Numerical Techniques in Electromagnetics 2nd Edition by Matthew N O Sadiku ISBN 0849313953 9780849313950
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ISBN 10: 0849313953
ISBN 13: 9780849313950
Author: Matthew N O Sadiku
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.
Numerical Techniques in Electromagnetics 2nd Table of contents:
Part I: Fundamentals
- Chapter 1: Fundamental Concepts
- Introduction
- Review of Electromagnetic Theory (Electrostatic Fields, Magnetostatic Fields, Time-Varying Fields, Boundary Conditions, Wave Equations, Time-Varying Potentials, Time-Harmonic Fields)
- Classification of EM Problems (Solution Regions, Differential Equations, Boundary Conditions)
- Some Important Theorems (Superposition, Uniqueness)
- Problems
- Chapter 2: Analytical Methods
- Introduction
- Separation of Variables (Rectangular, Cylindrical, Spherical Coordinates for Laplace’s and Wave Equations)
- Some Useful Orthogonal Functions
- Series Expansion (Poisson’s Equation, Strip Transmission Line, Scattering problems)
- Practical Applications
- Concluding Remarks
- Problems
Part II: Numerical Methods
- Chapter 3: Finite Difference Methods
- Introduction
- Finite Difference Schemes (Parabolic, Hyperbolic, Elliptic PDEs)
- Band Matrix Method
- Iterative Methods
- Accuracy and Stability of FD Solutions
- Practical Applications I – Guided Structures (Transmission Lines, Waveguides)
- Practical Applications II – Wave Scattering (FDTD) (Yee’s Algorithm, Accuracy, Stability, Lattice Truncation Conditions, Initial Fields, Programming Aspects)
- Absorbing Boundary Conditions for FDTD
- Finite Differencing for Nonrectangular Systems (Cylindrical, Spherical Coordinates)
- Numerical Integration (Euler’s, Trapezoidal, Simpson’s, Newton-Cotes, Gaussian Rules, Multiple Integration)
- Concluding Remarks
- Problems
- Chapter 4: Variational Methods
- Introduction
- Operators in Linear Spaces
- Calculus of Variations
- Construction of Functionals from PDEs
- Rayleigh-Ritz Method
- Weighted Residual Method (Collocation, Subdomain, Galerkin, Least Squares Methods)
- Eigenvalue Problems
- Practical Applications
- Concluding Remarks
- Problems
- Chapter 5: Moment Methods
- Introduction
- Integral Equations (Classification, Connection between Differential and Integral Equations)
- Green’s Functions (Free Space, Conducting Boundaries)
- Applications I – Quasi-Static Problems
- Applications II – Scattering Problems (Conducting Cylinder, Parallel Wires)
- Applications III – Radiation Problems (Hallen’s, Pocklington’s Integral Equations, Expansion and Weighting Functions)
- Applications IV – EM Absorption in the Human Body (Derivation, Discretization, Matrix Elements, Solution)
- Concluding Remarks
- Problems
- Chapter 6: Finite Element Method
- Introduction
- Solution of Laplace’s Equation (Element Governing Equations, Assembling, Solving)
- Solution of Poisson’s Equation
- Solution of the Wave Equation
- Automatic Mesh Generation (Rectangular Domains)
- Higher-Order Elements
- Time-Domain Finite Element Method (Implicit, Explicit Schemes)
- Three-Dimensional Elements
- Finite Element Methods for Exterior Problems (Boundary Element Method)
- Concluding Remarks
- Problems
- Chapter 7: Transmission-Line Matrix Method (TLM)
- Introduction
- Transmission-Line Equations
- Solution of Diffusion Equation
- Solution of Wave Equations (Dispersion, Scattering Matrix, Boundary Representation, Fields, Frequency Response)
- Inhomogeneous and Lossy Media in TLM
- Three-Dimensional TLM Mesh
- Error Sources and Correction
- Concluding Remarks
- Problems
- Chapter 8: Monte Carlo Methods
- Introduction
- Generation of Random Numbers and Variables
- Monte Carlo Integration
- Monte Carlo Method for Solving Boundary-Value Problems
- Practical Applications (Laplace’s Equation, Capacitance, Radiation)
- Concluding Remarks
- Problems
- Chapter 9: Method of Lines (MoL)
- Introduction
- Discretization
- Solution of the Differential Equation
- Wave Propagation in Multilayer Structures
- Applications (Planar Waveguide, Microstrip Line, Coplanar Waveguide)
- Concluding Remarks
- Problems
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Tags: Matthew N O Sadiku, Numerical, Techniques