| Preface | p. ix |
| Fundamentals of Electromagnetic Field Analysis | p. 1 |
| Basic Equations for Electromagnetic Fields | p. 1 |
| The Vector Potential, the Scalar Potential, and the Hertz Vectors | p. 5 |
| Electromagnetic Fields in Regions That Are Uniform in One Direction | p. 9 |
| Boundary Conditions and the Radiation Condition | p. 11 |
| Green's Functions and the Dirac Delta Function | p. 14 |
| Free-space Green's Functions | p. 16 |
| Green's Function for the Three-Dimensional Scalar Helmholtz Equation | p. 16 |
| Green's Function for the Two-Dimensional Scalar Helmholtz Equation | p. 17 |
| Green's Function for Laplace's Equation | p. 18 |
| Solutions of the Scalar Helmholtz Equation | p. 19 |
| Expressions in Cartesian Coordinates | p. 19 |
| Expressions in Cylindrical Coordinates | p. 20 |
| Expressions in Spherical Coordinates | p. 22 |
| Plane Waves | p. 25 |
| Expressions in Cylindrical Coordinates | p. 26 |
| Expression in Spherical Coordinates | p. 28 |
| Scattering by Simply Shaped Objects | p. 31 |
| The Dielectric Circular Cylinder | p. 31 |
| The Perfectly Conducting Circular Cylinder | p. 37 |
| The Dielectric Sphere | p. 38 |
| The Perfectly Conducting Sphere | p. 41 |
| Reflection and Refraction at a Plane Surface | p. 41 |
| TM Wave Incidence | p. 42 |
| TE Wave Incidence | p. 43 |
| Electromagnetic Fields in the Vicinity of a Wedge | p. 44 |
| The Dielectric Wedge | p. 44 |
| The Perfectly Conducting Wedge | p. 50 |
| References | p. 52 |
| Integral Representations | p. 55 |
| Scalar Field Problems | p. 56 |
| The Derivation | p. 56 |
| Two-Dimensional Scattering Problems | p. 58 |
| Electrostatic Field Problems | p. 63 |
| Vector Field Problems | p. 65 |
| Transformation of Three-Dimensional Expressions into Two-Dimensional Expressions | p. 74 |
| Vectorial Integral Representations in the Cross-sectional Plane | p. 74 |
| Integral Representations for the Axial Field Components | p. 78 |
| Dielectric Waveguide Mode Fields | p. 82 |
| Fields in Terms of the Source Distributions | p. 90 |
| Derivation Based on the Reciprocity Theorem | p. 92 |
| Far Fields and Scattering Cross Sections | p. 94 |
| Three-Dimensional Problems | p. 94 |
| Two-Dimensional Problems | p. 99 |
| Reciprocity Between Incident and Scattered Waves | p. 102 |
| Integral Representations Applied to the Problem of Reflection and Refraction at a Plane Interface | p. 104 |
| Local Rectangular Coordinates | p. 108 |
| Derivatives of the Unit Vectors of a Curvilinear Coordinate System | p. 120 |
| References | p. 124 |
| Integral Equations | p. 127 |
| Integral Representations with the Observation Point on the Boundary | p. 128 |
| A Limiting Procedure for Three-Dimensional Scalar Field Problems | p. 128 |
| A Limiting Procedure for Two-Dimensional Scalar Field Problems | p. 131 |
| Integral Representations with the Observation Point on the Boundary for Scalar Field Problems | p. 134 |
| Treatment of the Second Partial Derivative of the Green's Function | p. 136 |
| Integral Representations with the Observation Point on the Boundary for Vector Field Problems | p. 138 |
| Fundamental Integral Equations | p. 140 |
| General Formulation | p. 140 |
| Scattering by a Perfectly Conducting Cylinder: TM Wave Incidence | p. 149 |
| Scattering by a Perfectly Conducting Cylinder: TE Wave Incidence | p. 151 |
| Scattering by a Dielectric Cylinder: TM Wave Incidence | p. 156 |
| Scattering by a Dielectric Cylinder: TE Wave Incidence | p. 160 |
| A Perfectly Conducting Body in an Electrostatic Field | p. 163 |
| A Dielectric Body in an Electrostatic Field | p. 167 |
| Guided Modes of a Dielectric Waveguide | p. 167 |
| Modes of a Closed Waveguide | p. 174 |
| Integral Equations When There are Conditions on Other Boundaries | p. 177 |
| Involvement of Resonant Solutions | p. 180 |
| General Theory | p. 180 |
| The Perfectly Conducting Cylinder | p. 182 |
| The Dielectric Cylinder | p. 187 |
| A Summary on Resonant Solutions | p. 193 |
| Methods of Eliminating Resonant Solutions | p. 196 |
| Utilization of the Extended Boundary Condition | p. 196 |
| A Method for Combining Interior and Exterior Field Expressions | p. 207 |
| A Combined-Field Solution | p. 215 |
| A Combined-Source Solution | p. 218 |
| Integration over the Infinitesimal Area Around an Apex | p. 222 |
| References | p. 228 |
| The Numerical Solution of Integral Equations | p. 233 |
| The Discretization of Integral Equations and the Boundary Element Method | p. 234 |
| The Method of Moments | p. 236 |
| General Concepts | p. 236 |
| The Expansion Functions | p. 238 |
| The Weighting Functions | p. 247 |
| Ways to Obtain a Matrix Equation from Fundamental Integral Equations | p. 251 |
| The Pulse Function Expansion: A Constant Element Approximation | p. 255 |
| The Triangle Function Expansion: A Linear Element Approximation | p. 275 |
| The Numerical Solution of the Matrix Equation | p. 288 |
| The Method of the Generalized Inverse of Matrices | p. 290 |
| The Conjugate Gradient Method | p. 291 |
| The Direct Iterative Method | p. 299 |
| Notes on the Calculation of Physical Quantities and Computer Programming | p. 301 |
| Integration Over the Arc-Shaped Boundary Element Containing the Observation Point | p. 309 |
| The Conjugate Gradient Method for Solving a Matrix Equation When the Elements of the Matrix Are Complex Numbers | p. 315 |
| References | p. 320 |
| Some Useful Formulas | p. 329 |
| Index | p. 339 |
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