- Introduction
- Representations of Electromagnetic Fields
- Introduction
- Maxwell’s Equations
- Maxwell’s Equations in Time–Dependent Form
- Maxwell’s Equations in the Frequency Domain
- Maxwell’s Equations in the ¯s–Domain
- Constitutive Relations
- Boundary Conditions
- Theorems and Concepts for Electromagnetic Field Computation
- Energy and Power
- Field Theoretic Formulation of Tellegen’s Theorem
- Uniqueness Theorem
- Equivalence Theorem
- Field Potentials
- Separation of Variables: The Scalar Wave Equation
- The Scalar Wave Equation in Cartesian Coordinates
- The Scalar Wave Equation in Spherical and Polar Coordinates
- The Scalar Wave Equation in Cylindrical Polar Coordinates
- Sturm–Liouville Problems
- Source–Free Solutions: Eigenvalue Problem
- Source-Driven Solutions: Green’s Function Problem
- Relation Between the Spectral (Characteristic) Green’s Function and the Eigenvalue Problems
- Radiation and Edge Condition
- Radiation Condition
- Edge Condition in Two Dimensions
- Reciprocity and Field Equivalence Principles
- Reaction in Electromagnetic Theory
- Lorentz Reciprocity Theorem
- Wave–Guiding Configurations
- Introduction
- The Transverse Field Equations
- TE and TM Potentials
- Modal Representations of the Fields and Their Sources
- Scalarization and Modal Representation of Dyadic Green’s
- Functions in Uniform Regions
- Fields in Source-Free, Homogeneous Regions
- Green’s Functions for the Transmission-Line Equations
- Modal Representations of the Dyadic Green’s Functions in a Piecewise Homogeneous Medium
- Modal Representations of the Dyadic Green’s Functions in an Inhomogeneous Medium
- Network–Oriented Formulation of the Characteristic Green’s Functions
- 1D Characteristic Green’s Function and Eigenfunction
- Two–Dimensional Problems
- Introduction
- Electric Line Source in a PEC Parallel Plate Waveguide
- Constituent One–Dimensional Problems: x-Domain
- Problems in the z-Domain
- Two-Dimensional Waveguide:(Finite x)–(Bilaterally
- Infinite z)–Domain
- Electric Line Source in Radial–Angular Waveguides
- Introduction
- Constituent 1D Problems
- Eigenvalue Problem in the ρ–Domain
- Spectral Green’s function problem in the ρ–domain
- Two–Dimensional Green’s Functions: Alternative Representations
- Network Representation of Electromagnetic Fields