Mathematical Methods In Science And Engineering Applications In Optics And Photonics First Edition PDF Download
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| Author | : Masud Mansuripur |
| Publisher | : Cognella Academic Publishing |
| Total Pages | : |
| Release | : 2019-08-07 |
| Genre | : |
| ISBN | : 9781516535897 |
Download Mathematical Methods in Science and Engineering (Applications in Optics and Photonics) (First Edition) Book in PDF, ePub and Kindle
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.
| Author | : Gregory J. Gbur |
| Publisher | : Cambridge University Press |
| Total Pages | : 819 |
| Release | : 2011-01-06 |
| Genre | : Science |
| ISBN | : 1139492691 |
Download Mathematical Methods for Optical Physics and Engineering Book in PDF, ePub and Kindle
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.
| Author | : Gregory J. Gbur |
| Publisher | : |
| Total Pages | : 820 |
| Release | : 2011 |
| Genre | : Electronic books |
| ISBN | : 9780511916915 |
Download Mathematical Methods for Optical Physics and Engineering Book in PDF, ePub and Kindle
The first textbook on mathematical methods applied to optical science and engineering. Ideal for upper division undergraduates and graduates.
| Author | : Vasudevan Lakshminarayanan |
| Publisher | : CRC Press |
| Total Pages | : 630 |
| Release | : 2018-10-08 |
| Genre | : Science |
| ISBN | : 1439869618 |
Download Mathematical Optics Book in PDF, ePub and Kindle
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.
| Author | : Habib Ammari |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 509 |
| Release | : 2018-10-15 |
| Genre | : Photonics |
| ISBN | : 1470448009 |
Download Mathematical and Computational Methods in Photonics and Phononics Book in PDF, ePub and Kindle
The fields of photonics and phononics encompass the fundamental science of light and sound propagation and interactions in complex structures, as well as its technological applications. This book reviews new and fundamental mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics. An emphasis is placed on analyzing sub-wavelength resonators, super-focusing and super-resolution of electromagnetic and acoustic waves, photonic and phononic crystals, electromagnetic cloaking, and electromagnetic and elastic metamaterials and metasurfaces. Throughout this book, the authors demonstrate the power of layer potential techniques for solving challenging problems in photonics and phononics when they are combined with asymptotic analysis. This book might be of interest to researchers and graduate students working in the fields of applied and computational mathematics, partial differential equations, electromagnetic theory, elasticity, integral equations, and inverse and optimal design problems in photonics and phononics.
| Author | : Ravinder R. Puri |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 312 |
| Release | : 2001-01-18 |
| Genre | : Mathematics |
| ISBN | : 9783540678021 |
Download Mathematical Methods of Quantum Optics Book in PDF, ePub and Kindle
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.
| Author | : Bernard Maxum |
| Publisher | : SPIE Press |
| Total Pages | : 278 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 9780819455239 |
Download Field Mathematics for Electromagnetics, Photonics, and Materials Science Book in PDF, ePub and Kindle
The primary objective of this book is to offer a review of vector calculus needed for the physical sciences and engineering. This review includes necessary excursions into tensor analysis intended as the reader's first exposure to tensors, making aspects of tensors understandable at the undergraduate level.
| Author | : Keigo Iizuka |
| Publisher | : Springer |
| Total Pages | : 500 |
| Release | : 2013-04-17 |
| Genre | : Science |
| ISBN | : 3540368086 |
Download Engineering Optics Book in PDF, ePub and Kindle
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.
| Author | : Katsunari Okamoto |
| Publisher | : Elsevier |
| Total Pages | : 578 |
| Release | : 2010-08-04 |
| Genre | : Technology & Engineering |
| ISBN | : 0080455069 |
Download Fundamentals of Optical Waveguides Book in PDF, ePub and Kindle
Fundamentals of Optical Waveguides is an essential resource for any researcher, professional or student involved in optics and communications engineering. Any reader interested in designing or actively working with optical devices must have a firm grasp of the principles of lightwave propagation. Katsunari Okamoto has presented this difficult technology clearly and concisely with several illustrations and equations. Optical theory encompassed in this reference includes coupled mode theory, nonlinear optical effects, finite element method, beam propagation method, staircase concatenation method, along with several central theorems and formulas. Since the publication of the well-received first edition of this book, planar lightwave circuits and photonic crystal fibers have fully matured. With this second edition the advances of these fibers along with other improvements on existing optical technologies are completely detailed. This comprehensive volume enables readers to fully analyze, design and simulate optical atmospheres. Exceptional new chapter on Arrayed-Waveguide Grating (AWG) In-depth discussion of Photonic Crystal Fibers (PCFs) Thorough explanation of Multimode Interference Devices (MMI) Full coverage of polarization Mode Dispersion (PMD)
| Author | : K. F. Riley |
| Publisher | : Cambridge University Press |
| Total Pages | : 556 |
| Release | : 1974-10-03 |
| Genre | : Mathematics |
| ISBN | : 9780521098397 |
Download Mathematical Methods for the Physical Sciences Book in PDF, ePub and Kindle
Designed for first and second year undergraduates at universities and polytechnics, as well as technical college students.
