Analysis methods for electromagnetic wave problems

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Analysis methods for electromagnetic wave problems / Eikichi Yamashita, editor

資料種別:: 図書
出版情報:: Boston : Artech House, c1990
形態:: xvi, 414 p. ; 24 cm
シリーズ名:: The Artech House microwave library <BA00537481>
著者名:: 山下, 栄吉(1933-) <DA00653616>
ISBN:: 9780890063644 [0890063648]
書誌ID:: BA11186695

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その他の標題:

Denjiha mondai e no atakku no shikata

注記:

Translation of: Denjiaha mondai e no atakku no shikata
Rev. ed. of English translation published as: Basic analysis methods for electromagnetic wave problems. 1987
Includes bibliographical references (p. 399-409) and index

著者名ヨミ:

ヤマシタ, エイキチ

主題:

Electromagnetic waves; Numerical analysis

言語:

英語

目次情報:

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

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：

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統一書名:

Denjiha mondai e no atakku no shikata English <EA00023762>

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