Dyadic Green Functions in Electromagnetic Theory

Dyadic Green Functions in Electromagnetic Theory
Author: Chen-to Tai
Publisher: Institute of Electrical & Electronics Engineers(IEEE)
Total Pages: 368
Release: 1994
Genre: Mathematics
ISBN:

In this comprehensive, new edition, Chen-To Tai gives extensive attention to recent research surrounding the techniques of dyadic Green functions. Additional formulations are introduced, including the classifications and the different methods of finding the eigenfunction expansions. Important new features in this edition include Maxwell's equations, which has been cast in a dyadic form to make the introduction of the electric and magnetic dyadic Green functions easier to understand; the integral solutions to Maxwell's equations, now derived with the aid of the vector-dyadic Green's theorem, allowing several intermediate steps to be omitted; a detailed discussion of complementary reciprocal theorems and transient radiation in moving media; and the derivation of various dyadic Green functions for problems involving plain layered media, and a two-dimensional Fourier-integral representation of these functions. This in-depth textbook will be of particular interest to antenna and microwave engineers, research scientists, and professors.

Theory and Computation of Electromagnetic Fields in Layered Media

Theory and Computation of Electromagnetic Fields in Layered Media
Author: Vladimir Okhmatovski
Publisher: John Wiley & Sons
Total Pages: 756
Release: 2024-04-09
Genre: Science
ISBN: 1119763215

Explore the algorithms and numerical methods used to compute electromagnetic fields in multi-layered media In Theory and Computation of Electromagnetic Fields in Layered Media, two distinguished electrical engineering researchers deliver a detailed and up-to-date overview of the theory and numerical methods used to determine electromagnetic fields in layered media. The book begins with an introduction to Maxwell’s equations, the fundamentals of electromagnetic theory, and concepts and definitions relating to Green’s function. It then moves on to solve canonical problems in vertical and horizontal dipole radiation, describe Method of Moments schemes, discuss integral equations governing electromagnetic fields, and explains the Michalski-Zheng theory of mixed-potential Green’s function representation in multi-layered media. Chapters on the evaluation of Sommerfeld integrals, procedures for far field evaluation, and the theory and application of hierarchical matrices are also included, along with: A thorough introduction to free-space Green’s functions, including the delta-function model for point charge and dipole current Comprehensive explorations of the traditional form of layered medium Green’s function in three dimensions Practical discussions of electro-quasi-static and magneto-quasi-static fields in layered media, including electrostatic fields in two and three dimensions In-depth examinations of the rational function fitting method, including direct spectra fitting with VECTFIT algorithms Perfect for scholars and students of electromagnetic analysis in layered media, Theory and Computation of Electromagnetic Fields in Layered Media will also earn a place in the libraries of CAD industry engineers and software developers working in the area of computational electromagnetics.

Heat Conduction Using Green's Functions

Heat Conduction Using Green's Functions
Author: Kevin Cole
Publisher: Taylor & Francis
Total Pages: 666
Release: 2010-07-16
Genre: Science
ISBN: 143989521X

Since its publication more than 15 years ago, Heat Conduction Using Green's Functions has become the consummate heat conduction treatise from the perspective of Green's functions-and the newly revised Second Edition is poised to take its place. Based on the authors' own research and classroom experience with the material, this book organizes the so

Static Green's Functions in Anisotropic Media

Static Green's Functions in Anisotropic Media
Author: Ernian Pan
Publisher: Cambridge University Press
Total Pages: 357
Release: 2015-04-30
Genre: Technology & Engineering
ISBN: 131623987X

This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in purely anisotropic elastic, transversely isotropic elastic and isotropic elastic media. Problems include those in three-dimensional, (two-dimensional) infinite, half, and biomaterial spaces (planes). While the emphasis is on the Green's functions related to the line and point force, those corresponding to the important line and point dislocation are also provided and discussed. This book provides a comprehensive derivation and collection of the Green's functions in the concerned media, and as such, it is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.

Operator Theory for Electromagnetics

Operator Theory for Electromagnetics
Author: George W. Hanson
Publisher: Springer Science & Business Media
Total Pages: 640
Release: 2013-03-09
Genre: Science
ISBN: 1475736797

This text discusses electromagnetics from the view of operator theory, in a manner more commonly seen in textbooks of quantum mechanics. It includes a self-contained introduction to operator theory, presenting definitions and theorems, plus proofs of the theorems when these are simple or enlightening.

Waves and Fields in Inhomogenous Media

Waves and Fields in Inhomogenous Media
Author: Weng Cho Chew
Publisher: John Wiley & Sons
Total Pages: 646
Release: 1999-02-02
Genre: Science
ISBN: 0780347498

Electrical Engineering/Electromagnetics Waves and Fields in Inhomogeneous Media A Volume in the IEEE Press Series on Electromagnetic Waves Donald G. Dudley, Series Editor ".it is one of the best wave propagation treatments to appear in many years." Gerardo G. Tango, CPG, Consulting Seismologist-Acoustician, Covington, LA This comprehensive text thoroughly covers fundamental wave propagation behaviors and computational techniques for waves in inhomogeneous media. The author describes powerful and sophisticated analytic and numerical methods to solve electromagnetic problems for complex media and geometry as well. Problems are presented as realistic models of actual situations which arise in the areas of optics, radio wave propagation, geophysical prospecting, nondestructive testing, biological sensing, and remote sensing. Key topics covered include: * Analytical methods for planarly, cylindrically and spherically layered media * Transient waves, including the Cagniard-de Hoop method * Variational methods for the scalar wave equation and the electromagnetic wave equation * Mode-matching techniques for inhomogeneous media * The Dyadic Green's function and its role in simplifying problem-solving in inhomogeneous media * Integral equation formulations and inverse problems * Time domain techniques for inhomogeneous media This book will be of interest to electromagnetics and remote sensing engineers, physicists, scientists, and geophysicists. This IEEE Press reprinting of the 1990 version published by Van Nostrand Reinhold incorporates corrections and minor updating. Also in the series. Mathematical Foundations for Electromagnetic Theory by Donald G. Dudley, University of Arizona at Tucson This volume in the series lays the mathematical foundations for the study of advanced topics in electromagnetic theory. Important subjects covered include linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. 1994 Hardcover 264 pp ISBN 0-7803-1022-5 IEEE Order No. PC3715 About the Series The IEEE Press Series on Electromagnetic Waves consists of new titles as well as reprints and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level.

Borehole Electromagnetic Telemetry System

Borehole Electromagnetic Telemetry System
Author: Jiefu Chen
Publisher: Springer
Total Pages: 68
Release: 2019-06-20
Genre: Technology & Engineering
ISBN: 3030215377

This book explains the theory, numerical modeling, and applications of a borehole electromagnetic telemetry system used for wireless communication between the downhole tool and the surface control center during oilfield drilling. The authors begin by introducing borehole electromagnetic telemetry and explaining each part of the system with schematics and illustrations. They describe the working principle and compare it with other borehole wireless communication methods, such as mud pulse telemetry. They then address 2D and 3D electromagnetic telemetry modelling, listing previous 2D and 3D modeling methods and detailing the advantages and limitations, before discussing their recent work on a novel layered finite element method for 2D electromagnetic telemetry modelling, and on 3D electromagnetic modelling based on integral equation, thin wire kernel, and layered medium Green’s functions. Lastly, the authors show applications of electromagnetic telemetry, including single well borehole wireless communication and cross well communication in pad drilling. This includes photos, figures, and field data from real oilfield jobs. This book is a useful reference for drilling engineers, well logging tool research and development scientists and researchers, as well as for students in the areas of petroleum engineering and electrical engineering.

Computational Electromagnetics

Computational Electromagnetics
Author: Raj Mittra
Publisher: Springer Science & Business Media
Total Pages: 707
Release: 2013-08-20
Genre: Technology & Engineering
ISBN: 1461443822

Emerging Topics in Computational Electromagnetics in Computational Electromagnetics presents advances in Computational Electromagnetics. This book is designed to fill the existing gap in current CEM literature that only cover the conventional numerical techniques for solving traditional EM problems. The book examines new algorithms, and applications of these algorithms for solving problems of current interest that are not readily amenable to efficient treatment by using the existing techniques. The authors discuss solution techniques for problems arising in nanotechnology, bioEM, metamaterials, as well as multiscale problems. They present techniques that utilize recent advances in computer technology, such as parallel architectures, and the increasing need to solve large and complex problems in a time efficient manner by using highly scalable algorithms.

Computational Methods for Electromagnetic Phenomena

Computational Methods for Electromagnetic Phenomena
Author: Wei Cai
Publisher: Cambridge University Press
Total Pages: 463
Release: 2013-01-03
Genre: Mathematics
ISBN: 1107021057

The first book of its kind to cover a wide range of computational methods for electromagnetic phenomena, from atomistic to continuum scales, this integrated and balanced treatment of mathematical formulations, algorithms and the underlying physics enables us to engage in innovative and advanced interdisciplinary computational research.