Buch, Englisch, 752 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 1510 g
ISBN: 978-1-119-76319-2
Verlag: Wiley
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.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
About the Authors xvii
Foreword xix
Preface xxi
Acknowledgments xxiii
Acronyms xxv
Introduction xxvii
1 Foundations of Electromagnetic Theory 1
1.1 Maxwell Equations 2
1.2 Curl–Curl Equations for the Electric and Magnetic Fields 6
1.3 Boundary Conditions 7
1.4 Poynting Theorem 11
1.5 Vector and Scalar Potentials 15
1.6 Quasi-Electrostatics. Scalar Potential. Capacitance 19
1.7 Quasi-Magnetostatics 21
1.8 Theory of DC and AC Circuits as a Limiting form of Maxwell Equations 31
1.9 Conclusions 35
2 Green’s Functions in Free Space 37
2.1 1D Green’s Function 37
2.2 3D Green’s Function Expansion in Cartesian Coordinates 41
2.3 3D Green’s Function in Cylindrical Coordinates 44
2.4 Physical Interpretation of Conical Waves Forming Sommerfeld Identity 46
2.5 Integral Field Representation Using Green’s Function 50
2.6 Field Decomposition into TE- and TM-waves in Cartesian Coordinates 51
2.7 Free-space Dyadic Green’s Functions of Electric and Magnetic Fields 54
2.8 Conclusions 59
3 Equivalence Principle and Integral Equations in Layered Media 61
3.1 Quasi-Electrostatics Reciprocity Relations in Layered Media 62
3.2 Equivalence Principle for the External Electrostatic Field in Layered Media 63
3.3 Integral Equation of Electrostatics for Metal Object in Layered Media 68
3.4 Integral Equation of Electrostatics for Disjoint Metal and Dielectric Objects in Layered Media 70
3.5 Integral Equation of Electrostatics for Metal and Dielectric Objects Sharing a Common Boundary and Situated in Layered Media 74
3.6 Integral Equation of Electrostatics for Dielectric Objects Sharing a Common Boundary and Situated in Layered Media 77
3.7 Integral Equations of Quasi-Magnetostatics for Wires in Layered Media 81
3.8 Full-Wave Reciprocity Relations in Layered Media 85
3.9 Integral Repres
