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Systems And Transforms With Applications In Optics


Systems And Transforms With Applications In Optics
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Systems And Transforms With Applications In Optics


Systems And Transforms With Applications In Optics
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Author : Athanasios Papoulis
language : en
Publisher:
Release Date : 1981

Systems And Transforms With Applications In Optics written by Athanasios Papoulis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.




Linear Systems Fourier Transforms And Optics


Linear Systems Fourier Transforms And Optics
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Author : Jack D. Gaskill
language : en
Publisher: John Wiley & Sons
Release Date : 1978-06-16

Linear Systems Fourier Transforms And Optics written by Jack D. Gaskill and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-06-16 with Science categories.


A complete and balanced account of communication theory, providing an understanding of both Fourier analysis (and the concepts associated with linear systems) and the characterization of such systems by mathematical operators. Presents applications of the theories to the diffraction of optical wave-fields and the analysis of image-forming systems. Emphasizes a strong mathematical foundation and includes an in-depth consideration of the phenomena of diffraction. Combines all theories to describe the image-forming process in terms of a linear filtering operation for both coherent and incoherent imaging. Chapters provide carefully designed sets of problems. Also includes extensive tables of properties and pairs of Fourier transforms and Hankle Transforms.



The Fractional Fourier Transform


The Fractional Fourier Transform
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Author : Haldun M. Ozaktas
language : en
Publisher: John Wiley & Sons
Release Date : 2001-02-08

The Fractional Fourier Transform written by Haldun M. Ozaktas and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-08 with Mathematics categories.


The discovery of the Fractional Fourier Transform by the editors provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems.



Application Of Optical Fourier Transforms


Application Of Optical Fourier Transforms
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Author : Henry Stark
language : en
Publisher: Elsevier
Release Date : 2012-12-02

Application Of Optical Fourier Transforms written by Henry Stark and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.


Applications of Optical Fourier Transforms is a 12-chapter text that discusses the significant achievements in Fourier optics. The opening chapters discuss the Fourier transform property of a lens, the theory and applications of complex spatial filters, and their application to signal detection, character recognition, water pollution monitoring, and other pattern recognition problems. These topics are followed by a computation of the statistical characteristics of the Fourier irradiance patterns and the hybrid systems that combine the best of optics, analog electronics, and digital computers to solve problems. The subsequent chapters examine the pulse-Doppler and chirp signals, the significance of signal-to-noise power spectrum in the information content measurement of photographic film and in image quality determinations. This text also considers the application of nonlinear systems and their components to Fourier optics. The discussions then shift to the application of Fourier methods to the study of spatial information transmission through the human visual system, as well as the application of coherent techniques to vision research. The concluding chapters deal with the well-known pattern recognition problems related to the digital signal processing community. These chapters also look into a general theoretical model of light field propagation from input to output. This book will be of value to optical scientists and vision researchers.



Transforms And Applications Handbook


Transforms And Applications Handbook
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Author : Alexander D. Poularikas
language : en
Publisher: CRC Press
Release Date : 2018-09-03

Transforms And Applications Handbook written by Alexander D. Poularikas and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Mathematics categories.


Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications. Revisiting transforms previously covered, this book adds information on other important ones, including: Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite Fraction Fourier Zak Continuous and discrete Chirp-Fourier Multidimensional discrete unitary Hilbert-Huang Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.



Introduction To The Optical Transfer Function


Introduction To The Optical Transfer Function
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Author : Charles Sumner Williams
language : en
Publisher: SPIE Press
Release Date : 2002

Introduction To The Optical Transfer Function written by Charles Sumner Williams and has been published by SPIE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.


This work covers spatial frequency, spread function, wave aberration, and transfer function - and how these concepts are related in an optical system, how they are measured and calculated, and how they may be useful.



Applications Of Optical Fourier Transforms


Applications Of Optical Fourier Transforms
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Author : Henry Stark
language : en
Publisher:
Release Date : 1982

Applications Of Optical Fourier Transforms written by Henry Stark and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.


Theory and measurement of the optical fourier transform; Pattern recognition via complex spatial filtering; Particle identification and couting by fourier-optical pattern recognition; Signal processing using hybrid systems; Fourier optics and radar signal processing; Application of optical power spectra to photography image measurement; Fourier optics and SAW devices; Space-variant optical systems and processing; Fourier optics in nonlinear signal processing; Optical information processing and the human visual systems; Statistical pattern recognition using optical fourier transform features.



Principles And Applications Of Fourier Optics


Principles And Applications Of Fourier Optics
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Author : Robert K. Tyson
language : en
Publisher: Inst of Physics Pub Incorporated
Release Date : 2014-08-22

Principles And Applications Of Fourier Optics written by Robert K. Tyson and has been published by Inst of Physics Pub Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Science categories.


Fourier optics, being a staple of optical design and analysis for over 50 years, has produced many new applications in recent years. In this text, Bob Tyson presents the fundamentals of Fourier optics with sufficient detail to educate the reader, typically an advanced student or working scientist or engineer, to the level of applying the knowledge to a specific set of design or analysis problems. Well aware that many of the mathematical techniques used in the field can now be solved digitally, the book will point to those methods or applicable computer software available to the reader.



Field Guide To Linear Systems In Optics


Field Guide To Linear Systems In Optics
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Author : J. Scott Tyo
language : en
Publisher:
Release Date : 2015-01-21

Field Guide To Linear Systems In Optics written by J. Scott Tyo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-21 with Technology & Engineering categories.


“Linear systems” is a broad and important area in many scientific and engineering disciplines, and it is especially important in optics because it forms the basis for Fourier optics, diffraction theory, image-quality assessment, and many other areas. This Field Guide provides the practicing optical engineer with a reference for the basic concepts and techniques of linear systems, including Fourier series, continuous and discrete Fourier transforms, convolution, sampling and aliasing, and MTF/PSF using the language, notation, and applications from optics, imaging, and diffraction.



Linear Canonical Transforms


Linear Canonical Transforms
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Author : John J. Healy
language : en
Publisher: Springer
Release Date : 2015-11-26

Linear Canonical Transforms written by John J. Healy and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-26 with Science categories.


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.