Preface |
Fundamentals of Electromagnetic Field Analysis / Chapter 1: |
Basic Equations for Electromagnetic Fields / 1.1: |
The Vector Potential, the Scalar Potential, and the Hertz Vectors / 1.2: |
Electromagnetic Fields in Regions That Are Uniform in One Direction / 1.3: |
Boundary Conditions and the Radiation Condition / 1.4: |
Green's Functions and the Dirac Delta Function / 1.5: |
Free-space Green's Functions / 1.6: |
Green's Function for the Three-Dimensional Scalar Helmholtz Equation / 1.6.1: |
Green's Function for the Two-Dimensional Scalar Helmholtz Equation / 1.6.2: |
Green's Function for Laplace's Equation / 1.6.3: |
Solutions of the Scalar Helmholtz Equation / 1.7: |
Expressions in Cartesian Coordinates / 1.7.1: |
Expressions in Cylindrical Coordinates / 1.7.2: |
Expressions in Spherical Coordinates / 1.7.3: |
Plane Waves / 1.8: |
Expression in Spherical Coordinates / 1.8.1: |
Scattering by Simply Shaped Objects / 1.9: |
The Dielectric Circular Cylinder / 1.9.1: |
The Perfectly Conducting Circular Cylinder / 1.9.2: |
The Dielectric Sphere / 1.9.3: |
The Perfectly Conducting Sphere / 1.9.4: |
Reflection and Refraction at a Plane Surface / 1.10: |
TM Wave Incidence / 1.10.1: |
TE Wave Incidence / 1.10.2: |
Electromagnetic Fields in the Vicinity of a Wedge / 1.11: |
The Dielectric Wedge / 1.11.1: |
The Perfectly Conducting Wedge / 1.11.2: |
References |
Integral Representations / Chapter 2: |
Scalar Field Problems / 2.1: |
The Derivation / 2.1.1: |
Two-Dimensional Scattering Problems / 2.1.2: |
Electrostatic Field Problems / 2.1.3: |
Vector Field Problems / 2.2: |
Transformation of Three-Dimensional Expressions into Two-Dimensional Expressions / 2.3: |
Vectorial Integral Representations in the Cross-sectional Plane / 2.3.1: |
Integral Representations for the Axial Field Components / 2.3.2: |
Dielectric Waveguide Mode Fields / 2.4: |
Fields in Terms of the Source Distributions / 2.5: |
Derivation Based on the Reciprocity Theorem / 2.6: |
Far Fields and Scattering Cross Sections / 2.7: |
Three-Dimensional Problems / 2.7.1: |
Two-Dimensional Problems / 2.7.2: |
Reciprocity Between Incident and Scattered Waves / 2.8: |
Integral Representations Applied to the Problem of Reflection and Refraction at a Plane Interface / 2.9: |
Local Rectangular Coordinates / Appendix 2A: |
Derivatives of the Unit Vectors of a Curvilinear Coordinate System / Appendix 2B: |
Integral Equations / Chapter 3: |
Integral Representations with the Observation Point on the Boundary / 3.1: |
A Limiting Procedure for Three-Dimensional Scalar Field Problems / 3.1.1: |
A Limiting Procedure for Two-Dimensional Scalar Field Problems / 3.1.2: |
Integral Representations with the Observation Point on the Boundary for Scalar Field Problems / 3.1.3: |
Treatment of the Second Partial Derivative of the Green's Function / 3.1.4: |
Integral Representations with the Observation Point on the Boundary for Vector Field Problems / 3.1.5: |
Fundamental Integral Equations / 3.2: |
General Formulation / 3.2.1: |
Scattering by a Perfectly Conducting Cylinder: TM Wave Incidence / 3.2.2: |
Scattering by a Perfectly Conducting Cylinder: TE Wave Incidence / 3.2.3: |
Scattering by a Dielectric Cylinder: TM Wave Incidence / 3.2.4: |
Scattering by a Dielectric Cylinder: TE Wave Incidence / 3.2.5: |
A Perfectly Conducting Body in an Electrostatic Field / 3.2.6: |
A Dielectric Body in an Electrostatic Field / 3.2.7: |
Guided Modes of a Dielectric Waveguide / 3.2.8: |
Modes of a Closed Waveguide / 3.2.9: |
Integral Equations When There are Conditions on Other Boundaries / 3.3: |
Involvement of Resonant Solutions / 3.4: |
General Theory / 3.4.1: |
The Perfectly Conducting Cylinder / 3.4.2: |
The Dielectric Cylinder / 3.4.3: |
A Summary on Resonant Solutions / 3.4.4: |
Methods of Eliminating Resonant Solutions / 3.5: |
Utilization of the Extended Boundary Condition / 3.5.1: |
A Method for Combining Interior and Exterior Field Expressions / 3.5.2: |
A Combined-Field Solution / 3.5.3: |
A Combined-Source Solution / 3.5.4: |
Integration over the Infinitesimal Area Around an Apex / Appendix 3A: |
The Numerical Solution of Integral Equations / Chapter 4: |
The Discretization of Integral Equations and the Boundary Element Method / 4.1: |
The Method of Moments / 4.2: |
General Concepts / 4.2.1: |
The Expansion Functions / 4.2.2: |
The Weighting Functions / 4.2.3: |
Ways to Obtain a Matrix Equation from Fundamental Integral Equations / 4.3: |
The Pulse Function Expansion: A Constant Element Approximation / 4.3.1: |
The Triangle Function Expansion: A Linear Element Approximation / 4.3.2: |
The Numerical Solution of the Matrix Equation / 4.4: |
The Method of the Generalized Inverse of Matrices / 4.4.1: |
The Conjugate Gradient Method / 4.4.2: |
The Direct Iterative Method / 4.4.3: |
Notes on the Calculation of Physical Quantities and Computer Programming / 4.5: |
Integration Over the Arc-Shaped Boundary Element Containing the Observation Point / Appendix 4A: |
The Conjugate Gradient Method for Solving a Matrix Equation When the Elements of the Matrix Are Complex Numbers / Appendix 4B: |
Some Useful Formulas / Appendix A: |
Index |
Preface |
Fundamentals of Electromagnetic Field Analysis / Chapter 1: |
Basic Equations for Electromagnetic Fields / 1.1: |
The Vector Potential, the Scalar Potential, and the Hertz Vectors / 1.2: |
Electromagnetic Fields in Regions That Are Uniform in One Direction / 1.3: |
Boundary Conditions and the Radiation Condition / 1.4: |