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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.
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
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