Essentials of computational electromagnetics

Title:

Personal Author:

Sheng, Xin-Qing, 1968-

Publication Information:

Hoboken, N.J. : Wiley, c2012

Physical Description:

x, 279 p. : ill. ; 26 cm.

ISBN:

9780470829622

Subject Term:

Electromagnetism -- Data processing

Electromagnetism -- Mathematical models

Added Author:

Song, Wei

Available:*

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010298164	QC760.54 S54 2012	Open Access Book	Book	Searching... Unknown

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

Author Notes

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.

Preface	p. ix
1 Mathematical Formulations for Electromagnetic Fields	p. 1
1.1 Deterministic Vector Partial Differential System of the Electromagnetic Fields	p. 1
1.1.1 Maxwell's Equations	p. 1
1.1.2 Constitutive Relations	p. 3
1.1.3 Boundary Conditions	p. 3
1.1.4 Maxwell's Equations in the Frequency Domain	p. 5
1.1.5 Uniqueness Theorem	p. 6
1.2 Vector Wave Equation of the Electromagnetic Fields	p. 8
1.3 Vector Integral Equation of the Electromagnetic Fields	p. 8
1.3.1 Equivalence Principle	p. 9
1.3.2 Solution of Maxwell's Equation in Free Space	p. 11
1.3.3 Integral Equations of Metallic Scattering Problems	p. 14
1.3.4 Integral Equation of Homogeneous Dielectric Scattering Problems	p. 16
1.3.5 Integral Equation of Inhomogeneous Dielectric Scattering Problems	p. 19
1.3.6 Integral Equations of Scattering in Layered Medium	p. 20
References	p. 28
2 Method of Moments	p. 29
2.1 Scattering from 3D PEC Objects	p. 29
2.1.1 Formulation of the Problem	p. 30
2.1.2 Discretization in MoM	p. 30
2.1.3 Choice of Basis and Testing Functions	p. 31
2.1.4 Discretized Integral Equation (DIE) and the Numerical Behavior Analysis	p. 34
2.1.5 Handling of Singularity	p. 36
2.1.6 Comparison of EFffi and MFIE	p. 71
2.1.7 Interior Resonance Problem	p. 73
2.1.8 Fast Multipole Method	p. 74
2.1.9 Calculation of Scattered Fields	p. 86
2.1.10 Writing Computer Program	p. 89
2.1.11 Numerical Examples	p. 94
2.1.12 Parallel Technology	p. 100
2.1.13 Strong Scalability	p. 106
2.1.14 Weak Scalability	p. 107
2.2 Scattering from Three-Dimensional Homogeneous Dielectric Objects	p. 109
2.2.1 Mathematic Formulation of the Problem	p. 111
2.2.2 Discretized Forms and Their Numerical Performance	p. 112
2.2.3 Numerical Examples	p. 118
2.2.4 Implementation of Single Integral Equation and the Numerical Characteristics	p. 122
2.3 Scattering from Three-Dimensional Inhomogeneous Dielectric Objects	p. 128
2.3.1 Mathematic Formulation of the Problem	p. 129
2.3.2 Rooftop Basis Functions	p. 130
2.3.3 Discretization of the VIE	p. 131
2.3.4 Singularity Processing	p. 134
2.3.5 Fast Solution of the Discretized VIE	p. 135
2.3.6 Numerical Examples	p. 136
2.4 Essential Points in MoM for Solving Other Problems	p. 136
2.4.1 Scattering from Two-Dimensional Objects	p. 138
2.4.2 Scattering from Periodic Structures	p. 141
2.4.3 Scattering from Two-and-Half-Dimensional Objects	p. 144
2.4.4 Radiation Problems	p. 146
References	p. 150
3 Finite-Element Method	p. 153
3.1 Eigenmodes Problems of Dielectric-Loaded Waveguides	p. 153
3.1.1 Functional Formulation	p. 154
3.1.2 Choice of Basis Functions	p. 159
3.1.3 Discretization of the Functional	p. 161
3.1.4 Imposition of the Boundary Condition	p. 164
3.1.5 Solution of the Generalized Eigenvalue Equation	p. 165
3.1.6 Computer Programming	p. 166
3.1.7 Numerical Examples	p. 170
3.2 Discontinuity Problem in Waveguides	p. 170
3.2.1 Functional Formulation	p. 171
3.2.2 Choice of the Basis Functions	p. 174
3.2.3 Discretization of the Functional	p. 176
3.2.4 Solution of the Linear Equations	p. 178
3.2.5 Extraction of the Scattering Parameters	p. 180
3.2.6 Numerical Examples	p. 182
3.3 Scattering from Three-Dimensional Objects	p. 184
3.3.1 Mathematic Formulation of the Problem	p. 184
3.3.2 Writing Computer Program	p. 187
3.3.3 Numerical Results	p. 190
3.4 Node-Edge Element	p. 192
3.4.1 Construction of Node-Edge Element	p. 192
3.4.2 Implementation of Node-Edge Element	p. 193
3.4.3 Numerical Examples	p. 195
3.5 Higher-Order Element	p. 196
3.6 Finite-Element Time-Domain Method	p. 200
3.7 More Comments on FEM	p. 203
References	p. 205
4 Finite-Difference Time-Domain Method	p. 207
4.1 Scattering from a Three-Dimensional Objects	p. 207
4.1.1 FDTD Solution Scheme	p. 208
4.1.2 Perfectly Matched Layers	p. 209
4.1.3 Yee Discretizing Scheme	p. 215
4.1.4 Discretization of the Scatterer Model	p. 220
4.1.5 Treatment on the Curved Boundary	p. 220
4.1.6 Determination of the Unit Size and the Time Step	p. 222
4.1.7 Plane Waves in Time Domain	p. 223
4.1.8 Calculation of Incident Plane Waves in Time Domain	p. 225
4.1.9 Calculation of the Radar Cross Section	p. 227
4.1.10 Computer Programing and Numerical Examples	p. 229
4.2 Treatment for Special Problems	p. 233
4.2.1 Treatments for Thin Metallic Wires	p. 233
4.2.2 Treatments for Dispersive Media	p. 235
4.2.3 Treatments for Lumped Elements	p. 237
4.3 Comparison of the MoM, FEM and FDTD Methods	p. 239
References	p. 240
5 Hybrid Methods	p. 243
5.1 Hybrid High-Frequency Asymptotic Methods and Full-Wave Numerical Methods	p. 244
5.1.1 Hybird Physical Optics Method and FEM	p. 244
5.1.2 Hybrid Physical Optics Method and Moment Method	p. 248
5.2 Hybrid Full-Wave Numerical Methods	p. 251
5.2.1 Hybrid FE-BI-MLFMA	p. 252
5.2.2 Hybrid Method Combining EFIE and MFBE	p. 266
5.2.3 Hybrid Method Combining FEM and Mode-Matching Method	p. 271
References	p. 276
Index	p. 277

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