Numerical Techniques in Electromagnetics, Second Edition

Published:
July 12, 2000 by CRC Press - 760 Pages
Author(s):
Matthew N.O. Sadiku, Prairie View A&M University, Texas, USA
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ISBN 9780849313950
Cat# 1395
 

Features

  • A new chapter on method of lines
  • Recent advances in the FDTD method
  • Discussion of absorbing boundary condition in FDTD, FEM, and TLM
  • Appendices containing a review of C++
  • Application of the techniques in each chapter to real life problemsAppropriate as a text for upper level undergraduate, or graduate electromagnetics courseSolution manual available with qualifying course adoption

    • Summary

    As the availability of powerful computer resources has grown over the last three decades, the art of computation of electromagnetic (EM) problems has also grown - exponentially. Despite this dramatic growth, however, the EM community lacked a comprehensive text on the computational techniques used to solve EM problems. The first edition of Numerical Techniques in Electromagnetics filled that gap and became the reference of choice for thousands of engineers, researchers, and students.

    The Second Edition of this 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 added a chapter on the method of lines.

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

    Table of Contents

    FUNDAMENTAL CONCEPTS
    Review of Electromagnetic Theory
    Classification of EM Problem
    Some Important Theorems
    ANALYTICAL METHODS
    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
    FINITE DIFFERENCE METHODS
    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 Application I - Guided Structures
    Practical Applications II - Wave Scattering
    Absorbing Boundary Conditions for FDTD
    Finite Differencing for Nonrectangular Systems
    Numerical Integration
    VARIATIONAL METHODS
    Operators in Linear Spaces
    Calculus of Variations
    Construction of Functionals from PDEs
    Rayleigh-Ritz Method
    Weighted Residual Method
    Eigenvalue Problems
    Practical Applications
    MOMENT METHODS
    Integral Equations
    Green's Functions
    Applications I - Quasi-Static Problems
    Applications II - Scattering Problems
    Applications III - Radiation Problems
    Application IV - EM Absorption in the Human Body
    FINITE ELEMENT METHOD
    Solution of Laplace's Equation
    Solution of Poisson's Equation
    Solution of the Wave Equation
    Automatic Mesh Generation I - Rectangular Domains
    Automatic Mesh Generation II - Arbitrary Domains
    Bandwidth Reduction
    Higher Order Elements
    Three-Dimensional Elements
    Finite Element Methods for Exterior Problems
    TRANSMISSION-LINE-MATRIX METHOD
    Transmission-Line Equations
    Solution of Diffusion Equation
    Solution of Wave Equations
    Inhomogeneous and Lossy Media in TLM
    Three-Dimensional TLM Mesh
    Error Sources and Correction
    Absorbing Boundary Conditions
    MONTE CARLO METHODS
    Generation of Random Numbers and Variables
    Evaluation of Error
    Numerical Integration
    Solution of Potential Problems
    Regional Monte Carlo Methods
    METHOD OF LINES
    Solution of Laplace's Equation
    Solution of Wave Equation
    Time-Domain Solution
    APPENDICES
    Vector Relations
    Solving Electromagnetic Problems Using C++
    Numerical Techniques in C++
    Solution of Simultaneous Equations
    Answers to Odd-Numbered Problems
    Index
    Each chapter also contains an Introduction, Concluding Remarks, References, and Problems

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