Numerical Methods In Photonics

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Numerical Methods in Photonics

Author : Andrei V. Lavrinenko,Jesper Lægsgaard,Niels Gregersen,Frank Schmidt,Thomas Søndergaard
Publisher : CRC Press
Page : 362 pages
File Size : 55,6 Mb
Release : 2018-09-03
Category : Science
ISBN : 9781466563896

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Numerical Methods in Photonics by Andrei V. Lavrinenko,Jesper Lægsgaard,Niels Gregersen,Frank Schmidt,Thomas Søndergaard Pdf

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.

Numerical Methods in Photonics

Author : Andrei V. Lavrinenko,Jesper Lægsgaard,Niels Gregersen,Frank Schmidt,Thomas Søndergaard
Publisher : CRC Press
Page : 206 pages
File Size : 51,9 Mb
Release : 2018-09-03
Category : Science
ISBN : 9781351832007

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Numerical Methods in Photonics by Andrei V. Lavrinenko,Jesper Lægsgaard,Niels Gregersen,Frank Schmidt,Thomas Søndergaard Pdf

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.

Computational Photonics

Author : Marek S. Wartak
Publisher : Cambridge University Press
Page : 467 pages
File Size : 54,5 Mb
Release : 2013-01-10
Category : Science
ISBN : 9781139851404

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Computational Photonics by Marek S. Wartak Pdf

A comprehensive manual on the efficient modeling and analysis of photonic devices through building numerical codes, this book provides graduate students and researchers with the theoretical background and MATLAB programs necessary for them to start their own numerical experiments. Beginning by summarizing topics in optics and electromagnetism, the book discusses optical planar waveguides, linear optical fiber, the propagation of linear pulses, laser diodes, optical amplifiers, optical receivers, finite-difference time-domain method, beam propagation method and some wavelength division devices, solitons, solar cells and metamaterials. Assuming only a basic knowledge of physics and numerical methods, the book is ideal for engineers, physicists and practising scientists. It concentrates on the operating principles of optical devices, as well as the models and numerical methods used to describe them.

Mathematical and Computational Methods in Photonics and Phononics

Author : Habib Ammari,Brian Fitzpatrick,Hyeonbae Kang,Matias Ruiz,Sanghyeon Yu,Hai Zhang
Publisher : American Mathematical Soc.
Page : 509 pages
File Size : 47,5 Mb
Release : 2018-10-15
Category : Photonics
ISBN : 9781470448004

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Mathematical and Computational Methods in Photonics and Phononics by Habib Ammari,Brian Fitzpatrick,Hyeonbae Kang,Matias Ruiz,Sanghyeon Yu,Hai Zhang Pdf

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.

Computational Photonics

Author : Marek S. Wartak
Publisher : Unknown
Page : 452 pages
File Size : 43,5 Mb
Release : 2013
Category : MATLAB.
ISBN : 1139842323

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Computational Photonics by Marek S. Wartak Pdf

"A comprehensive manual on the efficient modeling and analysis of photonic devices through building numerical codes, this book provides graduate students and researchers with the theoretical background and MATLAB programs necessary for them to start their own numerical experiments. Beginning by summarizing topics in optics and electromagnetism, the book discusses optical planar waveguides, linear optical fiber, the propagation of linear pulses, laser diodes, optical amplifiers, optical receivers, finite-difference time-domain method, beam propagation method and some wavelength division devices, solitons, solar cells and metamaterials. Assuming only a basic knowledge of physics and numerical methods, the book is ideal for engineers, physicists and practicing scientists. It concentrates on the operating principles of optical devices, as well as the models and numerical methods used to describe them"--

Recent Trends in Computational Photonics

Author : Arti Agrawal,Trevor Benson,Richard M. De La Rue,Gregory A. Wurtz
Publisher : Springer
Page : 405 pages
File Size : 43,8 Mb
Release : 2017-11-01
Category : Science
ISBN : 9783319554389

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Recent Trends in Computational Photonics by Arti Agrawal,Trevor Benson,Richard M. De La Rue,Gregory A. Wurtz Pdf

This book brings together the recent cutting-edge work on computational methods in photonics and their applications. The latest advances in techniques such as the Discontinuous Galerkin Time Domain method, Finite Element Time Domain method, Finite Difference Time Domain method as well as their applications are presented. Key aspects such as modelling of non-linear effects (Second Harmonic Generation, lasing in fibers, including gain nonlinearity in metamaterials), the acousto-optic effect, and the hydrodynamic model to explain electron response in nanoplasmonic structures are included. The application areas covered include plasmonics, metamaterials, photonic crystals, dielectric waveguides, fiber lasers. The chapters give a representative survey of the corresponding area.

Computational Photonics

Author : Marek S.Wartak
Publisher : Unknown
Page : 464 pages
File Size : 53,8 Mb
Release : 2012
Category : Electronic
ISBN : OCLC:1137352203

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Computational Photonics by Marek S.Wartak Pdf

A comprehensive manual on the efficient modeling and analysis of photonic devices through building numerical codes, this book provides graduate students and researchers with the theoretical background and MATLAB programs necessary for them to start their own numerical experiments. Beginning by summarizing topics in optics and electromagnetism, the book discusses optical planar waveguides, linear optical fiber, the propagation of linear pulses, laser diodes, optical amplifiers, optical receivers, finite-difference time-domain method, beam propagation method and some wavelength division devices, solitons, solar cells and metamaterials. Assuming only a basic knowledge of physics and numerical methods, the book is ideal for engineers, physicists and practising scientists. It concentrates on the operating principles of optical devices, as well as the models and numerical methods used to describe them.

Computational Photonics

Author : Salah Obayya
Publisher : John Wiley & Sons
Page : 268 pages
File Size : 52,7 Mb
Release : 2011-06-20
Category : Science
ISBN : 9781119957508

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Computational Photonics by Salah Obayya Pdf

This book explores the state-of-the art in computational modelling techniques for photonic devices In this book, the author provides a comprehensive coverage of modern numerical modelling techniques for designing photonic devices for use in modern optical telecommunications systems. In addition the book presents the state-of-the-art in computational photonics techniques, covering methods such as full-vectorial finite-element beam propagation, bidirectional beam propagation, complex-envelope alternative direction implicit finite difference time domain, multiresolution time domain, and finite volume time domain. The book guides the reader through the concepts of modelling, analysing, designing and optimising the performance of a wide range of photonic devices by building their own numerical code using these methods. Key Features: Provides a thorough presentation of the state-of-the art in computational modelling techniques for photonics Contains broad coverage of both frequency- and time-domain techniques to suit a wide range of photonic devices Reviews existing commercial software packages for photonics Presents the advantages and disadvantages of the different modelling techniques as well as their suitability for various photonic devices Shows the reader how to model, analyse, design and optimise the performance of a wide range of photonic devices by building their own numerical code using these methods Accompanying website contains the numerical examples representing the numerical techniques in this book, as well as several design examples (http://www.wiley.com/go/obayya_computational) This book will serve as an invaluable reference for researchers, optical telecommunications engineers, engineers in the photonics industry. PhD and MSc students undertaking courses in the areas of photonics and optical telecommunications will also find this book of interest.

Finite Element Modeling Methods for Photonics

Author : B. M. Azizur Rahman ,Arti Agrawal
Publisher : Artech House
Page : 265 pages
File Size : 52,5 Mb
Release : 2013-08-01
Category : Technology & Engineering
ISBN : 9781608075317

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Finite Element Modeling Methods for Photonics by B. M. Azizur Rahman ,Arti Agrawal Pdf

The term photonics can be used loosely to refer to a vast array of components, devices, and technologies that in some way involve manipulation of light. One of the most powerful numerical approaches available to engineers developing photonic components and devices is the Finite Element Method (FEM), which can be used to model and simulate such components/devices and analyze how they will behave in response to various outside influences. This resource provides a comprehensive description of the formulation and applications of FEM in photonics applications ranging from telecommunications, astronomy, and sensing, to chemistry, imaging, and biomedical R&D. This book emphasizes practical, problem-solving applications and includes real-world examples to assist readers in understanding how mathematical concepts translate to computer code for finite element-based methods applicable to a range of photonic structures. In addition, this is the perfect support to anyone using the COMSOL Multiphysics© RF Module.

Photonic Crystals: Mathematical Analysis and Numerical Approximation

Author : Willy Dörfler,Armin Lechleiter,Michael Plum,Guido Schneider,Christian Wieners
Publisher : Springer Science & Business Media
Page : 162 pages
File Size : 52,6 Mb
Release : 2011-05-18
Category : Mathematics
ISBN : 9783034801133

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Photonic Crystals: Mathematical Analysis and Numerical Approximation by Willy Dörfler,Armin Lechleiter,Michael Plum,Guido Schneider,Christian Wieners Pdf

This book concentrates on the mathematics of photonic crystals, which form an important class of physical structures investigated in nanotechnology. Photonic crystals are materials which are composed of two or more different dielectrics or metals, and which exhibit a spatially periodic structure, typically at the length scale of hundred nanometers. In the mathematical analysis and the numerical simulation of the partial differential equations describing nanostructures, several mathematical difficulties arise, e. g., the appropriate treatment of nonlinearities, simultaneous occurrence of continuous and discrete spectrum, multiple scales in space and time, and the ill-posedness of these problems. This volume collects a series of lectures which introduce into the mathematical background needed for the modeling and simulation of light, in particular in periodic media, and for its applications in optical devices.

Integrated Photonics

Author : Clifford Pollock,Michal Lipson
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 42,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781475755220

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Integrated Photonics by Clifford Pollock,Michal Lipson Pdf

From the beginning Integrated Photonics introduces numerical techniques for studying non-analytic structures. Most chapters have numerical problems designed for solution using a computational program such as Matlab or Mathematica. An entire chapter is devoted to one of the numeric simulation techniques being used in optoelectronic design (the Beam Propagation Method), and provides opportunity for students to explore some novel optical structures without too much effort. Small pieces of code are supplied where appropriate to get the reader started on the numeric work. Integrated Photonics is designed for the senior/first year graduate student, and requires a basic familiarity with electromagnetic waves, and the ability to solve differential equations with boundary conditions.

Optical Properties of Photonic Crystals

Author : Kazuaki Sakoda
Publisher : Springer
Page : 230 pages
File Size : 49,9 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662143247

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Optical Properties of Photonic Crystals by Kazuaki Sakoda Pdf

Deals not only with the properties of the radiation modes inside the crystals but also with their peculiar optical response to external fields. A general theory of linear and nonlinear optical response is presented in a clear and detailed fashion using the Green’s function method. Important recent developments such as the enhancement of stimulated emission, second harmonic generation, quadrature-phase squeezing, and low-threshold lasing are likewise treated in detail and made understandable. Numerical methods are also emphasised. This book provides both introductory knowledge for graduate and undergraduate students and important ideas for researchers.

Photonics Modelling and Design

Author : Slawomir Sujecki
Publisher : CRC Press
Page : 410 pages
File Size : 44,7 Mb
Release : 2018-09-03
Category : Science
ISBN : 9781466561274

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Photonics Modelling and Design by Slawomir Sujecki Pdf

Photonics Modeling and Design delivers a concise introduction to the modeling and design of photonic devices. Assuming a general knowledge of photonics and the operating principles of fibre and semiconductor lasers, this book: Describes the analysis of the light propagation in dielectric media Discusses heat diffusion and carrier transport Applies the presented theory to develop fibre and semiconductor laser models Addresses the propagation of short optical pulses in optical fibres Puts all modeling into practical context with examples of devices currently in development or on the market Providing hands-on guidance in the form of MATLAB® scripts, tips, and other downloadable content, Photonics Modeling and Design is written for students and professionals interested in modeling photonic devices either for gaining a deeper understanding of the operation or to optimize the design.

Advances in FDTD Computational Electrodynamics

Author : Allen Taflove,Ardavan Oskooi,Steven G. Johnson
Publisher : Artech House
Page : 640 pages
File Size : 50,6 Mb
Release : 2013
Category : Science
ISBN : 9781608071708

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Advances in FDTD Computational Electrodynamics by Allen Taflove,Ardavan Oskooi,Steven G. Johnson Pdf

Advances in photonics and nanotechnology have the potential to revolutionize humanitys ability to communicate and compute. To pursue these advances, it is mandatory to understand and properly model interactions of light with materials such as silicon and gold at the nanoscale, i.e., the span of a few tens of atoms laid side by side. These interactions are governed by the fundamental Maxwells equations of classical electrodynamics, supplemented by quantum electrodynamics. This book presents the current state-of-the-art in formulating and implementing computational models of these interactions. Maxwells equations are solved using the finite-difference time-domain (FDTD) technique, pioneered by the senior editor, whose prior Artech House books in this area are among the top ten most-cited in the history of engineering. This cutting-edge resource helps readers understand the latest developments in computational modeling of nanoscale optical microscopy and microchip lithography, as well as nanoscale plasmonics and biophotonics.

Advanced Numerical Techniques for Photonic Crystals

Author : Didier Felbacq
Publisher : Morgan & Claypool Publishers
Page : 124 pages
File Size : 41,9 Mb
Release : 2016-12-07
Category : Science
ISBN : 9781681743028

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Advanced Numerical Techniques for Photonic Crystals by Didier Felbacq Pdf

This book provides a set of theoretical and numerical tools useful for the study of wave propagation in metamaterials and photonic crystals. While concentrating on electromagnetic waves, most of the material can be used for acoustic (or quantum) waves. For each presented numerical method, numerical code written in MATLAB® is presented. The codes are limited to 2D problems and can be easily translated in Python or Scilab, and used directly with Octave as well.