Mathematical Methods in Science and Engineering (Applications in Optics and Photonics) (First Edition)

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Publisher : Cognella Academic Publishing
ISBN 13 : 9781516535897
Total Pages : pages
Book Rating : 4.5/5 (358 download)

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Book Synopsis Mathematical Methods in Science and Engineering (Applications in Optics and Photonics) (First Edition) by : Masud Mansuripur

Download or read book Mathematical Methods in Science and Engineering (Applications in Optics and Photonics) (First Edition) written by Masud Mansuripur and published by Cognella Academic Publishing. This book was released on 2019-08-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher :
ISBN 13 : 9781793503008
Total Pages : 347 pages
Book Rating : 4.5/5 (3 download)

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Book Synopsis MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING by : Masud Mansuripur

Download or read book MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING written by Masud Mansuripur and published by . This book was released on 2017 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher :
ISBN 13 : 9781516577088
Total Pages : 348 pages
Book Rating : 4.5/5 (77 download)

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Book Synopsis Mathematical Methods in Science and Engineering by : Masud Mansuripur

Download or read book Mathematical Methods in Science and Engineering written by Masud Mansuripur and published by . This book was released on 2019-10-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Cambridge University Press
ISBN 13 : 1139492691
Total Pages : 819 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Mathematical Methods for Optical Physics and Engineering by : Gregory J. Gbur

Download or read book Mathematical Methods for Optical Physics and Engineering written by Gregory J. Gbur and published by Cambridge University Press. This book was released on 2011-01-06 with total page 819 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Methods for Optical Physics and Engineering

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Publisher :
ISBN 13 : 9780511916915
Total Pages : 820 pages
Book Rating : 4.9/5 (169 download)

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Book Synopsis Mathematical Methods for Optical Physics and Engineering by : Gregory J. Gbur

Download or read book Mathematical Methods for Optical Physics and Engineering written by Gregory J. Gbur and published by . This book was released on 2011 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first textbook on mathematical methods applied to optical science and engineering. Ideal for upper division undergraduates and graduates.

Mathematical Optics

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Publisher : CRC Press
ISBN 13 : 1351832859
Total Pages : 632 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Mathematical Optics by : Vasudevan Lakshminarayanan

Download or read book Mathematical Optics written by Vasudevan Lakshminarayanan and published by CRC Press. This book was released on 2018-10-08 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : SIAM
ISBN 13 : 9780898717594
Total Pages : 349 pages
Book Rating : 4.7/5 (175 download)

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Book Synopsis Mathematical Modeling in Optical Science by : Gang Bao

Download or read book Mathematical Modeling in Optical Science written by Gang Bao and published by SIAM. This book was released on 2001-01-01 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods of Quantum Optics

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Publisher : Springer
ISBN 13 : 3540449531
Total Pages : 291 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Mathematical Methods of Quantum Optics by : Ravinder R. Puri

Download or read book Mathematical Methods of Quantum Optics written by Ravinder R. Puri and published by Springer. This book was released on 2012-11-02 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Methods in Photonics

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Publisher : CRC Press
ISBN 13 : 1466563893
Total Pages : 362 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Numerical Methods in Photonics by : Andrei V. Lavrinenko

Download or read book Numerical Methods in Photonics written by Andrei V. Lavrinenko and published by CRC Press. This book was released on 2018-09-03 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 for Physicists

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Publisher : Academic Press
ISBN 13 : 1483277828
Total Pages : 1008 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Methods for Physicists by : George B. Arfken

Download or read book Mathematical Methods for Physicists written by George B. Arfken and published by Academic Press. This book was released on 2013-10-22 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.

Singular Optics

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Publisher : CRC Press
ISBN 13 : 1315356686
Total Pages : 400 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Singular Optics by : Gregory J. Gbur

Download or read book Singular Optics written by Gregory J. Gbur and published by CRC Press. This book was released on 2016-11-17 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Engineering Optics

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Publisher : Springer
ISBN 13 : 3540368086
Total Pages : 500 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Engineering Optics by : Keigo Iizuka

Download or read book Engineering Optics written by Keigo Iizuka and published by Springer. This book was released on 2013-04-17 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this textbook was published only last year, and now, the publisher has decided to issue a paperback edition. This is intended to make the text more affordable to everyone who would like to broaden their knowledge of modem problems in optics. The aim of this book is to provide a basic understanding of the impor tant features of the various topics treated. A detailed study of all the sub jects comprising the field of engineering optics would fill several volumes. This book could perhaps be likened to a soup: it is easy to swallow, but sooner or later heartier sustenance is needed. It is my hope that this book will stimulate your appetite and prepare you for the banquet that could be yours. I would like to take this opportunity to thank those readers, especially Mr. Branislav Petrovic, who sent me appreciative letters and helpful com ments. These have encouraged me to introduce a few minor changes and improvements in this edition.

Mathematical Methods For Physicists International Student Edition

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Publisher : Elsevier
ISBN 13 : 0080470696
Total Pages : 1195 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Mathematical Methods For Physicists International Student Edition by : George B. Arfken

Download or read book Mathematical Methods For Physicists International Student Edition written by George B. Arfken and published by Elsevier. This book was released on 2005-07-05 with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. Updates the leading graduate-level text in mathematical physics Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering Focuses on problem-solving skills and offers a vast array of exercises Clearly illustrates and proves mathematical relations New in the Sixth Edition: Updated content throughout, based on users' feedback More advanced sections, including differential forms and the elegant forms of Maxwell's equations A new chapter on probability and statistics More elementary sections have been deleted

Mathematical Methods For Physicists

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Publisher : World Scientific
ISBN 13 : 9811201595
Total Pages : 478 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematical Methods For Physicists by : Danilo Babusci

Download or read book Mathematical Methods For Physicists written by Danilo Babusci and published by World Scientific. This book was released on 2019-10-02 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers different aspects of mathematical methods for Physics. It is designed for graduate courses but a part of it can also be used by undergraduate students. The leitmotiv of the book is the search for a common mathematical framework for a wide class of apparently disparate physical phenomena. An important role, within this respect, is provided by a nonconventional formulation of special functions and polynomials. The proposed methods simplify the understanding of the relevant technicalities and yield a unifying view to their applications in Physics as well as other branches of science.The chapters are not organized through the mathematical study of specific problems in Physics, rather they are suggested by the formalism itself. For example, it is shown how the matrix formalism is useful to treat ray Optics, atomic systems evolution, QED, QCD and Feynman diagrams. The methods presented here are simple but rigorous. They allow a fairly substantive tool of analysis for a variety of topics and are useful for beginners as well as the more experienced researchers.

Photonics

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Publisher : CRC Press
ISBN 13 : 1351838172
Total Pages : 1253 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Photonics by : Abdul Al-Azzawi

Download or read book Photonics written by Abdul Al-Azzawi and published by CRC Press. This book was released on 2017-12-19 with total page 1253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the invention of the laser, our fascination with the photon has led to one of the most dynamic and rapidly growing fields of technology. An explosion of new materials, devices, and applications makes it more important than ever to stay current with the latest advances. Surveying the field from fundamental concepts to state-of-the-art developments, Photonics: Principles and Practices builds a comprehensive understanding of the theoretical and practical aspects of photonics from the basics of light waves to fiber optics and lasers. Providing self-contained coverage and using a consistent approach, the author leads you step-by-step through each topic. Each skillfully crafted chapter first explores the theoretical concepts of each topic and then demonstrates how these principles apply to real-world applications by guiding you through experimental cases illuminated with numerous illustrations. Coverage is divided into six broad sections, systematically working through light, optics, waves and diffraction, optical fibers, fiber optics testing, and laboratory safety. A complete glossary, useful appendices, and a thorough list of references round out the presentation. The text also includes a 16-page insert containing 28 full-color illustrations. Containing several topics presented for the first time in book form, Photonics: Principles and Practices is simply the most modern, comprehensive, and hands-on text in the field.

The Mathematics Companion

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Publisher : CRC Press
ISBN 13 : 1466515880
Total Pages : 295 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis The Mathematics Companion by : Anthony C. Fischer-Cripps

Download or read book The Mathematics Companion written by Anthony C. Fischer-Cripps and published by CRC Press. This book was released on 2014-08-14 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything You Need to Know about Mathematics for Science and EngineeringUpdated and expanded with new topics, The Mathematics Companion: Mathematical Methods for Physicists and Engineers, 2nd Edition presents the essential core of mathematical principles needed by scientists and engineers. Starting from the basic concepts of trigonometry, the book

Optics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387261680
Total Pages : 459 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Optics by : Karl Dieter Moeller

Download or read book Optics written by Karl Dieter Moeller and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition is intended for a one semester course in optics for juniors and seniors in science and engineering. It uses scripts from Maple, MathCad, Mathematica, and MATLAB to provide a simulated laboratory where students can learn by exploration and discovery instead of passive absorption. The text covers all the standard topics of a traditional optics course. It contains step by step derivations of all basic formulas in geometrical, wave and Fourier optics. The threefold arrangement of text, applications, and files makes the book suitable for "self-learning" by scientists or engineers who would like to refresh their knowledge of optics.