# Numerical Techniques in Electromagnetics, 2nd ed.

## Matthew N. O. Sadiku

2000

760 pages

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2000

760 pages

- FUNDAMENTAL CONCEPTS

- Review of Electromagnetic Theory
- Classification of EM Problem
- 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 Coordina
- Some Useful Orthogonal Functions
- Series Expansion
- Practical Applications

- 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
- Finite Differencing for Nonrectangular Systems
- Absorbing Boundary Conditions for FDTD
- 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 METHODS

- 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
- Whole Field Computation by Markov Chain
- Method of Lines

- APPENDICES

- Vector Relations
- Review of C++
- Key Programs in C++
- Solution of Simultaneous Equations
- Answers to Odd-Numbered Problems

Each chapter also contains Concluding Remarks, References, and Problems