging and discrete paraxial optics -- Fast algorithms for digital computation of linear canonical transforms -- PART III : Applications -- Deterministic phase retrieval using the LCT -- Analyzing digital holographic systems with the LCT -- Double random phase encoding based optical encryption systems using some linear canonical transforms: weaknesses and countermeasures -- Complex valued ABCD Matrices -- Linear canonical transforms on quantum states of light.
000752827 506__ $$aAccess limited to authorized users.
000752827 520__ $$aThis book provides a clear and accessible introduction to the essential mathematical foundations of linear canonical transforms from a signals and systems perspective. Substantial attention is devoted to how these transforms relate to optical systems and wave propagation. There is extensive coverage of sampling theory and fast algorithms for numerically approximating the family of transforms. Chapters on topics ranging from digital holography to speckle metrology provide a window on the wide range of applications. This volume will serve as a reference for researchers in the fields of image and signal processing, wave propagation, optical information processing and holography, optical system design and modeling, and quantum optics. It will be of use to graduate students in physics and engineering, as well as for scientists in other areas seeking to learn more about this important yet relatively unfamiliar class of integral transformations.
000752827 650_0 $$aIntegral transforms.
000752827 650_0 $$aPhysics.
000752827 650_0 $$aCalculus, Operational.
000752827 650_0 $$aOptics.
000752827 650_0 $$aElectrodynamics.
000752827 650_0 $$aMicrowaves.
000752827 650_0 $$aOptical engineering.
000752827 7001_ $$aHealy, John J.$$eeditor.
000752827 7001_ $$aAlper Kutay, M.$$eeditor.
000752827 7001_ $$aOzaktas, Haldun M.$$eeditor.
000752827 7001_ $$aSheridan, John T.$$eeditor.
000752827 77608 $$iPrint version:$$z9781493930272
000752827 830_0 $$aSpringer series in optical sciences ;$$v198.
000752827 85280 $$bebk$$hSpringerLink
000752827 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-1-4939-3028-9$$zOnline Access$$91397441.1
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