Mathematical Methods In Science And Engineering Applications In Optics And Photonics First Edition
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Mathematical Methods In Science And Engineering Applications In Optics And Photonics First Edition
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Author : Masud Mansuripur
language : en
Publisher: Cognella Academic Publishing
Release Date : 2019-08-07
Mathematical Methods In Science And Engineering Applications In Optics And Photonics First Edition written by Masud Mansuripur and has been published by Cognella Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-07 with 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.
Mathematical Methods In Science And Engineering
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Author : Masud Mansuripur
language : en
Publisher:
Release Date : 2017
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 2017 with 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.
Mathematical Methods In Science And Engineering
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Author : Masud Mansuripur
language : en
Publisher:
Release Date : 2019-10-15
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 2019-10-15 with 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 direc
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 Modeling In Optical Science
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Author : Gang Bao
language : en
Publisher: SIAM
Release Date : 2001-01-01
Mathematical Modeling In Optical Science written by Gang Bao and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Science categories.
This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers. Each of the three topics is presented through a series of survey papers to provide a broad overview focusing on the mathematical models. Chapters present model problems, physical principles, mathematical and computational approaches, and engineering applications corresponding to each of the three areas. Although some of the subject matter is classical, the topics presented are new and represent the latest developments in their respective fields.
Numerical Methods In Photonics
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Author : Andrei V. Lavrinenko
language : en
Publisher: CRC Press
Release Date : 2018-09-03
Numerical Methods In Photonics written by Andrei V. Lavrinenko 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 Science categories.
Simulation and modeling using numerical methods is one of the key instruments in any scientific work. In the field of photonics, a wide range of numerical methods are used for studying both fundamental optics and applications such as design, development, and optimization of photonic components. Modeling is key for developing improved photonic devices and reducing development time and cost. Choosing the appropriate computational method for a photonics modeling problem requires a clear understanding of the pros and cons of the available numerical methods. Numerical Methods in Photonics presents six of the most frequently used methods: FDTD, FDFD, 1+1D nonlinear propagation, modal method, Green’s function, and FEM. After an introductory chapter outlining the basics of Maxwell’s equations, the book includes self-contained chapters that focus on each of the methods. Each method is accompanied by a review of the mathematical principles in which it is based, along with sample scripts, illustrative examples of characteristic problem solving, and exercises. MATLAB® is used throughout the text. This book provides a solid basis to practice writing your own codes. The theoretical formulation is complemented by sets of exercises, which allow you to grasp the essence of the modeling tools.
Mathematical Methods Of Quantum Optics
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Author : Ravinder R. Puri
language : en
Publisher: Springer
Release Date : 2012-11-02
Mathematical Methods Of Quantum Optics written by Ravinder R. Puri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-02 with Science categories.
Starting from first principles, this reference treats the theoretical aspects of quantum optics. It develops a unified approach for determining the dynamics of a two-level and three-level atom in combinations of quantized field under certain conditions.
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.