Short description Foundations of Applied Electrodynamics takes a fresh look at the essential concepts and methods of electrodynamics, uniting the most relevant contemporary topics under a common mathematical framework. 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 mechanics. By summarizing both engineering and theoretical electromagnetism in one volume, this book is an essential reference for practicing engineers, as well as a guide for those who wish to advance their analytical techniques for studying applied electrodynamics.
From the contents 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 waveguides
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
