Essentials of Computational Electromagnetics.
Title:
Essentials of Computational Electromagnetics.
Author:
Sheng, Xin-Qing.
ISBN:
9780470829639
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (291 pages)
Contents:
Essentials of Computational Electromagnetics -- Contents -- Preface -- 1 Mathematical Formulations for Electromagnetic Fields -- 1.1 Deterministic Vector Partial Differential System of the Electromagnetic Fields -- 1.1.1 Maxwell's Equations -- 1.1.2 Constitutive Relations -- 1.1.3 Boundary Conditions -- 1.1.4 Maxwell's Equations in the Frequency Domain -- 1.1.5 Uniqueness Theorem -- 1.2 Vector Wave Equation of the Electromagnetic Fields -- 1.3 Vector Integral Equation of the Electromagnetic Fields -- 1.3.1 Equivalence Principle -- 1.3.2 Solution of Maxwell's Equation in Free Space -- 1.3.3 Integral Equations of Metallic Scattering Problems -- 1.3.4 Integral Equation of Homogeneous Dielectric Scattering Problems -- 1.3.5 Integral Equation of Inhomogeneous Dielectric Scattering Problems -- 1.3.6 Integral Equations of Scattering in Layered Medium -- References -- 2 Method of Moments -- 2.1 Scattering from 3D PEC Objects -- 2.1.1 Formulation of the Problem -- 2.1.2 Discretization in MoM -- 2.1.3 Choice of Basis and Testing Functions -- 2.1.4 Discretized Integral Equation (DIE) and the Numerical Behavior Analysis -- 2.1.5 Handling of Singularity -- 2.1.6 Comparison of EFIE and MFIE -- 2.1.7 Interior Resonance Problem -- 2.1.8 Fast Multipole Method -- 2.1.9 Calculation of Scattered Fields -- 2.1.10 Writing Computer Program -- 2.1.11 Numerical Examples -- 2.1.12 Parallel Technology -- 2.1.13 Strong Scalability -- 2.1.14 Weak Scalability -- 2.2 Scattering from Three-Dimensional Homogeneous Dielectric Objects -- 2.2.1 Mathematic Formulation of the Problem -- 2.2.2 Discretized Forms and Their Numerical Performance -- 2.2.3 Numerical Examples -- 2.2.4 Implementation of Single Integral Equation and the Numerical Characteristics -- 2.3 Scattering from Three-Dimensional Inhomogeneous Dielectric Objects -- 2.3.1 Mathematic Formulation of the Problem.
2.3.2 Rooftop Basis Functions -- 2.3.3 Discretization of the VIE -- 2.3.4 Singularity Processing -- 2.3.5 Fast Solution of the Discretized VIE -- 2.3.6 Numerical Examples -- 2.4 Essential Points in MoM for Solving Other Problems -- 2.4.1 Scattering from Two-Dimensional Objects -- 2.4.2 Scattering from Periodic Structures -- 2.4.3 Scattering from Two-and-Half-Dimensional Objects -- 2.4.4 Radiation Problems -- References -- 3 Finite-Element Method -- 3.1 Eigenmodes Problems of Dielectric-Loaded Waveguides -- 3.1.1 Functional Formulation -- 3.1.2 Choice of Basis Functions -- 3.1.3 Discretization of the Functional -- 3.1.4 Imposition of the Boundary Condition -- 3.1.5 Solution of the Generalized Eigenvalue Equation -- 3.1.6 Computer Programming -- 3.1.7 Numerical Examples -- 3.2 Discontinuity Problem in Waveguides -- 3.2.1 Functional Formulation -- 3.2.2 Choice of the Basis Functions -- 3.2.3 Discretization of the Functional -- 3.2.4 Solution of the Linear Equations -- 3.2.5 Extraction of the Scattering Parameters -- 3.2.6 Numerical Examples -- 3.3 Scattering from Three-Dimensional Objects -- 3.3.1 Mathematic Formulation of the Problem -- 3.3.2 Writing Computer Program -- 3.3.3 Numerical Results -- 3.4 Node-Edge Element -- 3.4.1 Construction of Node-Edge Element -- 3.4.2 Implementation of Node-Edge Element -- 3.4.3 Numerical Examples -- 3.5 Higher-Order Element -- 3.6 Finite-Element Time-Domain Method -- 3.7 More Comments on FEM -- References -- 4 Finite-Difference Time-Domain Method -- 4.1 Scattering from a Three-Dimensional Objects -- 4.1.1 FDTD Solution Scheme -- 4.1.2 Perfectly Matched Layers -- 4.1.3 Yee Discretizing Scheme -- 4.1.4 Discretization of the Scatterer Model -- 4.1.5 Treatment on the Curved Boundary -- 4.1.6 Determination of the Unit Size and the Time Step -- 4.1.7 Plane Waves in Time Domain.
4.1.8 Calculation of Incident Plane Waves in Time Domain -- 4.1.9 Calculation of the Radar Cross Section -- 4.1.10 Computer Programing and Numerical Examples -- 4.2 Treatment for Special Problems -- 4.2.1 Treatments for Thin Metallic Wires -- 4.2.2 Treatments for Dispersive Media -- 4.2.3 Treatments for Lumped Elements -- 4.3 Comparison of the MoM, FEM and FDTD Methods -- References -- 5 Hybrid Methods -- 5.1 Hybrid High-Frequency Asymptotic Methods and Full-Wave Numerical Methods -- 5.1.1 Hybird Physical Optics Method and FEM -- 5.1.2 Hybrid Physical Optics Method and Moment Method -- 5.2 Hybrid Full-Wave Numerical Methods -- 5.2.1 Hybrid FE-BI-MLFMA -- 5.2.2 Hybrid Method Combining EFIE and MFIE -- 5.2.3 Hybrid Method Combining FEM and Mode-Matching Method -- References -- Index.
Abstract:
Essentials of Computational Electromagnetics provides an in-depth introduction of the three main full-wave numerical methods in computational electromagnetics (CEM); namely, the method of moment (MoM), the finite element method (FEM), and the finite-difference time-domain (FDTD) method. Numerous monographs can be found addressing one of the above three methods. However, few give a broad general overview of essentials embodied in these methods, or were published too early to include recent advances. Furthermore, many existing monographs only present the final numerical results without specifying practical issues, such as how to convert discretized formulations into computer programs, and the numerical characteristics of the computer programs. In this book, the authors elaborate the above three methods in CEM using practical case studies, explaining their own research experiences along with a review of current literature. A full analysis is provided for typical cases, including characteristics of numerical methods, helping beginners to develop a quick and deep understanding of the essentials of CEM. Outlines practical issues, such as how to convert discretized formulations into computer programs Gives typical computer programs and their numerical characteristics along with line by line explanations of programs Uses practical examples from the authors' own work as well as in the current literature Includes exercise problems to give readers a better understanding of the material Introduces the available commercial software and their limitations This book is intended for graduate-level students in antennas and propagation, microwaves, microelectronics, and electromagnetics. This text can also be used by researchers in electrical and electronic engineering, and software developers interested in writing their own code or understanding the detailed
workings of code. Companion website for the book: www.wiley.com/go/sheng/cem.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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