Mathematical Methods For Optical Physics And Engineering
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Mathematical Methods For Optical Physics And Engineering
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Author : Gregory J. Gbur
language : en
Publisher:
Release Date : 2011
Mathematical Methods For Optical Physics And Engineering written by Gregory J. Gbur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Electronic books categories.
The first textbook on mathematical methods applied to optical science and engineering. Ideal for upper division undergraduates and graduates.
Mathematical Methods For Optical Physics And Engineering
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Author : Gregory J. Gbur
language : en
Publisher: Cambridge University Press
Release Date : 2011-01-06
Mathematical Methods For Optical Physics And Engineering written by Gregory J. Gbur and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-06 with Science categories.
The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.
Mathematical Optics
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Author : Vasudevan Lakshminarayanan
language : en
Publisher: CRC Press
Release Date : 2018-10-08
Mathematical Optics written by Vasudevan Lakshminarayanan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Science categories.
Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.
Mathematical Methods In Science And Engineering
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Author : Masud Mansuripur
language : en
Publisher:
Release Date : 2019-08-07
Mathematical Methods In Science And Engineering written by Masud Mansuripur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-07 with Mathematics categories.
Mathematical Methods in Science and Engineering: Applications in Optics and Photonics helps students build a conceptual appreciation for critical mathematical methods, as well as the physical feel and intuition for select mathematical ideas. Throughout the text, examples are provided from the field of optics and photonics to clarify key concepts. The book features 13 targeted chapters that begin with a brief introduction to the topical area and then dive directly into the subject matter. Students learn about properties of numbers, methods of mathematical reasoning, Euclidean geometry, the fundamentals of complex number theory, and techniques to deal with finite as well as infinite sums and products. Dedicated chapters speak to key concepts of multivariate calculus, the properties of analytic functions of a complex variable, Fourier transformation, methods of solving partial differential equations, the Sturm-Liouville theory, and special functions, including Euler's gamma function, Riemann's zeta function, and the Airy and Bessel functions. Elementary matrix algebra, vector calculus, and probability, random variables, and stochastic processes are addressed. Mathematical Methods in Science and Engineering is well suited for graduate-level courses in optical sciences, physics, and engineering. Masud Mansuripur holds a doctorate in electrical engineering and master's degrees in mathematics and electrical engineering from Stanford University. He is a professor of optical sciences and chair of Optical Data Storage at the University of Arizona. Dr. Mansuripur is also the founder and president of MM Research, Inc., a company that develops and markets simulation software for the optics industry. His professional research interests include classical electrodynamics, problems associated with radiation pressure and photon momentum, interaction of light and matter, optical, magnetic, and macromolecular data storage, thin-film and multilayer optics, magneto-optical materials, and information theory and digital signal processing.
Princeton Companion To Applied Mathematics
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Author : Nicholas J. Higham
language : en
Publisher: Princeton University Press
Release Date : 2015-09-09
Princeton Companion To Applied Mathematics written by Nicholas J. Higham and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-09 with Mathematics categories.
The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
Wspc Handbook Of Astronomical Instrumentation The In 5 Volumes
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Author :
language : en
Publisher: World Scientific
Release Date : 2021-05-07
Wspc Handbook Of Astronomical Instrumentation The In 5 Volumes written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-07 with Science categories.
Our goal is to produce a comprehensive handbook of the current state of the art of astronomical instrumentation with a forward view encompassing the next decade. The target audience is graduate students with an interest in astronomical instrumentation, as well as practitioners interested in learning about the state of the art in another wavelength band or field closely related to the one in which they currently work. We assume a working knowledge of the fundamental theory: optics, semiconductor physics, etc. The purpose of this handbook is to bring together some of the leading experts in the world to discuss the frontier of astronomical instrumentation across the electromagnetic spectrum and extending into multimessenger astronomy.
Singular Optics
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Author : Gregory J. Gbur
language : en
Publisher: CRC Press
Release Date : 2016-11-17
Singular Optics written by Gregory J. Gbur and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-17 with Mathematics categories.
"This engagingly written text provides a useful pedagogical introduction to an extensive class of geometrical phenomena in the optics of polarization and phase, including simple explanations of much of the underlying mathematics." —Michael Berry, University of Bristol, UK "The author covers a vast number of topics in great detail, with a unifying mathematical treatment. It will be a useful reference for both beginners and experts...." —Enrique Galvez, Charles A. Dana Professor of Physics and Astronomy, Colgate University "a firm and comprehensive grounding both for those looking to acquaint themselves with the field and those of us that need reminding of the things we thought we knew, but hitherto did not understand: an essential point of reference." —Miles Padgett, Kelvin Chair of Natural Philosophy and Vice Principal (Research), University of Glasgow This book focuses on the various forms of wavefield singularities, including optical vortices and polarization singularities, as well as orbital angular momentum and associated applications. It highlights how an understanding of singular optics provides a completely different way to look at light. Whereas traditional optics focuses on the shape and structure of the non-zero portions of the wavefield, singular optics describes a wave’s properties from its null regions. The contents cover the three main areas of the field: the study of generic features of wavefields, determination of unusual properties of vortices and wavefields that contain singularities, and practical applications of vortices and other singularities.
Introduction To Matrix Methods In Optics
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Author : Anthony Gerrard
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01
Introduction To Matrix Methods In Optics written by Anthony Gerrard and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Science categories.
Clear, accessible guide requires little prior knowledge and considers just two topics: paraxial imaging and polarization. Lucid discussions of paraxial imaging properties of a centered optical system, optical resonators and laser beam propagation, matrices in polarization optics and propagation of light through crystals, much more. 60 illustrations. Appendixes. Bibliography.
Progress In Optics
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Author :
language : en
Publisher: Elsevier
Release Date : 2017-03-27
Progress In Optics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-27 with Science categories.
Progress in Optics, Volume 62, an ongoing series, contains more than 300 review articles by distinguished research workers that have become permanent records for many important developments. In this updated volume, users will find valuable updates on topics such as optical testing, the modern aspects of intensity interferometry with classical light, the generation of partially coherent beams, optical models and symmetries, and more. This book's contributions have become standard references in scientific articles, providing the state-of-the-art to researchers and practitioners who work in the field of optics. - Contains comprehensive, in-depth reviews - Includes contributions from leading authorities - Informs and updates on all the latest developments in the field - Presents timely and state-of-the-art reviews
Mathematical Methods For Physics And Engineering
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Author : K. F. Riley
language : en
Publisher: Cambridge University Press
Release Date : 2006-03-13
Mathematical Methods For Physics And Engineering written by K. F. Riley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-13 with Science categories.
The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.