Preface |
The Authors |
The Finite-Element Method / Chapter 1: |
Historical Background / 1.1: |
The Range of Applications / 1.2: |
Elementary Ideas of the Finite-Element Method / 1.3: |
Outline of Finite-Element Calculations / 1.4: |
Elements / 1.5: |
Applications to Waveguide Problems / 1.6: |
Vectorial Wave Analysis by the One-Dimensional, Finite-Element Method / 1.6.1: |
Vectorial Wave Analysis by the Two-Dimensional, Finite-Element Method / 1.6.2: |
Treatment of Infinite Regions / 1.6.3: |
Some Precautions for Programming / 1.7: |
References |
The Boundary-Element Method / Chapter 2: |
Introduction / 2.1: |
Limitations of the Method / 2.2: |
Integral Representations / 2.4: |
Two-Dimensional Problems / 2.4.1: |
Fields Due to Source Distributions / 2.4.2: |
General Vector-Field Problems / 2.4.3: |
Integral Equations / 2.5: |
Expressions with the Observation Point Taken on the Boundary / 2.5.1: |
Fundamental Integral Equations / 2.5.2: |
Notes on the Involvement of Resonant Solutions / 2.5.3: |
Numerical Calculation of Integral Equations / 2.6: |
Discretization Methods of the Boundary-Element Method / 2.6.1: |
Discretization of Integral Equations and Derivation of Matrix Equations / 2.6.2: |
Numerical Calculation of Elements of Coefficient Matrices / 2.6.3: |
Some Precautions for Programming and Numerical Calculation / 2.6.4: |
The Point-Matching Method / Chapter 3: |
Characteristics of the Method and Range of Application / 3.1: |
Homogeneous Dielectric Waveguides Having the Cross Section of Arbitrary Boundary / 3.3: |
Basic Equations / 3.3.1: |
Electromagnetic Fields of Dielectric Waveguides / 3.3.2: |
Symmetry in the Waveguide Cross Section / 3.3.3: |
Application of the Point-Matching Method / 3.3.4: |
Boundary Condition Matrices / 3.3.5: |
Designation of Propagation Modes / 3.3.6: |
Numerical Analysis of Dielectric Waveguides Having the Cross Section of a Chipped Circle Boundary / 3.3.7: |
Composite Dielectric Waveguides / 3.4: |
Composite Dielectric Waveguides with Cross Sections Composed of Fan-Shaped Boundaries / 3.4.1: |
Composite Dielectric Waveguides with Cross Sections Composed of Elliptical Boundaries / 3.4.2: |
Coupled Dielectric Waveguides / 3.5: |
Coupled Dielectric Waveguides Composed of Two Waveguides / 3.5.1: |
Coupled Dielectric Waveguides Composed of Multiple Waveguides / 3.5.2: |
Conclusion / 3.6: |
The Mode-Matching Method / Chapter 4: |
Formulation of Scattering by Cylindrical Obstacles / 4.1: |
Two-Dimensional Scattering Problems / 4.2.1: |
Scattered Far Fields / 4.2.2: |
A Conventional Mode-Matching Method / 4.3: |
Modal Functions and Approximate Wave Function / 4.3.1: |
Method of Solution: E-Wave Case / 4.3.2: |
Definition of Errors / 4.3.3: |
Some Precautions for Numerical Computation / 4.3.4: |
Method of Solution: H-Wave Case / 4.3.5: |
A Smoothing Procedure / 4.4: |
Approximation of [characters not producible] / 4.4.1: |
Smoothing Procedure / 4.4.2: |
Some Precautions on Using the MMM with the SP / 4.4.3: |
Computing the Near Field / 4.4.5: |
A Singular-Smoothing Procedure / 4.4.6: |
E-Wave Scattering by an Edged Scatterer / 4.5.1: |
Singular-Smoothing Procedure / 4.5.2: |
Some Precautions on Numerical Computations / 4.5.3: |
Numerical Examples / 4.6: |
Scattering by a Periodic Deformed Cylinder / 4.6.1: |
Diffraction by a Fourier Grating / 4.6.2: |
Diffraction by an Echelette Grating / 4.6.3: |
A General Expression and Some Examples of Modal Functions / 4.7: |
Derivation of Equation (4.55) / Appendix 4B: |
Iterated Kernel K[subscript p](s,t) / Appendix 4C: |
Application of the Orthogonal Decomposition Methods / Appendix 4D: |
The Spatial Network Method / Chapter 5: |
Spatial Network for Three-Dimensional Maxwell's Equation / 5.1: |
The Bergeron Method / 5.4: |
Bergeron's Expression in the Three-Dimensional Spatial Network / 5.5: |
Analyzed Results and Discussion / 5.6: |
The Boundary Condition of the conductor System / 5.6.1: |
Treatment of Dielectric Materials / 5.6.2: |
Treatment of the Free Boundary / 5.6.3: |
Analyzed Results / 5.6.4: |
The Equivalent Source Method / 5.7: |
Historical Background and Applications / 6.1: |
Basic Theory of the Equivalent Source Method / 6.2: |
Approximated Wave Function for the Equivalent Source Method / 6.2.1: |
Boundary Conditions and Scattered Field / 6.2.2: |
Error Estimation of the Scattered Field / 6.2.3: |
Optimum Arrangement of Equivalent Sources / 6.2.4: |
Application to Analyses of an Electromagnetic Field Scattered by Perfect-Conducting Cylinders / 6.3: |
Numerical Examples by the Linear-Search Method / 6.3.1: |
Numerical Examples Obtained by Nonlinear Optimization / 6.3.2: |
Practical Analyses of the Scattered Field from Dielectric Cylinders / 6.4: |
Approximate Wave Functions for Dielectric Region and Boundary Conditions / 6.4.1: |
Numerical Examples of the Scattered Field from Lossless Dielectric Cylinders / 6.4.2: |
Numerical Examples of the Scattered Field from Lossy Dielectric Cylinders / 6.4.3: |
The Geometrical Theory of Diffraction / 6.5: |
High-Frequency Approximation of Electromagnetic Field and Geometrical Theory of Diffraction / 7.1: |
Geometrical Optics / 7.1.1: |
Canonical Problems / 7.1.4: |
Keller's GTD / 7.1.5: |
Application of GTD and Its Defects / 7.2: |
GTD for Diffraction from a Circular Disk / 7.2.1: |
Diffraction from a Sphere / 7.2.2: |
Defects of GTD / 7.2.3: |
Improvements for Keller's GTD / 7.3: |
Improvements to Diffraction Coefficients / 7.3.1: |
Method of Equivalent Edge Currents / 7.3.2: |
Modified Physical Theory of Diffraction / 7.3.3: |
Radiation Pattern Analysis of Reflector Antennas / 7.4: |
The Wiener-Hopf and Modified Residue Calculus Techniques / 7.5: |
Range of Applications / 8.1: |
Mathematical Preliminaries from the Theory of Fourier Integrals and Functions of a Complex Variable / 8.2: |
Complex Fourier Integrals / 8.2.1: |
Asymptotic Behavior of the Complex Fourier Integrals / 8.2.2: |
Decomposition and Factorization of Functions / 8.2.3: |
Saddle-Point Method / 8.2.4: |
Wiener-Hopf Technique / 8.2.5: |
Diffraction by a Semiinfinite Plate / 8.3: |
Radiation Condition and Edge Condition / 8.3.1: |
Formulation of the Problem / 8.3.2: |
Exact Solution of the Wiener-Hopf Equation / 8.3.3: |
Scattered-Field Representations / 8.3.4: |
Diffraction by a Strip / 8.4: |
Formal Solution of the Wiener-Hopf Equation / 8.4.1: |
High-Frequency Asymptotic Solution / 8.4.3: |
Scattered Far Field / 8.4.4: |
Diffraction by a Thick Semiinfinite Plate / 8.5: |
Transformed-Wave Equations / 8.5.1: |
Simultaneous Wiener-Hopf Equations / 8.5.2: |
Factorization of Kernel Functions / 8.5.3: |
Formal Solutions / 8.5.4: |
Application of the Modified Residue-Calculus Technique / 8.5.5: |
Determination of Zeros / 8.5.6: |
Concluding Remarks / 8.5.7: |
Asymptotic Expansion Methods / Chapter 9: |
Mathematical Foundations of Asymptotic Expansions / 9.1: |
Definition of Asymptotic Expansions / 9.2.1: |
Liouville-Green Asymptotic Expansions / 9.2.2: |
The Airy Function / 9.2.3: |
The Method of Matching by Gans / 9.2.4: |
Formalism by Wentzel, Kramers, and Brillouin (WKB Method) / 9.3: |
Higher-Order Asymptotic Solutions / 9.4: |
Langer Transformation / 9.4.1: |
Froman-Froman Method / 9.4.2: |
Uniform Asymptotic Solutions / 9.4.3: |
Eigenvalue Problems / 9.5: |
Wentzel-Dunham Quantum Condition / 9.5.1: |
Froman-Froman Quantum Condition / 9.5.2: |
Maslov-Argyres Regularization / 9.5.3: |
Uniform Asymptotic-Perturbational Method / 9.5.4: |
Felsen Series / 9.5.5: |
Multiple Scattering Expansions / 9.6: |
Solutions of Coupled Equations / 9.6.1: |
Multilayer Solutions / 9.6.2: |
The Invariant Imbedding Approach / 9.6.3: |
Asymptotic Expansions in an Optical Waveguide System / 9.7: |
Significance of Expansions and the Range of Applications / 9.8: |
References and Bibliography |
The Beam Propagation Method / Chapter 10: |
Features of BPM / 10.1: |
Computing Technology / 10.1.3: |
Construction of this Chapter / 10.1.4: |
Basis of the Beam Propagation Method / 10.2: |
Optical Planar Circuits / 10.2.1: |
Principle of BPM / 10.2.2: |
BPM in Three-Dimensional Media and Fresnel-Type Approximation / 10.3: |
BPM Formulation of Three-Dimensional Helmholtz Equation / 10.3.1: |
BPM Formula Based on the Fresnel Equation / 10.3.2: |
Propagation Constants Obtained From Fresnel and Hemholz Equations / 10.3.3: |
BPM in Anisotropic Media / 10.4: |
Basic Variables and Assumptions / 10.4.1: |
Formulation for BPM / 10.4.3: |
Cases When Refractive-Index Variations in x- and y-Directions are Different / 10.4.4: |
Examples of Calculation Results / 10.5: |
Cases in Isotropic Media / 10.5.1: |
Cases in Anisotropic Media / 10.5.2: |
The Spectral Domain Method / 10.6: |
Characteristics of the Method and the Range of Applications / 11.1: |
Spectral Domain Method Based on the Electromagnetic-Field Expansions / 11.3: |
Galerkin's Method of Solution / 11.4: |
Characteristic Impedance / 11.5: |
Immitance Method / 11.6: |
Symmetry / 11.7: |
Convergence / 11.7.2: |
Other Precautions / 11.7.3: |
Conclusions / 11.8: |
Bibliography |
Index |