Mathematical Modeling In Optical Science
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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.
Mathematical Models In Photographic Science
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Author : Avner Friedman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Models In Photographic Science written by Avner Friedman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book presents mathematical models that arise in current photographic science. The book contains seventeen chapters, each dealing with one area of photographic science, and a final chapter containing exercises. Each chapter, except the two introductory chapters, begin with general background information at a level understandable by graduate and undergraduate students. It then proceeds to develop a mathematical model, using mathematical tools such as ordinary differential equations, partial differential equations, and stochastic processes. Next, some mathematical results are mentioned, often providing a partial solution to problems raised by the model. Finally, most chapters include open problems. The last chapter of the book contains "Modeling and Applied Mathematics" exercises based on the material presented in the earlier chapters. These exercises are intended primarily for graduate students and advanced undergraduates.
Mathematical Modeling In Biomedical Imaging Ii
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Author : Habib Ammari
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-10
Mathematical Modeling In Biomedical Imaging Ii written by Habib Ammari and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-10 with Mathematics categories.
This volume reports on recent mathematical and computational advances in optical, ultrasound, and opto-acoustic tomographies. It outlines the state-of-the-art and future directions in these fields and provides readers with the most recently developed mathematical and computational tools. It is particularly suitable for researchers and graduate students in applied mathematics and biomedical engineering.
Mathematical Principles Of Optical Fiber Communication
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Author : J. K. Shaw
language : en
Publisher: SIAM
Release Date : 2004-05-01
Mathematical Principles Of Optical Fiber Communication written by J. K. Shaw and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-01 with Mathematics categories.
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.
Geometric Optics
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Author : Antonio Romano
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-10
Geometric Optics written by Antonio Romano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-10 with Science categories.
This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®. Replete with workout examples and exercises, Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics.
Mathematical Modeling In Biomedical Imaging Ii
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Author : Habib Ammari
language : en
Publisher: Springer
Release Date : 2011-09-17
Mathematical Modeling In Biomedical Imaging Ii written by Habib Ammari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-17 with Mathematics categories.
This volume reports on recent mathematical and computational advances in optical, ultrasound, and opto-acoustic tomographies. It outlines the state-of-the-art and future directions in these fields and provides readers with the most recently developed mathematical and computational tools. It is particularly suitable for researchers and graduate students in applied mathematics and biomedical engineering.
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.
Photonic Crystals
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Author : Igor A. Sukhoivanov
language : en
Publisher: Springer
Release Date : 2009-09-21
Photonic Crystals written by Igor A. Sukhoivanov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-21 with Science categories.
The great interest in photonic crystals and their applications in the last 15 years is being expressed in the publishing of a large number of monographs, collections, textbooks and tutorials, where existing knowledge concerning - eration principles of photonic crystal devices and microstructured ?bers, their mathematicaldescription,well-knownandnovelapplicationsofsuchtechno- gies in photonics and optical communications are presented. They challenges authors of new books to cover the gaps still existing in the literature and highlight and popularize of already known material in a new and original manner. Authorsofthisbookbelievethatthenextsteptowardswideapplicationof photoniccrystalsisthesolutionofmanypracticalproblemsofdesignandc- putation of the speci?c photonic crystal-based devices aimed at the speci?c technicalapplication.Inordertomakethisstep,itisnecessarytoincreasethe number of practitioners who can solve such problems independently. The aim of this book is to extend the group of researchers, developers and students, who could practically use the knowledge on the physics of photonic crystals together with the knowledge and skills of independent calculation of basic characteristics of photonic crystals and modeling of various elements of - tegrated circuits and optical communication systems created on the basis of photonic crystals. The book is intended for quali?ed readers, specialists in the ?eld of optics and photonics, students of higher courses, master degree students and PhD students. As an introduction to the snopest, the book contains the basics of wave optics and radiation propagation in simple guiding media such as planar waveguides and step-index ?bers.
New Directions In Guided Wave And Coherent Optics
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Author : D.B. Ostrowsky
language : en
Publisher: Springer
Release Date : 1971-01-31
New Directions In Guided Wave And Coherent Optics written by D.B. Ostrowsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-31 with Technology & Engineering categories.
As optical fiber communication systems have moved out of the laboratory and into commercial use over the past several years, the general field of guided wave and coherent optics has undergone a radical transformation. Research in optical communication has turned heavily towards single-mode technology and, totally new phenomena and applications of the existing technology, outside the communication field, have begun to proliferate. It was for this reason that we decided to organize a NATO Advanced Study Institute assembling the leading workers in this new domain, in order to define the state of the art, and, develop an idea of the new directions the field might take. The lectures and seminars presented at this Advanced Study Institute form the basis for this book. The subjects treated can be roughly grouped as : - New phenomena in optical fibers such as non-linear effects, soliton propagation and polarization conservation. - New applications of fibers, to measurements of rotation pressure, temperature etc ... and medical uses. - Advanced and exploratory work on single-mode fiber communica tion systems including the use of coherent transmission schemes and optical amplification. - Recent developments of optical information treatment based on four-wave mixing. - Integrated optical devices and technologies including bistable devices, parametric oscillators, and optical logic. In addition to these major topics, a number of national reviews and specialized seminars treating new guided wave structures and materials are included. The co-editors admit being rather pleased with the result.
Mathematical Modelling Optimization Analytic And Numerical Solutions
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Author : Pammy Manchanda
language : en
Publisher: Springer Nature
Release Date : 2020-02-04
Mathematical Modelling Optimization Analytic And Numerical Solutions written by Pammy Manchanda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-04 with Mathematics categories.
This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry. It features papers presented at the International Conference in Conjunction with 14th Biennial Conference of ISIAM, held at Guru Nanak Dev University, Amritsar, India, on 2–4 February 2018. The conference has emerged as an influential forum, bringing together prominent academic scientists, experts from industry, and researchers. The topics discussed include Schrodinger operators, quantum kinetic equations and their application, extensions of fractional integral transforms, electrical impedance tomography, diffuse optical tomography, Galerkin method by using wavelets, a Cauchy problem associated with Korteweg–de Vries equation, and entropy solution for scalar conservation laws. This book motivates and inspires young researchers in the fields of industrial and applied mathematics.