Theory and Computation of Electromagnetic Fields in Layered Media

Vladimir Okhmatovski , Shucheng Zheng 지음

Wiley-IEEE Press 2024년 04월 09일 출간

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Explore the algorithms and numerical methods used to compute electromagnetic fields in multi-layered media In Theory and Computation of Electromagnetic Fields in Layered Media, two distinguished electrical engineering researchers deliver a detailed and up-to-date overview of the theory and numerical methods used to determine electromagnetic fields in layered media. The book begins with an introduction to Maxwell’s equations, the fundamentals of electromagnetic theory, and concepts and definitions relating to Green’s function. It then moves on to solve canonical problems in vertical and horizontal dipole radiation, describe Method of Moments schemes, discuss integral equations governing electromagnetic fields, and explains the Michalski-Zheng theory of mixed-potential Green’s function representation in multi-layered media. Chapters on the evaluation of Sommerfeld integrals, procedures for far field evaluation, and the theory and application of hierarchical matrices are also included, along with: A thorough introduction to free-space Green’s functions, including the delta-function model for point charge and dipole current Comprehensive explorations of the traditional form of layered medium Green’s function in three dimensions Practical discussions of electro-quasi-static and magneto-quasi-static fields in layered media, including electrostatic fields in two and three dimensions In-depth examinations of the rational function fitting method, including direct spectra fitting with VECTFIT algorithms Perfect for scholars and students of electromagnetic analysis in layered media, Theory and Computation of Electromagnetic Fields in Layered Media will also earn a place in the libraries of CAD industry engineers and software developers working in the area of computational electromagnetics.

목차

Contributors xix Foreword xxi Preface xxv Acknowledgments xxvii Acronyms xxxi Introduction xxxv 1 Foundations of Electromagnetic Theory 1 1.1 Maxwell Equations 2 1.1.1 Time-domain Maxwell Equations in differential form 2 1.1.2 Frequency domain Maxwell Equations in differential form 4 1.1.3 Frequency-domain Maxwell Equations in lossy medium 6 1.2 Curl-curl equations for the electric and magnetic fields 7 1.3 Boundary conditions 8 1.4 Poynting Theorem 13 1.4.1 Time-domain Poynting theorem and instanteneous balance of power 13 1.4.2 Frequency-domain Poynting theorem and average balance of energy 15 1.5 Vector and scalar potentials 18 1.5.1 Magnetic vector potential Ae and electric scalar potential ‑e 18 1.5.2 Electric vector potential Am and magnetic scalar potential ‑m 20 1.6 Quasi-electrostatics Scalar potential Capacitance 23 1.7 Quasi-magnetostatics 25 1.7.1 Governing equations for potentials and fields in time domain 25 1.7.2 Governing equations for potentials and fields in frequency (spectral) domain 26 1.7.3 Energy definition of self-inductance, mutual inductance, and resistance 29 1.7.4 Field-based definition of self-inductance and mutual inductance 33 1.8 Theory of DC and AC circuits as a limiting form of Maxwell equations 35 1.9 Conclusions 40 2 Green’s Functions in Free Space 43 2.1 1D Green’s function 43 2.2 3D Green’s function expansion in Cartesian coordinates 48 2.3 3D Green’s function in cylindrical coordinates 50 2.4 Physical Interpretation of Conical Waves Forming Sommerfeld Identity 53 2.5 Integral field representation using Green’s function 57 2.6 Field Decomposition into TE- and TM-waves in Cartesian coordinates 58 2.7 Free-space dyadic Green’s functions of electric and magnetic field 61 2.8 Conclu

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저자(글) Vladimir Okhmatovski

저자(글) Shucheng Zheng