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Mathematical Devices for Optical Sciences

Mathematical Devices for Optical Sciences
Author: Sibel Başkal
Publisher:
Total Pages: 0
Release: 2019
Genre: Optics
ISBN: 9780750316132

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"The Lorentz group which is the underlying scientific language for modern optics has been most notably used for understanding Einstein's special relativity. By using a simplified approach of two-by-two matrices and Wigner functions, this book provides a basic and novel approach to classical and quantum optics, making these often-difficult subjects more transparent to the reader. Written by three experts in the field, Professors Sibel Baðskal, Young S. Kim, and Marilyn E Noz, this book will give the reader a comprehensive overview of how fundamental issues in quantum mechanics can be approached using various optical instruments, Wigner functions, and quantum entanglement." -- Prové de l'editor.


Mathematical Optics

Mathematical Optics
Author: Vasudevan Lakshminarayanan
Publisher: CRC Press
Total Pages: 632
Release: 2012-12-14
Genre: Science
ISBN: 143986960X

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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 for Optical Physics and Engineering

Mathematical Methods for Optical Physics and Engineering
Author: Gregory J. Gbur
Publisher: Cambridge University Press
Total Pages: 819
Release: 2011-01-06
Genre: Science
ISBN: 1139492691

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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 Modeling in Optical Science

Mathematical Modeling in Optical Science
Author: Gang Bao
Publisher: SIAM
Total Pages: 349
Release: 2001-01-01
Genre: Science
ISBN: 9780898717594

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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 in Science and Engineering

Mathematical Methods in Science and Engineering
Author: Masud Mansuripur
Publisher:
Total Pages: 348
Release: 2019-10-15
Genre:
ISBN: 9781516577088

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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 Modeling in Optical Science

Mathematical Modeling in Optical Science
Author: Gang Bao
Publisher: SIAM
Total Pages: 344
Release: 2001-01-01
Genre: Science
ISBN: 0898714753

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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.


New Computation Methods for Geometrical Optics

New Computation Methods for Geometrical Optics
Author: Psang Dain Lin
Publisher: Springer
Total Pages: 247
Release: 2013-10-01
Genre: Science
ISBN: 9814451797

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This book employs homogeneous coordinate notation to compute the first- and second-order derivative matrices of various optical quantities. It will be one of the important mathematical tools for automatic optical design. The traditional geometrical optics is based on raytracing only. It is very difficult, if possible, to compute the first- and second-order derivatives of a ray and optical path length with respect to system variables, since they are recursive functions. Consequently, current commercial software packages use a finite difference approximation methodology to estimate these derivatives for use in optical design and analysis. Furthermore, previous publications of geometrical optics use vector notation, which is comparatively awkward for computations for non-axially symmetrical systems.


Photonic Devices and Systems

Photonic Devices and Systems
Author: Robert G. Hunsperger
Publisher: Routledge
Total Pages: 445
Release: 2017-10-19
Genre: Science
ISBN: 1351424858

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This work describes all the major devices used in photonic systems. It provides a thorough overview of the field of photonics, detailing practical examples of photonic technology in a wide range of applications. Photonic systems and devices are discussed with a mathematical rigor that is precise enough for design purposes yet highly readable.


Mathematical Methods of Quantum Optics

Mathematical Methods of Quantum Optics
Author: Ravinder R. Puri
Publisher: Springer
Total Pages: 291
Release: 2012-11-02
Genre: Science
ISBN: 3540449531

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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.