Xin-Qing Sheng, Wei Song

Essentials of Computational Electromagnetics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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: href="http://www.wiley.com/go/sheng/cem">www.wiley.com/go/sheng/cem

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Produktdetails

• Verlag: John Wiley & Sons
• Erscheinungstermin: 21. Dezember 2011
• Englisch
• ISBN-13: 9781118179000
• Artikelnr.: 38235657

Autorenporträt

ZHU Min is Group Executive Vice President of the Bank of China, responsible for group finance, internal control, legal and compliance, strategy and research. He joined the Bank of China in 1996, and led the group restructuring and the US$15 billion IPO in 2006, and the Bank of China Hong Kong restructuring and IPO in 2002. Prior to joining the Bank of China, Mr. Zhu worked as an Economist at the World Bank in Washington, D.C. for six years, before which he taught economics at Johns Hopkins University and Fudan University. Mr. Zhu received a Ph.D. and an M.A. in economics from Johns Hopkins University, an M.P.A. from the Woodrow Wilson School of Public and International Affairs of Princeton University, and a B.A. in economics from Fudan University. CAI Jinqing is a partner of Brunswick Group, an international financial communication firm. She advises multinational corporations and Chinese companies on strategic communication issues as well as on cross-border Merger & Acquisition transactions in the region. From 1993-2002, she worked in New York and Hong Kong in management consulting and venture capital focusing on China investments. Ms. Cai graduated from Wellesley College with a Bachelor of Arts degree and obtained her Master of Public Affairs from the Woodrow Wilson School of International and Public Affairs of Princeton University. Martha Avery is President, Avery Press, Inc., which works with Chinese publishers and individuals in bringing Chinese intellectual property to a western market. She served as General Manager for John Wiley in China from 1982 to 1990, following four years in the Commerce Department handling China trade in the 1970s, an MBA at the Wharton School, and a period in Warburg Paribas Becker in Wall Street. She established the Publishing Program for the Soros Foundation in Mongolia, and went on to serve in the Budapest offices of OSI. Throughout her career, Ms. Avery has continued to translate Chinese fiction and non-fiction and to author books.

Inhaltsangabe

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