Foundations of Applied Electrodynamics

This unique book brings together the fundamental aspects in antenna and wave propagation, microwave theory, relativistic and quantum electrodynamics in a single volume.
In this book, the author takes a fresh look at the essential concepts and methods of electrodynamics as a whole, uniting the most relevant contemporary topics under a common mathematical framework. The book contains clear explanations of high–level concepts as well as the mutual relationships between the essential ideas of electromagnetic theory. Starting with the fundamentals of electrodynamics, it methodically covers a wide spectrum of research and applications that stem from electromagnetic phenomena, before concluding with more advanced topics such as quantum electrodynamics.
Key Features:
•One of the first books on electromagnetics that contains both the special and general theory of relativity
•Includes new advances and methodologies in applied electrodynamics, and provides the whole picture of the theory of electrodynamics in most active areas of engineering applications
•Systematically deals with eigenvalue problems, integral equation formulations and transient phenomena in various areas of applied electrodynamics
•Introduces the complete theory of spherical vector wave functions, and investigates the upper bounds of the product of gain and bandwidth for an arbitrary antenna
•Presents the field approach to multiple antenna system, providing a theoretical tool for the prediction of channel models of multi–input and multi–output system
Summarising both engineering and theoretical electromagnetism in one volume, this book is an essential reference for graduate students, research engineers, physicists, and applied mathematicians, as well as a guide for those who wish to advance their analytical techniques for studying applied electrodynamics.

Spis treści:
Chapter 1 Maxwell Equations
1.1 Experimental laws
1.2 Maxwell equations, constitutive relation, and dispersion
1.3 Theorems for electromagnetic fields
1.4 Wavepackets
Chapter 2 Solutions of Maxwell Equations
2.1 Linear space and linear operator
2.2 Classification of partial differential equations
2.3 Modern theory of partial differential equations
2.4 Method of separation of variables
2.5 Method of Green’s function
2.6 Potential theory
2.7 Variational principles
Chapter 3 Eigenvalue Problems
3.1 Introduction to linear operator theory
3.2 Eigenvalue problems for symmetric operators
3.3 Interior electromagnetic problems
3.4 Exterior electromagnetic problems
3.5 Eigenfunctions of curl operator
Chapter 4 Antenna Theory
4.1 Antenna Parameters
4.2 Properties of far field patterns
4.3 Spherical vector wavefunctions
4.4 Foster theorems and relationship between quality factor and bandwidth
4.5 Minimum possible antenna quality factor
4.6 Maximum possible product of gain and bandwidth
4.7 Evaluation of antenna quality factor
Chapter 5 Integral Equation Formulations
5.1 Integral equations
5.2 TEM transmission lines
5.3 Waveguide eigenvalue problems
5.4 Metal cavity resonators
5.5 Scattering problems
5.6 Multiple metal antenna system
5.7 Numerical methods
Chapter 6 Network Formulations
6.1 Transmission line theory
6.2 Scattering parameters for general circuits
6.3 Waveguide junctions
6.4 Multiple antenna system
6.5 Power transmission between antennas
6.6 Network parameters in a scattering environment
6.7 RLC equivalent circuits
Chapter 7 Fields in Inhomogeneous Media
7.1 Foundations of spectrum analysis
7.2 Plane waves in inhomogeneous media
7.3 Inhomogeneous metal waveguides
7.4 Optical fibers
7.5 Inhomogeneous cavity resonator
Chapter 8 Time–domain Theory
8.1 Time–domain theory of metal wa veguides
8.2 Time–domain theory of metal cavity resonators
8.3 Spherical wave expansions in time domain
8.4 Radiation and scattering in time domain
Chapter 9 Relativity
9.1 Tensor algebra on linear spaces
9.2 Einstein’s postulates for special relativity
9.3 Lorentz transformation
9.4 Relativistic mechanics in inertial reference frame
9.5 Electrodynamics in inertial reference frame
9.6 General theory of relativity
Chapter 10 Quantization of Electromagnetic Fields
10.1 Fundamentals of quantum mechanics
10.2 Quantization of free electromagnetic fields
10.3 Quantum statistics
10.4 Interaction of fields with small particle system
10.5 Relativistic quantum mechanics
Appendix A. Set theory
A.1 Basic concepts
A.2 Set operations
A.3 Set algebra
Appendix B. Vector analysis
B.1 Formulas from vector analysis
B.2 Vector analysis in curvilinear coordinate systems
Appendix C. Special functions
C.1 Bessel functions
C.2 Spherical Bessel functions
C.3 Legendre functions and associated Legendre functions
Appendix D. SI Unit System
Bibliography
Subject index


Okładka tylna:
This unique book brings together the fundamental aspects in antenna and wave propagation, microwave theory, relativistic and quantum electrodynamics in a single volume.
In this book, the author takes a fresh look at the essential concepts and methods of electrodynamics as a whole, uniting the most relevant contemporary topics under a common mathematical framework. The book contains clear explanations of high–level concepts as well as the mutual relationships between the essential ideas of electromagnetic theory. Starting with the fundamentals of electrodynamics, it methodically covers a wide spectrum of research and applications that stem from electromagnetic phenomena, before concluding with more advanced topics such a s quantum electrodynamics.
Key Features:
•One of the first books on electromagnetics that contains both the special and general theory of relativity
•Includes new advances and methodologies in applied electrodynamics, and provides the whole picture of the theory of electrodynamics in most active areas of engineering applications
•Systematically deals with eigenvalue problems, integral equation formulations and transient phenomena in various areas of applied electrodynamics
•Introduces the complete theory of spherical vector wave functions, and investigates the upper bounds of the product of gain and bandwidth for an arbitrary antenna
•Presents the field approach to multiple antenna system, providing a theoretical tool for the prediction of channel models of multi–input and multi–output system
Summarising both engineering and theoretical electromagnetism in one volume, this book is an essential reference for graduate students, research engineers, physicists, and applied mathematicians, as well as a guide for those who wish to advance their analytical techniques for studying applied electrodynamics.