Essentials of Computational Electromagnetics.
By: Sheng, Xin-Qing.
Contributor(s): Song, Wei.Material type: BookPublisher: Hoboken : John Wiley & Sons, 2012Description: 1 online resource (291 pages).Content type: text Media type: computer Carrier type: online resourceISBN: 9780470829639; 047082963X; 9780470829646; 0470829648; 1299965938; 9781299965935.Subject(s): Electromagnetism -- Data processing | Electromagnetism -- Mathematical models | SCIENCE -- Electromagnetism | Science | Physics | SCIENCE -- Physics -- Electricity | SCIENCE -- Physics -- Electromagnetism | Electromagnetism -- Data processing | Electromagnetism -- Mathematical modelsGenre/Form: Electronic books. | Electronic books.Additional physical formats: Print version:: Essentials of Computational Electromagnetics.DDC classification: 537.0285 Online resources: Wiley Online Library
Includes bibliographical references and index.
Essentials of Computational Electromagnetics; Contents; Preface; 1 Mathematical Formulations for Electromagnetic Fields; 1.1 Deterministic Vector Partial Differential System of the Electromagnetic Fields; 1.1.1 Maxwell's Equations; 1.1.2 Constitutive Relations; 1.1.3 Boundary Conditions; 1.1.4 Maxwell's Equations in the Frequency Domain; 1.1.5 Uniqueness Theorem; 1.2 Vector Wave Equation of the Electromagnetic Fields; 1.3 Vector Integral Equation of the Electromagnetic Fields; 1.3.1 Equivalence Principle; 1.3.2 Solution of Maxwell's Equation in Free Space.
1.3.3 Integral Equations of Metallic Scattering Problems; 1.3.4 Integral Equation of Homogeneous Dielectric Scattering Problems; 1.3.5 Integral Equation of Inhomogeneous Dielectric Scattering Problems; 1.3.6 Integral Equations of Scattering in Layered Medium; References; 2 Method of Moments; 2.1 Scattering from 3D PEC Objects; 2.1.1 Formulation of the Problem; 2.1.2 Discretization in MoM; 2.1.3 Choice of Basis and Testing Functions; 2.1.4 Discretized Integral Equation (DIE) and the Numerical Behavior Analysis; 2.1.5 Handling of Singularity; 2.1.6 Comparison of EFIE and MFIE.
2.1.7 Interior Resonance Problem; 2.1.8 Fast Multipole Method; 2.1.9 Calculation of Scattered Fields; 2.1.10 Writing Computer Program; 2.1.11 Numerical Examples; 2.1.12 Parallel Technology; 2.1.13 Strong Scalability; 2.1.14 Weak Scalability; 2.2 Scattering from Three-Dimensional Homogeneous Dielectric Objects; 2.2.1 Mathematic Formulation of the Problem; 2.2.2 Discretized Forms and Their Numerical Performance; 2.2.3 Numerical Examples; 2.2.4 Implementation of Single Integral Equation and the Numerical Characteristics; 2.3 Scattering from Three-Dimensional Inhomogeneous Dielectric Objects.
2.3.1 Mathematic Formulation of the Problem; 2.3.2 Rooftop Basis Functions; 2.3.3 Discretization of the VIE; 2.3.4 Singularity Processing; 2.3.5 Fast Solution of the Discretized VIE; 2.3.6 Numerical Examples; 2.4 Essential Points in MoM for Solving Other Problems; 2.4.1 Scattering from Two-Dimensional Objects; 2.4.2 Scattering from Periodic Structures; 2.4.3 Scattering from Two-and-Half-Dimensional Objects; 2.4.4 Radiation Problems; References; 3 Finite-Element Method; 3.1 Eigenmodes Problems of Dielectric-Loaded Waveguides; 3.1.1 Functional Formulation; 3.1.2 Choice of Basis Functions.
3.1.3 Discretization of the Functional; 3.1.4 Imposition of the Boundary Condition; 3.1.5 Solution of the Generalized Eigenvalue Equation; 3.1.6 Computer Programming; 3.1.7 Numerical Examples; 3.2 Discontinuity Problem in Waveguides; 3.2.1 Functional Formulation; 3.2.2 Choice of the Basis Functions; 3.2.3 Discretization of the Functional; 3.2.4 Solution of the Linear Equations; 3.2.5 Extraction of the Scattering Parameters; 3.2.6 Numerical Examples; 3.3 Scattering from Three-Dimensional Objects; 3.3.1 Mathematic Formulation of the Problem; 3.3.2 Writing Computer Program; 3.3.3 Numerical Results.
3.4 Node-Edge Element.
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.
Print version record.