Essentials of computational electromagnetics

Essentials of Computational Electromagnetics [END ITALICS] provides an in-depth introduction of the three main full-wave numerical methods in computationalelectromagnetics (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 currentliterature. 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 toconvert discretized formulations into computer programsGives typical computerprograms and their numerical characteristics along with line by line explanations of programsUses practical examples from the authors' own work as well as in the current literatureIncludes exercise problems to give readers a better understanding of the materialIntroduces the available commercial software and their limitationsThis book is intended for graduate-level students in antennas and propagation, microwaves, microelectronics, and electromagnetics. This textcan also be used by researchers in electrical and electronic engineering, andsoftware developers interested in writing their own code or understanding thedetailed workings of code.Companion website for the book: www.wiley.com/go/sheng/cem INDICE: Preface ix1 Mathematical Formulations for Electromagnetic Fields 11.1 Deterministic Vector Partial Differential System of theElectromagnetic Fields 11.1.1 Maxwell’s Equations 11.1.2 Constitutive Relations 31.1.3 BoundaryCondition 31.1.4 Maxwell’s Equations in the Frequency Domain 51.1.5 Uniqueness Theorem 61.2 Vector Wave Equation of the Electromagnetic Fields 81.3 Vector Integral Equation of the Electromagnetic Fields 81.3.1 Equivalence Principle91.3.2 Solution of Maxwell’s Equation in Free Space 111.3.3 Integral Equations of Metallic Scattering Problems 141.3.4 Integral Equation of Homogeneous DielectricScattering Problems 161.3.5 Integral Equation of Inhomogeneous DielectricScattering Problems 191.3.6 Integral Equations of Scattering in Layered Medium 20References 282 Method of Moments 292.1 Scattering from a 3D PEC Object 292.1.1 Formulation of the Problem 302.1.2 Discretization in MoM 302.1.3 Choice of Basis and Testing Functions 312.1.4 Discretized Integral Equation (DIE) and theNumerical Behavior Analysis 342.1.5 Handling of Singularity 362.1.6 Comparison of EFIE and MFIE 712.1.7 Interior Resonance Problem 732.1.8 Fast Multipole Method 742.1.9 Calculation of Scattered Fields 862.1.10 Writing Computer Program 892.1.11 Numerical Examples 932.1.12 Parallel Technology 1012.1.13 Strong Scalability 1062.1.14 Weak Scalability 1072.2 Scattering from a Three-Dimensional Homogeneous Dielectric 1112.2.1 Mathematic Formulation of the Problem 1112.2.2 Discretized Forms and Their Numerical Performance 1122.2.3 Numerical Examples 1182.2.4 Implementation of Single Integral Equation and theNumerical Characteristics 1212.3 Scattering from Three-Dimensional Inhomogeneous Dielectrics 1282.3.1 Mathematical Formulation of the Problem 1292.3.2 Rooftop Basis Functions 1302.3.3 Discretization of the VIE 1322.3.4 Singularity Processing 1342.3.5 Fast Solution of the Discretized VIE 1352.3.6 Numerical Examples 1362.4 Essential Points in MoM for Solving Other Problems 1372.4.1Scattering from Two-Dimensional Objects 1382.4.2 Scattering from Periodic Structures 1412.4.3 Scattering from Two-and-Half-Dimensional Objects 1442.4.4 Radiation Problems 146References 1503 Finite-Element Method 1533.1 Eigenmodes Problems of Dielectric-Loaded Waveguide 1533.1.1 Functional Formulation 1543.1.2 Choice of Basis Functions 1593.1.3 Discretization of the Functional 1613.1.4 Imposition of the Boundary Condition 1643.1.5 Solution of the Generalized Eigenvalue Equation 1653.1.6 Computer Programming 1663.1.7 Numerical Examples 1703.2 Discontinuity Problem in Waveguides 1703.2.1 Functional Formulation 1713.2.2 Choice of the Basis Functions 1743.2.3 Discretization of the Functional 1763.2.4 Solution of the Linear Equations 1783.2.5 Extraction of the Scattering Parameters 1803.2.6 Numerical Examples 1823.3 Scattering from aThree-Dimensional Object 1843.3.1 Mathematic Formulation of the Problem 1843.3.2 Writing Computer Program 1873.3.3 Numerical Results 1903.4 Node-Edge Element 1923.4.1 Construction of Node-Edge Element 1923.4.2 Implementation of Node-Edge Element 1933.4.3 Numerical Examples 1953.5 Higher-Order Elements 1963.6 Finite-Element Time-Domain Method 2003.7 More Comments on FEM 203References 2054 Finite-Difference Time-Domain Method 2074.1 Scattering from a Three-Dimensional Object 2074.1.1 FDTD Solution Scheme 2084.1.2 Perfectly Matched Layers 2094.1.3 Yee Discretizing Scheme 2154.1.4 Discretization of the Scatterer Model 2204.1.5 Treatment on the Curved Boundary 2204.1.6 Determination ofthe Unit Size and the Time Step 2224.1.7 Plane Waves in Time Domain 2234.1.8 Calculation of Incident Plane Waves in Time Domain 2254.1.9 Calculation of the Radar Cross Section 2274.1.10 Computer Programing and Numerical ExamplesÂ2294.2 Treatment for Special Problems 2334.2.1 Treatments for Thin Metallic Wires 2334.2.2 Treatments for Dispersive Media 2354.2.3 Treatments for LumpedElements 2374.3 Comparison of the MoM, FEM and FDTD Methods 239References 2405 Hybrid Methods 2435.1 Hybrid High-Frequency Asymptotic Methods and Full-WaveNumerical Methods 2445.1.1 Hybird Physical Optics Method and FEM 2445.1.2 Hybrid Physical Optics Method and Moment Method 2485.2 Hybrid Full-Wave Numerical Methods 2515.2.1 Hybrid FE-BI-MLFMA 2525.2.2 Hybrid Method Combining EFIEand MFIE 2665.2.3 Hybrid Method Combining FEM and Mode-MatchingMethod 271References 276Index

• ISBN: 978-0-470-82962-2
• Editorial: John Wiley & Sons
• Encuadernacion: Cartoné
• Páginas: 296
• Fecha Publicación: 26/04/2012
• Nº Volúmenes: 1
• Idioma: Inglés