Monte Carlo Methods For Electromagnetics

Author : Matthew N.O. Sadiku
Publisher : CRC Press
Page : 139 pages
File Size : 44,6 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9781351834353

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Monte Carlo Methods for Electromagnetics by Matthew N.O. Sadiku Pdf

Until now, novices had to painstakingly dig through the literature to discover how to use Monte Carlo techniques for solving electromagnetic problems. Written by one of the foremost researchers in the field, Monte Carlo Methods for Electromagnetics provides a solid understanding of these methods and their applications in electromagnetic computation. Including much of his own work, the author brings together essential information from several different publications. Using a simple, clear writing style, the author begins with a historical background and review of electromagnetic theory. After addressing probability and statistics, he introduces the finite difference method as well as the fixed and floating random walk Monte Carlo methods. The text then applies the Exodus method to Laplace’s and Poisson’s equations and presents Monte Carlo techniques for handing Neumann problems. It also deals with whole field computation using the Markov chain, applies Monte Carlo methods to time-varying diffusion problems, and explores wave scattering due to random rough surfaces. The final chapter covers multidimensional integration. Although numerical techniques have become the standard tools for solving practical, complex electromagnetic problems, there is no book currently available that focuses exclusively on Monte Carlo techniques for electromagnetics. Alleviating this problem, this book describes Monte Carlo methods as they are used in the field of electromagnetics.

Author : Matthew N.O. Sadiku
Publisher : CRC Press
Page : 240 pages
File Size : 40,9 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9781439800720

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Monte Carlo Methods for Electromagnetics by Matthew N.O. Sadiku Pdf

Until now, novices had to painstakingly dig through the literature to discover how to use Monte Carlo techniques for solving electromagnetic problems. Written by one of the foremost researchers in the field, Monte Carlo Methods for Electromagnetics provides a solid understanding of these methods and their applications in electromagnetic computation. Including much of his own work, the author brings together essential information from several different publications. Using a simple, clear writing style, the author begins with a historical background and review of electromagnetic theory. After addressing probability and statistics, he introduces the finite difference method as well as the fixed and floating random walk Monte Carlo methods. The text then applies the Exodus method to Laplace’s and Poisson’s equations and presents Monte Carlo techniques for handing Neumann problems. It also deals with whole field computation using the Markov chain, applies Monte Carlo methods to time-varying diffusion problems, and explores wave scattering due to random rough surfaces. The final chapter covers multidimensional integration. Although numerical techniques have become the standard tools for solving practical, complex electromagnetic problems, there is no book currently available that focuses exclusively on Monte Carlo techniques for electromagnetics. Alleviating this problem, this book describes Monte Carlo methods as they are used in the field of electromagnetics.

Author : Matthew N.O. Sadiku
Publisher : CRC Press
Page : 469 pages
File Size : 43,6 Mb
Release : 2018-10-08
Category : Technology & Engineering
ISBN : 9781420063103

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Numerical Techniques in Electromagnetics with MATLAB by Matthew N.O. Sadiku Pdf

Despite the dramatic growth in the availability of powerful computer resources, the EM community lacks a comprehensive text on the computational techniques used to solve EM problems. The first edition of Numerical Techniques in Electromagnetics filled that gap and became the reference of choice for thousands of engineers, researchers, and students. This third edition of the bestselling text reflects the continuing increase in awareness and use of numerical techniques and incorporates advances and refinements made in recent years. Most notable among these are the improvements made to the standard algorithm for the finite-difference time-domain (FDTD) method and treatment of absorbing boundary conditions in FDTD, finite element, and transmission-line-matrix methods. The author also has added a chapter on the method of lines. Numerical Techniques in Electromagnetics with MATLAB®, Third Edition continues to teach readers how to pose, numerically analyze, and solve EM problems, to give them the ability to expand their problem-solving skills using a variety of methods, and to prepare them for research in electromagnetism. Now the Third Edition goes even further toward providing a comprehensive resource that addresses all of the most useful computation methods for EM problems and includes MATLAB code instead of FORTRAN.

Author : Matthew N.O. Sadiku
Publisher : CRC Press
Page : 764 pages
File Size : 48,5 Mb
Release : 2000-07-12
Category : Technology & Engineering
ISBN : 0849313953

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Numerical Techniques in Electromagnetics, Second Edition by Matthew N.O. Sadiku Pdf

As the availability of powerful computer resources has grown over the last three decades, the art of computation of electromagnetic (EM) problems has also grown - exponentially. Despite this dramatic growth, however, the EM community lacked a comprehensive text on the computational techniques used to solve EM problems. The first edition of Numerical Techniques in Electromagnetics filled that gap and became the reference of choice for thousands of engineers, researchers, and students. The Second Edition of this bestselling text reflects the continuing increase in awareness and use of numerical techniques and incorporates advances and refinements made in recent years. Most notable among these are the improvements made to the standard algorithm for the finite difference time domain (FDTD) method and treatment of absorbing boundary conditions in FDTD, finite element, and transmission-line-matrix methods. The author also added a chapter on the method of lines. Numerical Techniques in Electromagnetics continues to teach readers how to pose, numerically analyze, and solve EM problems, give them the ability to expand their problem-solving skills using a variety of methods, and prepare them for research in electromagnetism. Now the Second Edition goes even further toward providing a comprehensive resource that addresses all of the most useful computation methods for EM problems.

Author : M.H. Kalos
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400963849

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Monte Carlo Methods in Quantum Problems by M.H. Kalos Pdf

Monte Carlo methods have been a tool of theoretical and computational scientists for many years. In particular, the invention and percolation of the algorithm of Metropolis, Rosenbluth, Rosenbluth, Teller, and Teller sparked a rapid growth of applications to classical statistical mechanics. Although proposals for treatment of quantum systems had been made even earlier, only a few serious calculations had heen carried out. Ruch calculations are generally more consuming of computer resources than for classical systems and no universal algorithm had--or indeed has yet-- emerged. However, with advances in techniques and in sheer computing power, Monte Carlo methods have been used with considerable success in treating quantum fluids and crystals, simple models of nuclear matter, and few-body nuclei. Research at several institutions suggest that they may offer a new approach to quantum chemistry, one that is independent of basis ann yet capable of chemical accuracy. That. Monte Carlo methods can attain the very great precision needed is itself a remarkable achievement. More recently, new interest in such methods has arisen in two new a~as. Particle theorists, in particular K. Wilson, have drawn attention to the rich analogy between quantum field theoty and statistical mechanics and to the merits of Monte Carlo calculations for lattice gauge theories. This has become a rapidly growing sub-field. A related development is associated with lattice problems in quantum physics, particularly with models of solid state systems. The~ is much ferment in the calculation of various one-dimensional problems such as the'Hubbard model.

Author : Adolf J. Schwab
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642489419

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Field Theory Concepts by Adolf J. Schwab Pdf

"Field Theory Concepts" is a new approach to the teaching and understanding of field theory. Exploiting formal analo- gies of electric, magnetic, and conduction fields and introducing generic concepts results in a transparently structured electomagnetic field theory. Highly illustrative terms alloweasyaccess to the concepts of curl and div which generally are conceptually demanding. Emphasis is placed on the static, quasistatic and dynamic nature of fields. Eventually, numerical field calculation algorithms, e.g. Finite Element method and Monte Carlo method, are presented in a concise yet illustrative manner.

Author : Matthew N.O. Sadiku
Publisher : CRC Press
Page : 687 pages
File Size : 49,7 Mb
Release : 2018-07-20
Category : Technology & Engineering
ISBN : 9781351365093

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Computational Electromagnetics with MATLAB, Fourth Edition by Matthew N.O. Sadiku Pdf

This fourth edition of the text reflects the continuing increase in awareness and use of computational electromagnetics and incorporates advances and refinements made in recent years. Most notable among these are the improvements made to the standard algorithm for the finite-difference time-domain (FDTD) method and treatment of absorbing boundary conditions in FDTD, finite element, and transmission-line-matrix methods. It teaches the readers how to pose, numerically analyze, and solve EM problems, to give them the ability to expand their problem-solving skills using a variety of methods, and to prepare them for research in electromagnetism. Includes new homework problems in each chapter. Each chapter is updated with the current trends in CEM. Adds a new appendix on CEM codes, which covers commercial and free codes. Provides updated MATLAB code.

Author : Matthew N.O. Sadiku
Publisher : CRC Press
Page : 720 pages
File Size : 52,5 Mb
Release : 1992-06-24
Category : Technology & Engineering
ISBN : 0849342325

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Numerical Techniques in Electromagnetics by Matthew N.O. Sadiku Pdf

Numerical Techniques in Electromagnetics is designed to show the reader how to pose, numerically analyze, and solve electromagnetic (EM) problems. It gives them the ability to expand their problem-solving skills using a variety of available numerical methods. Topics covered include fundamental concepts in EM; numerical methods; finite difference methods; variational methods, including moment methods and finite element methods; transmission-line matrix or modeling (TLM); and Monte Carlo methods. The simplicity of presentation of topics throughout the book makes this an ideal text for teaching or self-study by senior undergraduates, graduate students, and practicing engineers.

Author : G.I. Marchuk,G.A. Mikhailov,M.A. Nazareliev,R.A. Darbinjan,B.A. Kargin,B.S. Elepov
Publisher : Springer
Page : 218 pages
File Size : 41,7 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783540352372

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The Monte Carlo Methods in Atmospheric Optics by G.I. Marchuk,G.A. Mikhailov,M.A. Nazareliev,R.A. Darbinjan,B.A. Kargin,B.S. Elepov Pdf

This monograph is devoted to urgent questions of the theory and applications of the Monte Carlo method for solving problems of atmospheric optics and hydrooptics. The importance of these problems has grown because of the increas ing need to interpret optical observations, and to estimate radiative balance precisely for weather forecasting. Inhomogeneity and sphericity of the atmos phere, absorption in atmospheric layers, multiple scattering and polarization of light, all create difficulties in solving these problems by traditional methods of computational mathematics. Particular difficulty arises when one must solve nonstationary problems of the theory of transfer of narrow beams that are connected with the estimation of spatial location and time characteristics of the radiation field. The most universal method for solving those problems is the Monte Carlo method, which is a numerical simulation of the radiative-transfer process. This process can be regarded as a Markov chain of photon collisions in a medium, which result in scattering or absorption. The Monte Carlo tech nique consists in computational simulation of that chain and in constructing statistical estimates of the desired functionals. The authors of this book have contributed to the development of mathemati cal methods of simulation and to the interpretation of optical observations. A series of general method using Monte Carlo techniques has been developed. The present book includes theories and algorithms of simulation. Numerical results corroborate the possibilities and give an impressive prospect of the applications of Monte Carlo methods.

Author : Bennett L. Fox
Publisher : Springer Science & Business Media
Page : 393 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461552215

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Strategies for Quasi-Monte Carlo by Bennett L. Fox Pdf

Strategies for Quasi-Monte Carlo builds a framework to design and analyze strategies for randomized quasi-Monte Carlo (RQMC). One key to efficient simulation using RQMC is to structure problems to reveal a small set of important variables, their number being the effective dimension, while the other variables collectively are relatively insignificant. Another is smoothing. The book provides many illustrations of both keys, in particular for problems involving Poisson processes or Gaussian processes. RQMC beats grids by a huge margin. With low effective dimension, RQMC is an order-of-magnitude more efficient than standard Monte Carlo. With, in addition, certain smoothness - perhaps induced - RQMC is an order-of-magnitude more efficient than deterministic QMC. Unlike the latter, RQMC permits error estimation via the central limit theorem. For random-dimensional problems, such as occur with discrete-event simulation, RQMC gets judiciously combined with standard Monte Carlo to keep memory requirements bounded. This monograph has been designed to appeal to a diverse audience, including those with applications in queueing, operations research, computational finance, mathematical programming, partial differential equations (both deterministic and stochastic), and particle transport, as well as to probabilists and statisticians wanting to know how to apply effectively a powerful tool, and to those interested in numerical integration or optimization in their own right. It recognizes that the heart of practical application is algorithms, so pseudocodes appear throughout the book. While not primarily a textbook, it is suitable as a supplementary text for certain graduate courses. As a reference, it belongs on the shelf of everyone with a serious interest in improving simulation efficiency. Moreover, it will be a valuable reference to all those individuals interested in improving simulation efficiency with more than incremental increases.

Author : Hristos T. Anastassiu
Publisher : MDPI
Page : 196 pages
File Size : 54,8 Mb
Release : 2021-03-19
Category : Technology & Engineering
ISBN : 9783036500645

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Numerical and Analytical Methods in Electromagnetics by Hristos T. Anastassiu Pdf

Like all branches of physics and engineering, electromagnetics relies on mathematical methods for modeling, simulation, and design procedures in all of its aspects (radiation, propagation, scattering, imaging, etc.). Originally, rigorous analytical techniques were the only machinery available to produce any useful results. In the 1960s and 1970s, emphasis was placed on asymptotic techniques, which produced approximations of the fields for very high frequencies when closed-form solutions were not feasible. Later, when computers demonstrated explosive progress, numerical techniques were utilized to develop approximate results of controllable accuracy for arbitrary geometries. In this Special Issue, the most recent advances in the aforementioned approaches are presented to illustrate the state-of-the-art mathematical techniques in electromagnetics.

Author : Akhlesh Lakhtakia
Publisher : Springer Nature
Page : 825 pages
File Size : 52,8 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9783031398247

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The Advancing World of Applied Electromagnetics by Akhlesh Lakhtakia Pdf

Author : Fausto Rossi
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 41,6 Mb
Release : 2011-01-13
Category : Technology & Engineering
ISBN : 9783642105562

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Theory of Semiconductor Quantum Devices by Fausto Rossi Pdf

Primary goal of this book is to provide a cohesive description of the vast field of semiconductor quantum devices, with special emphasis on basic quantum-mechanical phenomena governing the electro-optical response of new-generation nanomaterials. The book will cover within a common language different types of optoelectronic nanodevices, including quantum-cascade laser sources and detectors, few-electron/exciton quantum devices, and semiconductor-based quantum logic gates. The distinguishing feature of the present volume is a unified microscopic treatment of quantum-transport and coherent-optics phenomena on ultrasmall space- and time-scales, as well as of their semiclassical counterparts.

Author : Adolf J Schwab
Publisher : Unknown
Page : 236 pages
File Size : 51,9 Mb
Release : 1988-10-28
Category : Electronic
ISBN : 3642489427

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Field Theory Concepts by Adolf J Schwab Pdf

Author : Guriĭ Ivanovich Marchuck
Publisher : Unknown
Page : 128 pages
File Size : 41,9 Mb
Release : 1980
Category : Electronic
ISBN : OCLC:36881036

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Monte Carlo Methods in Atmospheric Optics by Guriĭ Ivanovich Marchuck Pdf