Numerical Techniques in Electromagnetics with MATLAB, Third Edition

by Sadiku; Matthew N. O.

• ISBN13: 9781420063097
• ISBN10: 142006309X
• Edition: 3rd
• Format: Hardcover
• Copyright: 2009-04-09
• Publisher: CRC Press

Summary

As the availability of powerful computer resources continues to increase, the art of computation for electromagnetic (EM) problems is evolving. In the wake of significant strides and advances in the field, Numerical Techniques in Electromagnetics with MATLAB, Third Editionis significantly updated and features a transition of all FORTRAN code into the more widely used MATLAB ® format.Continuing in the bestselling tradition of its first edition, the book demonstrates how to pose, numerically analyze, and solve electromagnetic problems (EM). Improvements were also made to the standard algorithm for the finite difference time domain (FDTD) method and the treatment of absorbing boundary conditions in FDTD, the finite element method, and the transmission-line-matrix method. The new edition adds a chapter on the method of lines. A new appendix covers the basic of MATLAB code.With an updated format, the third edition of this classic text continues to provideworld-class instruction that expands problem-solving abilities and primes readers for advanced research in electromagnetics.

Table of Contents

Fundamental Concepts Introduction Review of Electromagnetic Theory Classification of EM Problems

Some Important Theorems

Analytical Methods Introduction

Separation of Variables

Separation of Variables in Rectangular Coordinates

Separation of Variables in Cylindrical Coordinates

Separation of Variables in Spherical Coordinates

Some Useful Orthogonal Functions

Series Expansion

Practical Applications

Attenuation Due to Raindrops

Concluding Remarks

Finite Difference Methods Introduction

Finite Difference Schemes

Finite Differencing of Parabolic PDEs

Finite Differencing of Hyperbolic PDEs

Finite Differencing of Elliptic PDEs

Accuracy and Stability of FD Solutions

Practical Applications I G++ Guided Structures

Practical Applications II G++ Wave Scattering (FDTD)

Absorbing Boundary Conditions for FDTD

Finite Differencing for Nonrectangular Systems

Numerical Integration

Concluding Remarks

Variational Methods Introduction

Operators in Linear Spaces

Calculus of Variations

Construction of Functionals from PDEs

RayleighG++Ritz Method

Weighted Residual Method

Eigenvalue Problems

Practical Applications

Concluding Remarks

Moment Methods Introduction

Integral Equations

GreenG++s Functions

Applications I G++ Quasi-Static Problems

Applications II G++ Scattering Problems

Applications IIIG++ Radiation Problems

Applications IV G++ EM Absorption in the Human Body Concluding Remarks

Finite Element Method Introduction

Solution of LaplaceG++s Equation

Solution of PoissonG++s Equation

Solution of the Wave Equation

Automatic Mesh Generation I G++

Rectangular Domains Automatic

Mesh Generation II G++ Arbitrary Domains Bandwidth Reduction

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