Numerical techniques in electromagnetics with MATLAB

Despite the dramatic growth in the availability of powerful computer resources, the EM community lacks a comprehensive text on the computational techniques used to solve EM problems. The first edition of Numerical Techniques in Electromagneticsfilled that gap and became the reference of choice for thousands of engineers, researchers, and students.

This third edition of the bestselling text reflects the continuing increase in awareness and use of numerical techniques and incorporates advances and refinements made in recent years. Most notable among these are the improvements made to the standard algorithm for the finite-difference time-domain (FDTD) method and treatment of absorbing boundary conditions in FDTD, finite element, and transmission-line-matrix methods. The author also has added a chapter on the method of lines.

Numerical Techniques in Electromagnetics with MATLAB®, Third Editioncontinues to teach readers how to pose, numerically analyze, and solve EM problems, to give them the ability to expand their problem-solving skills using a variety of methods, and to prepare them for research in electromagnetism. Now the Third Edition goes even further toward providing a comprehensive resource that addresses all of the most useful computation methods for EM problems and includes MATLAB code instead of FORTRAN.

t;/STRONG> continues to teach readers how to pose, numerically analyze, and solve EM problems, to give them the ability to expand their problem-solving skills using a variety of methods, and to prepare them for research in electromagnetism. Now the Third Edition goes even further toward providing a comprehensive resource that addresses all of the most useful computation methods for EM problems and includes MATLAB code instead of FORTRAN.

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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