| Introduction | p. 1 |
| Motivation | p. 1 |
| The Architecture | p. 3 |
| Problem Partitioning | p. 3 |
| Network Representations | p. 4 |
| Methodological Hybridization | p. 5 |
| Organization of the Book | p. 6 |
| References | p. 9 |
| Representations of Electromagnetic Fields | p. 13 |
| Introduction | p. 13 |
| Maxwell's Equations | p. 14 |
| Maxwell's Equations in Time-Dependent Form | p. 14 |
| Maxwell's Equations in the Frequency Domain | p. 17 |
| Maxwell's Equations in the &sbar;-Domain | p. 18 |
| Constitutive Relations | p. 18 |
| Boundary Conditions | p. 20 |
| Theorems and Concepts for Electromagnetic Field Computation | p. 21 |
| Energy and Power | p. 22 |
| Field Theoretic Formulation of Tellegen's Theorem | p. 26 |
| Uniqueness Theorem | p. 27 |
| Equivalence Theorem | p. 28 |
| Field Potentials | p. 32 |
| Separation of Variables: The Scalar Wave Equation | p. 35 |
| The Scalar Wave Equation in Cartesian Coordinates | p. 37 |
| The Scalar Wave Equation in Spherical and Polar Coordinates | p. 40 |
| The Scalar Wave Equation in Cylindrical Polar Coordinates | p. 41 |
| Sturm-Liouville Problems | p. 43 |
| Source-Free Solutions: Eigenvalue Problem | p. 43 |
| Source-Driven Solutions: Green's Function Problem | p. 49 |
| Relation Between the Spectral (Characteristic) Green's Function and the Eigenvalue Problems | p. 54 |
| Radiation and Edge Condition | p. 56 |
| Radiation Condition | p. 56 |
| Edge Condition in Two Dimensions | p. 58 |
| Reciprocity and Field Equivalence Principles | p. 59 |
| Reaction in Electromagnetic Theory | p. 59 |
| Lorentz Reciprocity Theorem | p. 60 |
| References | p. 67 |
| Wave-Guiding Configurations | p. 69 |
| Introduction | p. 69 |
| The Transverse Field Equations | p. 70 |
| Source-Free Case | p. 70 |
| Source-Excited Case | p. 72 |
| TE and TM Potentials | p. 74 |
| Modal Representations of the Fields and Their Sources | p. 77 |
| Scalarization and Modal Representation of Dyadic Green's Functions in Uniform Regions | p. 80 |
| Mode Functions | p. 81 |
| Fields in Source-Free, Homogeneous Regions | p. 82 |
| Green's Functions for the Transmission-Line Equations | p. 83 |
| Modal Representations of the Dyadic Green's Functions in a Piecewise Homogeneous Medium | p. 85 |
| Modal Representations of the Dyadic Green's Functions in an Inhomogeneous Medium | p. 91 |
| Network-Oriented Formulation of the Characteristic Green's Functions | p. 93 |
| Alternative Representations | p. 99 |
| 1D Characteristic Green's Function and Eigenfunction | p. 104 |
| References | p. 123 |
| Two-Dimensional Problems | p. 125 |
| Introduction | p. 125 |
| Electric Line Source in a PEC Parallel Plate Waveguide | p. 125 |
| Constituent One-Dimensional Problems: x-Domain | p. 126 |
| Problems in the z-Domain | p. 131 |
| Two-Dimensional Waveguide: (Finite x)-(Bilaterally Infinite z)-Domain | p. 141 |
| Electric Line Source in Radial-Angular Waveguides | p. 150 |
| Introduction | p. 150 |
| Constituent 1D Problems | p. 151 |
| Eigenvalue Problem in the ¿-Domain | p. 152 |
| Spectral Green's function problem in the ¿-domain | p. 153 |
| Two-Dimensional Green's Functions: Alternative Representations | p. 153 |
| References | p. 155 |
| Network Representation of Electromagnetic Fields | p. 157 |
| Introduction | p. 157 |
| Method of Moments | p. 159 |
| Expansion Set | p. 161 |
| Regions of Zero Volume: the Connection Network | p. 164 |
| The Connection Network | p. 164 |
| Tellegen's Theorem for Discretized Fields | p. 166 |
| Testing of the Field Continuity Equations | p. 166 |
| Independent Quantities | p. 167 |
| Tellegen's Theorem and its Implications | p. 168 |
| Application to Orthonormal Bases | p. 168 |
| Canonical Forms of the Connection Network | p. 169 |
| Network Representations for Regions of Finite Volume | p. 171 |
| Foster Representation of the Transmission Line Resonator | p. 172 |
| Green's Function and Multiport Foster Representation | p. 176 |
| The Canonical Foster Representation of Distributed Circuits | p. 178 |
| Regions Extending to Infinity: Radiation Problems | p. 180 |
| The Cauer Canonic Representation of Radiation Modes | p. 183 |
| The Complete Equivalent Circuit of Radiating Electromagnetic Structures | p. 185 |
| Solving the Entire Field Problem via Tableau Equations | p. 186 |
| Primary and Secondary Fields | p. 186 |
| Choice of Primary and Secondary Fields for a Subregion | p. 189 |
| A Constraint on the Choice of Primary and Secondary Fields | p. 189 |
| Topological Relationships: Operator Form | p. 190 |
| The Tableau Equations for Fields: Operator Form | p. 191 |
| Solving the Entire Field Problem via Tableau Equations: Discretized Form | p. 191 |
| Field Discretization | p. 192 |
| The Tableau Equations for Discretized Fields | p. 195 |
| References | p. 197 |
| Appendix | p. 199 |
| Index | p. 209 |
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