Essentials of Computational Electromagnetics

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.

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 Multipo…