Essentials of Computational Electromagnetics

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Edition: 1st
Format: Hardcover
Pub. Date: 2012-05-15
Publisher(s): Wiley-IEEE Press
List Price: $173.81

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Summary

Sheng and Song provide an overview 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 methods, 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 a quick and deep understanding of the essentials of CEM.

Author Biography

Xin-Qing Sheng, Beijing Institute of Technology, China
Xin-Qing Sheng is a Chang-Jiang Professor at the School of Information and Electronics at the Beijing Institute of Technology. His research interests include computational electromagnetics, scattering and antenna analysis, electromagnetic compatibility, and microwave imaging. He has authored and coauthored over 70 papers in refereed journals, as well as two books. He has written SINOCOM, the simulation software for scattering by complex targets. Sheng is a recipient of the 1995 President Awards of the Chinese Academy of Sciences, the 2001 One Hundred Talents Program awarded by the Chinese Academy of Sciences, the 2004 Cheung Kong Scholar Program awarded by the Ministry of Education, China. Sheng has taught the course "Modern Computational Electromagnetics" for graduate-level students using the book "A Brief Treatise on Computational Electromagnetics"(in Chinese ) for 5 years. He holds a B.S., M.S., and PhD in Electronic Engineering and Information Science from The University of Science and Technology of China.

Wei Song, Beijing Institute of Technology, China
Wei Song is an Assistant Professor of the School of Information and Electronics at the Beijing Institute of Technology. Her research interests include computational electromagnetics, scattering, antennas, and metamaterial analysis. She has published several papers on the topic of numerical methods and metamaterials. She also has contributed a chapter to FDTD Modeling of Metamaterials: Theory and Applications (Artech House Publishers, 2008). She holds a PhD in Electronic Engineering, specializing in Electromagnetics, awarded by the Antennas and Radio Propagation Research Group at University of London.

Table of Contents

Prefacep. ix
Mathematical Formulations for Electromagnetic Fieldsp. 1
Deterministic Vector Partial Differential System of the Electromagnetic Fieldsp. 1
Maxwell's Equationsp. 1
Constitutive Relationsp. 3
Boundary Conditionsp. 3
Maxwell's Equations in the Frequency Domainp. 5
Uniqueness Theoremp. 6
Vector Wave Equation of the Electromagnetic Fieldsp. 8
Vector Integral Equation of the Electromagnetic Fieldsp. 8
Equivalence Principlep. 9
Solution of Maxwell's Equation in Free Spacep. 11
Integral Equations of Metallic Scattering Problemsp. 14
Integral Equation of Homogeneous Dielectric Scattering Problemsp. 16
Integral Equation of Inhomogeneous Dielectric Scattering Problemsp. 19
Integral Equations of Scattering in Layered Mediump. 20
Referencesp. 28
Method of Momentsp. 29
Scattering from 3D PEC Objectsp. 29
Formulation of the Problemp. 30
Discretization in MoMp. 30
Choice of Basis and Testing Functionsp. 31
Discretized Integral Equation (DIE) and the Numerical Behavior Analysisp. 34
Handling of Singularityp. 36
Comparison of EFffi and MFIEp. 71
Interior Resonance Problemp. 73
Fast Multipole Methodp. 74
Calculation of Scattered Fieldsp. 86
Writing Computer Programp. 89
Numerical Examplesp. 94
Parallel Technologyp. 100
Strong Scalabilityp. 106
Weak Scalabilityp. 107
Scattering from Three-Dimensional Homogeneous Dielectric Objectsp. 109
Mathematic Formulation of the Problemp. 111
Discretized Forms and Their Numerical Performancep. 112
Numerical Examplesp. 118
Implementation of Single Integral Equation and the Numerical Characteristicsp. 122
Scattering from Three-Dimensional Inhomogeneous Dielectric Objectsp. 128
Mathematic Formulation of the Problemp. 129
Rooftop Basis Functionsp. 130
Discretization of the VIEp. 131
Singularity Processingp. 134
Fast Solution of the Discretized VIEp. 135
Numerical Examplesp. 136
Essential Points in MoM for Solving Other Problemsp. 136
Scattering from Two-Dimensional Objectsp. 138
Scattering from Periodic Structuresp. 141
Scattering from Two-and-Half-Dimensional Objectsp. 144
Radiation Problemsp. 146
Referencesp. 150
Finite-Element Methodp. 153
Eigenmodes Problems of Dielectric-Loaded Waveguidesp. 153
Functional Formulationp. 154
Choice of Basis Functionsp. 159
Discretization of the Functionalp. 161
Imposition of the Boundary Conditionp. 164
Solution of the Generalized Eigenvalue Equationp. 165
Computer Programmingp. 166
Numerical Examplesp. 170
Discontinuity Problem in Waveguidesp. 170
Functional Formulationp. 171
Choice of the Basis Functionsp. 174
Discretization of the Functionalp. 176
Solution of the Linear Equationsp. 178
Extraction of the Scattering Parametersp. 180
Numerical Examplesp. 182
Scattering from Three-Dimensional Objectsp. 184
Mathematic Formulation of the Problemp. 184
Writing Computer Programp. 187
Numerical Resultsp. 190
Node-Edge Elementp. 192
Construction of Node-Edge Elementp. 192
Implementation of Node-Edge Elementp. 193
Numerical Examplesp. 195
Higher-Order Elementp. 196
Finite-Element Time-Domain Methodp. 200
More Comments on FEMp. 203
Referencesp. 205
Finite-Difference Time-Domain Methodp. 207
Scattering from a Three-Dimensional Objectsp. 207
FDTD Solution Schemep. 208
Perfectly Matched Layersp. 209
Yee Discretizing Schemep. 215
Discretization of the Scatterer Modelp. 220
Treatment on the Curved Boundaryp. 220
Determination of the Unit Size and the Time Stepp. 222
Plane Waves in Time Domainp. 223
Calculation of Incident Plane Waves in Time Domainp. 225
Calculation of the Radar Cross Sectionp. 227
Computer Programing and Numerical Examplesp. 229
Treatment for Special Problemsp. 233
Treatments for Thin Metallic Wiresp. 233
Treatments for Dispersive Mediap. 235
Treatments for Lumped Elementsp. 237
Comparison of the MoM, FEM and FDTD Methodsp. 239
Referencesp. 240
Hybrid Methodsp. 243
Hybrid High-Frequency Asymptotic Methods and Full-Wave Numerical Methodsp. 244
Hybird Physical Optics Method and FEMp. 244
Hybrid Physical Optics Method and Moment Methodp. 248
Hybrid Full-Wave Numerical Methodsp. 251
Hybrid FE-BI-MLFMAp. 252
Hybrid Method Combining EFIE and MFBEp. 266
Hybrid Method Combining FEM and Mode-Matching Methodp. 271
Referencesp. 276
Indexp. 277
Table of Contents provided by Ingram. All Rights Reserved.

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