Mathematical Modeling In Optical Science

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Mathematical Modeling in Optical Science

Author : Gang Bao
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 Models in Photographic Science

Author : Avner Friedman
Publisher : Springer Science & Business Media
ISBN 13 : 3642557554
Total Pages : 188 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Mathematical Models in Photographic Science by : Avner Friedman

Download or read book Mathematical Models in Photographic Science written by Avner Friedman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Habib Ammari
Publisher : Springer Science & Business Media
ISBN 13 : 3642229891
Total Pages : 170 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Mathematical Modeling in Biomedical Imaging II by : Habib Ammari

Download or read book Mathematical Modeling in Biomedical Imaging II written by Habib Ammari and published by Springer Science & Business Media. This book was released on 2011-09-10 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : J. K. Shaw
Publisher : SIAM
ISBN 13 : 0898715563
Total Pages : 103 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Principles of Optical Fiber Communication by : J. K. Shaw

Download or read book Mathematical Principles of Optical Fiber Communication written by J. K. Shaw and published by SIAM. This book was released on 2004-05-01 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modeling and Computational Science

Author : Gheorghe Adam
Publisher : Springer
ISBN 13 : 3642282121
Total Pages : 346 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Mathematical Modeling and Computational Science by : Gheorghe Adam

Download or read book Mathematical Modeling and Computational Science written by Gheorghe Adam and published by Springer. This book was released on 2012-02-21 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post-proceedings of the International Conference on Mathematical Modeling and Computational Physics, MMCP 2011, held in Stará Lesná, Slovakia, in July 2011. The 41 revised papers presented were carefully reviewed and selected from numerous submissions. They are organized in topical sections on mathematical modeling and methods, numerical modeling and methods, computational support of the experiments, computing tools, and optimization and simulation.

Handbook of Mathematical Models in Computer Vision

Author : Nikos Paragios
Publisher : Springer Science & Business Media
ISBN 13 : 0387288317
Total Pages : 612 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Handbook of Mathematical Models in Computer Vision by : Nikos Paragios

Download or read book Handbook of Mathematical Models in Computer Vision written by Nikos Paragios and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract Biological vision is a rather fascinating domain of research. Scientists of various origins like biology, medicine, neurophysiology, engineering, math ematics, etc. aim to understand the processes leading to visual perception process and at reproducing such systems. Understanding the environment is most of the time done through visual perception which appears to be one of the most fundamental sensory abilities in humans and therefore a significant amount of research effort has been dedicated towards modelling and repro ducing human visual abilities. Mathematical methods play a central role in this endeavour. Introduction David Marr's theory v^as a pioneering step tov^ards understanding visual percep tion. In his view human vision was based on a complete surface reconstruction of the environment that was then used to address visual subtasks. This approach was proven to be insufficient by neuro-biologists and complementary ideas from statistical pattern recognition and artificial intelligence were introduced to bet ter address the visual perception problem. In this framework visual perception is represented by a set of actions and rules connecting these actions. The emerg ing concept of active vision consists of a selective visual perception paradigm that is basically equivalent to recovering from the environment the minimal piece information required to address a particular task of interest.

Mathematical Modelling, Optimization, Analytic and Numerical Solutions

Author : Pammy Manchanda
Publisher : Springer Nature
ISBN 13 : 981150928X
Total Pages : 431 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Mathematical Modelling, Optimization, Analytic and Numerical Solutions by : Pammy Manchanda

Download or read book Mathematical Modelling, Optimization, Analytic and Numerical Solutions written by Pammy Manchanda and published by Springer Nature. This book was released on 2020-02-04 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Optics

Author : Antonio Romano
Publisher : Birkhäuser
ISBN 13 : 3319437321
Total Pages : 289 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Geometric Optics by : Antonio Romano

Download or read book Geometric Optics written by Antonio Romano and published by Birkhäuser. This book was released on 2016-09-26 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Methods of Quantum Optics

Author : Ravinder R. Puri
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.

Mathematical Modeling in Biomedical Imaging II

Author : Habib Ammari
Publisher : Springer
ISBN 13 : 9783642229916
Total Pages : 160 pages
Book Rating : 4.2/5 (299 download)

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Book Synopsis Mathematical Modeling in Biomedical Imaging II by : Habib Ammari

Download or read book Mathematical Modeling in Biomedical Imaging II written by Habib Ammari and published by Springer. This book was released on 2011-09-17 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Optics

Author : Antonio Romano
Publisher : Springer Science & Business Media
ISBN 13 : 0817648720
Total Pages : 228 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Geometric Optics by : Antonio Romano

Download or read book Geometric Optics written by Antonio Romano and published by Springer Science & Business Media. This book was released on 2009-10-10 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Pulling Rabbits Out of Hats

Author : David Wollkind
Publisher : CRC Press
ISBN 13 : 9781003195603
Total Pages : 538 pages
Book Rating : 4.1/5 (956 download)

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Book Synopsis Pulling Rabbits Out of Hats by : David Wollkind

Download or read book Pulling Rabbits Out of Hats written by David Wollkind and published by CRC Press. This book was released on 2021 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Pulling Rabbits Out of Hats: Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences focuses on those assumptions made during applied mathematical modeling in which the phenomenological data and the model predictions are self-consistent. This comprehensive reference demonstrates how to employ a variety of mathematical techniques to quantify a number of problems from the material, biophysical, fluid mechanical, and chemical sciences. In doing so, methodology of modelling, analysis, and result generation are all covered"--

Numerical Methods in Photonics

Author : Andrei V. Lavrinenko
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 Optics

Author : Vasudevan Lakshminarayanan
Publisher : CRC Press
ISBN 13 : 1439869618
Total Pages : 630 pages
Book Rating : 4.4/5 (398 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 630 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 and Simulation

Author : Kai Velten
Publisher : John Wiley & Sons
ISBN 13 : 3527627618
Total Pages : 362 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Mathematical Modeling and Simulation by : Kai Velten

Download or read book Mathematical Modeling and Simulation written by Kai Velten and published by John Wiley & Sons. This book was released on 2009-06-01 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).

Mathematical Methods in Liquid Crystal Optics and Lens Design

Author : Eric Stachura
Publisher : Springer Nature
ISBN 13 : 3031466144
Total Pages : 284 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Mathematical Methods in Liquid Crystal Optics and Lens Design by : Eric Stachura

Download or read book Mathematical Methods in Liquid Crystal Optics and Lens Design written by Eric Stachura and published by Springer Nature. This book was released on with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Photonic Crystals

Author : Igor A. Sukhoivanov
Publisher : Springer
ISBN 13 : 364202646X
Total Pages : 254 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Photonic Crystals by : Igor A. Sukhoivanov

Download or read book Photonic Crystals written by Igor A. Sukhoivanov and published by Springer. This book was released on 2009-09-21 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.