Advanced Electromagnetic Computation 2nd Edition by Dikshitulu K Kalluri 1498733441 9781498733441

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ISBN-10 :  1498733441 

ISBN-13 :  9781498733441

Author:  Dikshitulu K. Kalluri 

Advanced Electromagnetic Computation with MATLAB® discusses commercial electromagnetic software, widely used in the industry. Algorithms of Finite Differences, Moment method, Finite Element method and Finite Difference Time Domain method are illustrated. Hand-computed simple examples and MATLAB-coded examples are used to explain the concepts behind the algorithms. Case studies of practical examples from transmission lines, waveguides, and electrostatic problems are given so students are able to develop the code and solve the problems. Two new chapters including advanced methods based on perturbation techniques and three dimensional finite element examples from radiation scattering are included.

Table of contents:

Part V Electromagnetic Computation
15. Introduction and One-Dimensional Problems
15.1 Electromagnetic Field Problem: Formulation as Differential and Integral Equations
15.2 Discretization and Algebraic Equations
15.3 One-Dimensional Problems
15.3.1 Finite Differences
15.3.2 Method of Weighted Residuals
15.3.2.1 Collocation (Point Matching)
15.3.2.2 Subdomain Method
15.3.2.3 Galerkin’s Method
15.3.2.4 Method of Least Squares
15.3.3 Moment Method
15.3.4 Finite-Element Method
15.3.5 Variational Principle
References
16. Two-Dimensional Problem
16.1 Finite-Difference Method
16.2 Iterative Solution
16.3 Finite-Element Method
16.3.1 Two Elements
16.3.2 Global and Local Nodes
16.3.2.1 Example of a Main Program
16.3.2.2 Example of a Function Program (GLANT) to Assemble the Global S-Matrix
16.3.3 Standard Area Integral
16.4 FEM for Poisson’s Equation in Two Dimensions
16.5 FEM for Homogeneous Waveguide Problem
16.5.1 Second-Order Node-Based Method
16.5.2 Vector Finite Elements
16.5.3 Fundamental Matrices for Vector Finite Elements
16.5.4 Application of Vector Finite Elements to Homogeneous Waveguide Problem
16.6 Characteristic Impedance of a Transmission Line: FEM
16.7 Moment Method: Two-Dimensional Problems
16.8 Moment Method: Scattering Problem
16.8.1 Formulation
16.8.2 Solution
References
17. Advanced Topics on Finite-Element Method
17.1 Node- and Edge-Based FEM
17.2 Weak Formulation and Weighted Residual Method
17.2.1 Weak Form of the Differential Equation
17.2.2 Galerkin Formulation of the WRM Method: Homogeneous Waveguide Problem
17.3 Inhomogeneous Waveguide Problem
17.3.1 Example of Inhomogeneous Waveguide Problem
17.4 Open Boundary, Absorbing Boundary, Conditions, and Scattering Problem
17.4.1 Boundary Condition of the Third Kind
17.4.1.1 A Simple Example
17.4.2 Example of Electromagnetic Problems with Mixed BC
17.5 The 3D Problem
17.5.1 Volume Coordinates
17.5.2 Functional
17.5.3 S, T, and g Matrices
17.5.4 3D Edge Elements
17.5.5 Higher-Order Edge Elements
References
18. Case Study Ridged Waveguide with Many Elements
18.1 Homogenous Ridged Waveguide
18.1.1 Node-Based FEM
18.1.2 Edge-Based FEM
18.1.3 Second-Order Node-Based FEM
18.1.4 HFSS Simulation
18.2 Inhomogeneous Waveguide
18.2.1 Loaded Square Waveguide
18.2.2 Inhomogeneous Ridged WG
19. Finite-Difference Time-Domain Method
19.1 Air-Transmission Line
19.2 Finite-Difference Time-Domain Solution
19.3 Numerical Dispersion
19.4 Waves in Inhomogeneous, Nondispersive Media: FDTD Solution
19.5 Waves in Inhomogeneous, Dispersive Media
19.6 Waves in Debye Material: FDTD Solution
19.7 Stability Limit and Courant Condition
19.8 Open Boundaries
19.9 Source Excitation
19.10 Frequency Response
References
20. Finite-Difference Time-Domain Method Simulation of Electromagnetic Pulse Interaction with a Switched Plasma Slab
20.1 Introduction
20.2 Development of FDTD Equations
20.2.1 Total-Field and Scattered-Field Formulation
20.2.2 Lattice Truncation: PML
20.2.3 FDTD Formulation for an R Wave in a Switched Plasma Slab
20.3 Interaction of a Continuous Wave with a Switched Plasma Slab
20.4 Interaction of a Pulsed Wave with a Switched Plasma Slab
20.5 Interaction of a Pulsed Wave with a Switched Magnetoplasma Slab
References
21. Radiation and Scattering: Exterior Problems
21.1 Introduction
21.2 Perfectly Matched Layer
21.2.1 Uniaxial Perfectly Matched Layer
21.2.2 Stretched Coordinate Perfectly Matched Layer
21.2.3 Complex Frequency-Shifted Perfectly Matched Layer
21.3 Near-Field to Far-Field Transformation
21.4 Finite Element Boundary Integral Method
21.4.1 Two-Dimensional FEM-BIM Method
References
22. Approximate Analytical Methods Based on Perturbation and Variational Techniques
22.1 Perturbation of a Cavity
22.1.1 Theory for Cavity Wall Perturbations
22.1.2 Cavity Material Perturbation
22.2 Variational Techniques and Stationary Formulas
22.2.1 Rayleigh Quotient
22.2.2 Variational Formulation: Scalar Helmholtz Equation
22.2.3 Variational Formulation: Vector Helmholtz Equation
References
23. Miscellaneous Topics on Electromagnetic Computation
23.1 Intuitive and Qualitative Solution
23.1.1 Field Sketching, Curvilinear Squares, and Solution of Laplace Equation
23.1.2 Scatterers in Time-Harmonic Fields and Circuit Approximations
23.2 Transverse Resonance Method (TRM)
23.3 Mode-Matching and Field-Matching Techniques
23.4 Orthogonal Functions and Integral Transforms
23.4.1 Laplace Transform
23.4.2 Fourier Transform
23.4.3 Z Transform
23.4.4 Mellin Transform
23.4.5 Hankel Transform
23.4.6 Legendre Transform
23.4.7 Finite Fourier Transform
23.4.8 WLP Transform
23.5 Examples of Green’s Functions in Spatial and Spectral Domains
23.6 WLP-FDTD Method
23.7 Z-transform and FDTD Method
23.7.1 Solution of Maxwell’s Equations Using z-Transform and FDTD
23.8 Laplace Transform and FDTD Method for Magnetized Plasma
23.9 Frequency Selective Surfaces, Periodic Boundary Condition, and Fourier-Spectral Domain Method
23.10 Transfer Matrix Method and Layered Media
References

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