2nd Edition

The Method of Moments in Electromagnetics

ISBN 9781482235791
Published July 10, 2014 by Chapman and Hall/CRC
450 Pages 192 B/W Illustrations

USD $220.00

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Book Description

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.

Table of Contents

Computational Electromagnetics
CEM Algorithms

The Method of Moments
The Method of Moments
Common 2D Basis Functions

Radiation and Scattering
Maxwell’s Equations
Electromagnetic Boundary Conditions
Formulations for Radiation
Vector Potentials
Near and Far Field
Formulations for Scattering

Solution of Matrix Equations
Direct Methods
Iterative Methods
Software for Linear Systems

Thin Wires
Thin Wire Approximation
Thin Wire Excitations
Hallen’s Equation
Pocklington’s Equation
Thin Wires of Arbitrary Shape

Two-Dimensional Problems
Conducting Objects
Dielectric and Composite Objects

Bodies of Revolution
BOR Surface Description
Expansion of Surface Currents
Numerical Discretization
Notes on Software Implementation
Treatment of Junctions

Three-Dimensional Problems
Modeling of Three-Dimensional Surfaces
Expansion of Surface Currents
Enforcement of Boundary Conditions
Notes on Software Implementation

The Fast Multipole Method
Matrix-Vector Product
Addition Theorem
FMM Matrix Elements
One-Level Fast Multipole Algorithm
Multi-Level Fast Multipole Algorithm (MLFMA)
Notes on Software Implementation

One-Dimensional Integration
Integration over Triangles

Appendix: Scattering Using Physical Optics


References appear at the end of each chapter.

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