Mathematical Devices for Optical Sciences
Mathematical Devices for Optical Sciences

Author: Sibel Başkal

Publisher:

Published: 2019

Total Pages: 0

ISBN-13: 9780750316132

DOWNLOAD EBOOK

"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 Methods for Optical Physics and Engineering
Mathematical Methods for Optical Physics and Engineering

Author: Gregory J. Gbur

Publisher: Cambridge University Press

Published: 2011-01-06

Total Pages: 819

ISBN-13: 1139492691

DOWNLOAD EBOOK

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
Mathematical Optics

Author: Vasudevan Lakshminarayanan

Publisher: CRC Press

Published: 2012-12-14

Total Pages: 632

ISBN-13: 143986960X

DOWNLOAD EBOOK

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
Mathematical Methods in Science and Engineering

Author: Masud Mansuripur

Publisher:

Published: 2019-10-15

Total Pages: 348

ISBN-13: 9781516577088

DOWNLOAD EBOOK

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

Photonic Devices and Systems
Photonic Devices and Systems

Author: Robert G. Hunsperger

Publisher: Routledge

Published: 2017-10-19

Total Pages: 445

ISBN-13: 1351424858

DOWNLOAD EBOOK

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 Modeling in Optical Science
Mathematical Modeling in Optical Science

Author: Gang Bao

Publisher: SIAM

Published: 2001-01-01

Total Pages: 349

ISBN-13: 9780898717594

DOWNLOAD EBOOK

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.

Physics of the Lorentz Group
Physics of the Lorentz Group

Author: Sibel Baskal

Publisher: Morgan & Claypool Publishers

Published: 2015-11-01

Total Pages: 173

ISBN-13: 1681740621

DOWNLOAD EBOOK

This book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincaré sphere on polarization optics.

Mathematical Principles of Optical Fiber Communication
Mathematical Principles of Optical Fiber Communication

Author: J. K. Shaw

Publisher: SIAM

Published: 2004-05-01

Total Pages: 103

ISBN-13: 0898715563

DOWNLOAD EBOOK

This book is intended to support and promote interdisciplinary research in optical fiber communications by providing essential background in both the physical and mathematical principles of the discipline. It is written to be as independent as possible while taking the reader to the frontiers of research on fiber optics communications.