Integral Equation Methods For Electromagnetics


Integral Equation Methods For Electromagnetics
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Integral Equation Methods For Electromagnetics


Integral Equation Methods For Electromagnetics
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Author : Nobuaki Kumagai
language : en
Publisher: Artech House Publishers
Release Date : 1990

Integral Equation Methods For Electromagnetics written by Nobuaki Kumagai and has been published by Artech House Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


Details the methods for solving electromagnetic wave problems using the integral equation formula. This text limits the use of mathematics to the level of standard undergraduate students and explains all the derivations and transformations of equations in detail.



Integral Equation Methods For Electromagnetic And Elastic Waves


Integral Equation Methods For Electromagnetic And Elastic Waves
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Author : Weng Cho Chew
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2009

Integral Equation Methods For Electromagnetic And Elastic Waves written by Weng Cho Chew and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Elastic waves categories.


Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms



Integral Equation Methods For Electromagnetics


Integral Equation Methods For Electromagnetics
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Author :
language : en
Publisher:
Release Date : 2018-05

Integral Equation Methods For Electromagnetics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05 with categories.


Integral equations appear in most applied areas and are as important as differential equations. In fact, many problems can be formulated as either a differential or an integral equation. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a growth of interest in this topic in the 1980s due to increased computing power. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Integral Equation Methods for Electromagnetics delves insight into the development and use of integral equation methods for electromagnetic analysis. Developers and practitioners will appreciate the broad-based approach to understanding and utilizing integral equation methods and the unique coverage of historical developments that led to the current development. Surface integral equation based methods have been widely used for the analysis of electromagnetic (EM) scattering and radiation. Commonly used integral equations for perfectly electrical conductors (PECs) include electric field integral equation (EFIE), magnetic integral equation (MFIE) and combined field integral equation (CFIE) and their modified forms. Algorithms for the numerical solution of continuum electromagnetic field problems are based either on differential or integral formulations. The book examines the special advantages of integral equations over differential equations, explores some of the difficulties involved and suggests that, in the context of more advanced problems.This book will appeal to students, practitioners as well as academic researchers with a detailed and up-to-date coverage of integral methods in electromagnetics.



Numerical Analysis For Electromagnetic Integral Equations


Numerical Analysis For Electromagnetic Integral Equations
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Author : Karl F. Warnick
language : en
Publisher: Artech House
Release Date : 2008

Numerical Analysis For Electromagnetic Integral Equations written by Karl F. Warnick and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


Introduction -- Surface integral equation formulations and the method of moments -- Error analysis of the EFIE / with W.C. Chew -- Error analysis of the MFIE and CFIE / with C.P. Davis -- Geometrical singularities and the flat strip -- Resonant structures -- Error analysis for 3D problems -- Higher-order basis functions / with A.F. Peterson -- Operator spectra and iterative solution methods.



Integral Equation Methods For Electromagnetics


Integral Equation Methods For Electromagnetics
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Author : John L. Volakis
language : en
Publisher: IET
Release Date : 2012-06-30

Integral Equation Methods For Electromagnetics written by John L. Volakis and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-30 with Mathematics categories.


This text/reference is a detailed look at the development and use of integral equation methods for electromagnetic analysis, specifically for antennas and radar scattering. Developers and practitioners will appreciate the broad-based approach to understanding and utilizing integral equation methods and the unique coverage of historical developments that led to the current state-of-the-art. In contrast to existing books, Integral Equation Methods for Electromagnetics lays the groundwork in the initial chapters so students and basic users can solve simple problems and work their way up to the most advanced and current solutions.



Generalized Moment Methods In Electromagnetics


Generalized Moment Methods In Electromagnetics
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Author : Johnson J. H. Wang
language : en
Publisher: Wiley-Interscience
Release Date : 1991-01-22

Generalized Moment Methods In Electromagnetics written by Johnson J. H. Wang and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-22 with Mathematics categories.


Now available for the first time in print are the new concepts and insights developed over the last three decades in the broad class of computational techniques called the methods of moment. Designed to serve as both a professional reference and graduate-level textbook, it will be useful in calculations for electromagnetic problems related to, among others, antennas, scattering microwaves, radars and imaging. Also included are problems for students, with the solutions available.



Integral Equations And Iteration Methods In Electromagnetic Scattering


Integral Equations And Iteration Methods In Electromagnetic Scattering
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Author : A. B. Samokhin
language : en
Publisher: Walter de Gruyter
Release Date : 2013-03-12

Integral Equations And Iteration Methods In Electromagnetic Scattering written by A. B. Samokhin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-12 with Mathematics categories.




The Method Of Moments In Electromagnetics Second Edition


The Method Of Moments In Electromagnetics Second Edition
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Author : Walton C. Gibson
language : en
Publisher: CRC Press
Release Date : 2014-07-10

The Method Of Moments In Electromagnetics Second Edition written by Walton C. Gibson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Technology & Engineering categories.


Now Covers Dielectric Materials in Practical Electromagnetic Devices The Method of Moments in Electromagnetics, Second Edition explains the solution of electromagnetic integral equations via the method of moments (MOM). While the first edition exclusively focused on integral equations for conducting problems, this edition extends the integral equation framework to treat objects having conducting as well as dielectric parts. New to the Second Edition Expanded treatment of coupled surface integral equations for conducting and composite conducting/dielectric objects, including objects having multiple dielectric regions with interfaces and junctions Updated topics to reflect current technology More material on the calculation of near fields Reformatted equations and improved figures Providing a bridge between theory and software implementation, the book incorporates sufficient background material and offers nuts-and-bolts implementation details. It first derives a generalized set of surface integral equations that can be used to treat problems with conducting and dielectric regions. Subsequent chapters solve these integral equations for progressively more difficult problems involving thin wires, bodies of revolution, and two- and three-dimensional bodies. After reading this book, students and researchers will be well equipped to understand more advanced MOM topics.



Analysis And Numerical Solution Of An Integral Equation Method For Electromagnetic Scattering From A Cavity In A Ground Plane


Analysis And Numerical Solution Of An Integral Equation Method For Electromagnetic Scattering From A Cavity In A Ground Plane
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Author : Eric T. Howe
language : en
Publisher:
Release Date : 2001-09-01

Analysis And Numerical Solution Of An Integral Equation Method For Electromagnetic Scattering From A Cavity In A Ground Plane written by Eric T. Howe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-01 with Electromagnetic waves categories.


In this research the electromagnetic scattering of a plane wave from a two-dimensional cavity embedded in an infinite, perfectly conducting ground plane is investigated. The plane wave is assumed to be under transverse electric (TE) polarization with respect to the x-axis. The cavity may be empty or filled with an arbitrary homogeneous, lossy material. A coupled set of scalar integral equations that govern the electromagnetic scattering is implemented. An approximate solution to the scalar integral equations is found via a Method of Moments (MoM) algorithm. The algorithm is implemented in a computer code, and approximations to the total magnetic field on the cavity surface and aperture as well as the normal derivative of the total magnetic field on the cavity aperture are obtained. These fields are then used to calculate the two-dimensional monostatic RCS signatures of various test cavities. The numerical results from the algorithm are shown to agree well with the RCS signatures calculated by other well-known methods and published results. In addition to being accurate, the algorithm is very computationally efficient. The process results in simply solving a relatively small, well-conditioned matrix system for each incident angle to produce the unknown fields.



Mapped Vector Basis Functions For Electromagnetic Integral Equations


Mapped Vector Basis Functions For Electromagnetic Integral Equations
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Author : Andrew F. Peterson
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2006

Mapped Vector Basis Functions For Electromagnetic Integral Equations written by Andrew F. Peterson and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Boundary element methods categories.


The method-of-moments solution of the electric field and magnetic field integral equations (EFIE and MFIE) is extended to conducting objects modeled with curved cells. These techniques are important for electromagnetic scattering, antenna, radar signature, and wireless communication applications. Vector basis functions of the divergence-conforming and curl-conforming types are explained, and specific interpolatory and hierarchical basis functions are reviewed. Procedures for mapping these basis functions from a reference domain to a curved cell, while preserving the desired continuity properties on curved cells, are discussed in detail. For illustration, results are presented for examples that employ divergence-conforming basis functions with the EFIE and curl-conforming basis functions with the MFIE. The intended audience includes electromagnetic engineers with some previous familiarity with numerical techniques.