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E-raamat: Essentials of Computational Electromagnetics

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(Beijing Institute of Technology), (Beijing Institute of Technology)
  • Formaat: PDF+DRM
  • Sari: IEEE Press
  • Ilmumisaeg: 21-Dec-2011
  • Kirjastus: Wiley-IEEE Press
  • Keel: eng
  • ISBN-13: 9781118179000
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Essentials of Computational ElectromagneticsSuurem pilt
  • Formaat: PDF+DRM
  • Sari: IEEE Press
  • Ilmumisaeg: 21-Dec-2011
  • Kirjastus: Wiley-IEEE Press
  • Keel: eng
  • ISBN-13: 9781118179000
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"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"--

"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"--

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

Preface ix
1 Mathematical Formulations for Electromagnetic Fields
1(28)
1.1 Deterministic Vector Partial Differential System of the Electromagnetic Fields
1(7)
1.1.1 Maxwell's Equations
1(2)
1.1.2 Constitutive Relations
3(1)
1.1.3 Boundary Conditions
3(2)
1.1.4 Maxwell's Equations in the Frequency Domain
5(1)
1.1.5 Uniqueness Theorem
6(2)
1.2 Vector Wave Equation of the Electromagnetic Fields
8(1)
1.3 Vector Integral Equation of the Electromagnetic Fields
8(21)
1.3.1 Equivalence Principle
9(2)
1.3.2 Solution of Maxwell's Equation in Free Space
11(3)
1.3.3 Integral Equations of Metallic Scattering Problems
14(2)
1.3.4 Integral Equation of Homogeneous Dielectric Scattering Problems
16(3)
1.3.5 Integral Equation of Inhomogeneous Dielectric Scattering Problems
19(1)
1.3.6 Integral Equations of Scattering in Layered Medium
20(8)
References
28(1)
2 Method of Moments
29(124)
2.1 Scattering from 3D PEC Objects
29(80)
2.1.1 Formulation of the Problem
30(1)
2.1.2 Discretization in MoM
30(1)
2.1.3 Choice of Basis and Testing Functions
31(3)
2.1.4 Discretized Integral Equation (DIE) and the Numerical Behavior Analysis
34(2)
2.1.5 Handling of Singularity
36(35)
2.1.6 Comparison of EFIE and MFIE
71(2)
2.1.7 Interior Resonance Problem
73(1)
2.1.8 Fast Multipole Method
74(12)
2.1.9 Calculation of Scattered Fields
86(3)
2.1.10 Writing Computer Program
89(5)
2.1.11 Numerical Examples
94(6)
2.1.12 Parallel Technology
100(6)
2.1.13 Strong Scalability
106(1)
2.1.14 Weak Scalability
107(2)
2.2 Scattering from Three-Dimensional Homogeneous Dielectric Objects
109(19)
2.2.1 Mathematic Formulation of the Problem
111(1)
2.2.2 Discretized Forms and Their Numerical Performance
112(6)
2.2.3 Numerical Examples
118(4)
2.2.4 Implementation of Single Integral Equation and the Numerical Characteristics
122(6)
2.3 Scattering from Three-Dimensional Inhomogeneous Dielectric Objects
128(8)
2.3.1 Mathematic Formulation of the Problem
129(1)
2.3.2 Rooftop Basis Functions
130(1)
2.3.3 Discretization of the VIE
131(3)
2.3.4 Singularity Processing
134(1)
2.3.5 Fast Solution of the Discretized VIE
135(1)
2.3.6 Numerical Examples
136(1)
2.4 Essential Points in MoM for Solving Other Problems
136(17)
2.4.1 Scattering from Two-Dimensional Objects
138(3)
2.4.2 Scattering from Periodic Structures
141(3)
2.4.3 Scattering from Two-and-Half-Dimensional Objects
144(2)
2.4.4 Radiation Problems
146(4)
References
150(3)
3 Finite-Element Method
153(54)
3.1 Eigenmodes Problems of Dielectric-Loaded Waveguides
153(17)
3.1.1 Functional Formulation
154(5)
3.1.2 Choice of Basis Functions
159(2)
3.1.3 Discretization of the Functional
161(3)
3.1.4 Imposition of the Boundary Condition
164(1)
3.1.5 Solution of the Generalized Eigenvalue Equation
165(1)
3.1.6 Computer Programming
166(4)
3.1.7 Numerical Examples
170(1)
3.2 Discontinuity Problem in Waveguides
170(14)
3.2.1 Functional Formulation
171(3)
3.2.2 Choice of the Basis Functions
174(2)
3.2.3 Discretization of the Functional
176(2)
3.2.4 Solution of the Linear Equations
178(2)
3.2.5 Extraction of the Scattering Parameters
180(2)
3.2.6 Numerical Examples
182(2)
3.3 Scattering from Three-Dimensional Objects
184(8)
3.3.1 Mathematic Formulation of the Problem
184(3)
3.3.2 Writing Computer Program
187(3)
3.3.3 Numerical Results
190(2)
3.4 Node-Edge Element
192(4)
3.4.1 Construction of Node-Edge Element
192(1)
3.4.2 Implementation of Node-Edge Element
193(2)
3.4.3 Numerical Examples
195(1)
3.5 Higher-Order Element
196(4)
3.6 Finite-Element Time-Domain Method
200(3)
3.7 More Comments on FEM
203(4)
References
205(2)
4 Finite-Difference Time-Domain Method
207(36)
4.1 Scattering from a Three-Dimensional Objects
207(26)
4.1.1 FDTD Solution Scheme
208(1)
4.1.2 Perfectly Matched Layers
209(6)
4.1.3 Yee Discretizing Scheme
215(5)
4.1.4 Discretization of the Scatterer Model
220(1)
4.1.5 Treatment on the Curved Boundary
220(2)
4.1.6 Determination of the Unit Size and the Time Step
222(1)
4.1.7 Plane Waves in Time Domain
223(2)
4.1.8 Calculation of Incident Plane Waves in Time Domain
225(2)
4.1.9 Calculation of the Radar Cross Section
227(2)
4.1.10 Computer Programing and Numerical Examples
229(4)
4.2 Treatment for Special Problems
233(6)
4.2.1 Treatments for Thin Metallic Wires
233(2)
4.2.2 Treatments for Dispersive Media
235(2)
4.2.3 Treatments for Lumped Elements
237(2)
4.3 Comparison of the MoM, FEM and FDTD Methods
239(4)
References
240(3)
5 Hybrid Methods
243(34)
5.1 Hybrid High-Frequency Asymptotic Methods and Full-Wave Numerical Methods
244(7)
5.1.1 Hybird Physical Optics Method and FEM
244(4)
5.1.2 Hybrid Physical Optics Method and Moment Method
248(3)
5.2 Hybrid Full-Wave Numerical Methods
251(26)
5.2.1 Hybrid FE-BI-MLFMA
252(14)
5.2.2 Hybrid Method Combining EFIE and MFIE
266(5)
5.2.3 Hybrid Method Combining FEM and Mode-Matching Method
271(5)
References
276(1)
Index 277
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.
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