The Method of Moments in Electromagnetics: 2nd Edition (Hardback) book cover

The Method of Moments in Electromagnetics

2nd Edition

By Walton C. Gibson

Chapman and Hall/CRC

450 pages | 192 B/W Illus.

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pub: 2014-07-10
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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

Examples

Two-Dimensional Problems

Conducting Objects

Dielectric and Composite Objects

Bodies of Revolution

BOR Surface Description

Expansion of Surface Currents

EFIE

MFIE

Solution

nMFIE

Numerical Discretization

Notes on Software Implementation

Examples

Treatment of Junctions

Three-Dimensional Problems

Modeling of Three-Dimensional Surfaces

Expansion of Surface Currents

EFIE

MFIE

nMFIE

Enforcement of Boundary Conditions

Notes on Software Implementation

Examples

The Fast Multipole Method

Matrix-Vector Product

Addition Theorem

FMM Matrix Elements

One-Level Fast Multipole Algorithm

Multi-Level Fast Multipole Algorithm (MLFMA)

Preconditioners

Examples

Notes on Software Implementation

Integration

One-Dimensional Integration

Integration over Triangles

Appendix: Scattering Using Physical Optics

Index

References appear at the end of each chapter.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
SCI040000
SCIENCE / Mathematical Physics
TEC007000
TECHNOLOGY & ENGINEERING / Electrical
TEC024000
TECHNOLOGY & ENGINEERING / Microwaves