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Analysis Methods for Electromagnetic Wave Problems : v. 1 - Eikichi Yamashita

Analysis Methods for Electromagnetic Wave Problems

v. 1

By: Eikichi Yamashita (Editor)

Hardcover Published: 19th June 1990
ISBN: 9780890063644
Number Of Pages: 432

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Instructs advanced and important analysis methods which are frequently used for researchers, engineers and students who work on applications of electromagnetic waves to microwave devices and antennas. The book also includes various numerical techniques.

Prefacep. xiii
The Authorsp. xv
The Finite-Element Methodp. 1
Historical Backgroundp. 1
The Range of Applicationsp. 2
Elementary Ideas of the Finite-Element Methodp. 4
Outline of Finite-Element Calculationsp. 5
Elementsp. 8
Applications to Waveguide Problemsp. 10
Vectorial Wave Analysis by the One-Dimensional, Finite-Element Methodp. 12
Vectorial Wave Analysis by the Two-Dimensional, Finite-Element Methodp. 13
Treatment of Infinite Regionsp. 27
Some Precautions for Programmingp. 29
Referencesp. 30
The Boundary-Element Methodp. 33
Introductionp. 33
Historical Backgroundp. 33
Limitations of the Methodp. 34
Integral Representationsp. 35
Two-Dimensional Problemsp. 35
Fields Due to Source Distributionsp. 39
General Vector-Field Problemsp. 40
Integral Equationsp. 45
Expressions with the Observation Point Taken on the Boundaryp. 46
Fundamental Integral Equationsp. 52
Notes on the Involvement of Resonant Solutionsp. 60
Numerical Calculation of Integral Equationsp. 62
Discretization Methods of the Boundary-Element Methodp. 62
Discretization of Integral Equations and Derivation of Matrix Equationsp. 63
Numerical Calculation of Elements of Coefficient Matricesp. 69
Some Precautions for Programming and Numerical Calculationp. 74
Referencesp. 76
The Point-Matching Methodp. 79
Historical Backgroundp. 79
Characteristics of the Method and Range of Applicationp. 80
Homogeneous Dielectric Waveguides Having the Cross Section of Arbitrary Boundaryp. 81
Basic Equationsp. 81
Electromagnetic Fields of Dielectric Waveguidesp. 82
Symmetry in the Waveguide Cross Sectionp. 84
Application of the Point-Matching Methodp. 85
Boundary Condition Matricesp. 86
Designation of Propagation Modesp. 88
Numerical Analysis of Dielectric Waveguides Having the Cross Section of a Chipped Circle Boundaryp. 89
Composite Dielectric Waveguidesp. 95
Composite Dielectric Waveguides with Cross Sections Composed of Fan-Shaped Boundariesp. 95
Composite Dielectric Waveguides with Cross Sections Composed of Elliptical Boundariesp. 98
Coupled Dielectric Waveguidesp. 100
Coupled Dielectric Waveguides Composed of Two Waveguidesp. 100
Coupled Dielectric Waveguides Composed of Multiple Waveguidesp. 102
Some Precautions for Programmingp. 103
Conclusionp. 105
Referencesp. 105
The Mode-Matching Methodp. 107
Introductionp. 107
Formulation of Scattering by Cylindrical Obstaclesp. 108
Two-Dimensional Scattering Problemsp. 108
Scattered Far Fieldsp. 111
A Conventional Mode-Matching Methodp. 112
Modal Functions and Approximate Wave Functionp. 112
Method of Solution: E-Wave Casep. 113
Definition of Errorsp. 114
Some Precautions for Numerical Computationp. 116
Method of Solution: H-Wave Casep. 117
A Smoothing Procedurep. 117
Approximation of [characters not producible]p. 118
Smoothing Procedurep. 118
Definition of Errorsp. 120
Some Precautions on Using the MMM with the SPp. 121
Computing the Near Fieldp. 121
Method of Solution: H-Wave Casep. 121
A Singular-Smoothing Procedurep. 122
E-Wave Scattering by an Edged Scattererp. 122
Singular-Smoothing Procedurep. 123
Some Precautions on Numerical Computationsp. 125
Numerical Examplesp. 125
Scattering by a Periodic Deformed Cylinderp. 125
Diffraction by a Fourier Gratingp. 127
Diffraction by an Echelette Gratingp. 132
Conclusionp. 132
A General Expression and Some Examples of Modal Functionsp. 133
Derivation of Equation (4.55)p. 134
Iterated Kernel K[subscript p](s,t)p. 135
Application of the Orthogonal Decomposition Methodsp. 135
Referencesp. 137
The Spatial Network Methodp. 139
Introductionp. 139
The Range of Applicationsp. 141
Spatial Network for Three-Dimensional Maxwell's Equationp. 142
The Bergeron Methodp. 152
Bergeron's Expression in the Three-Dimensional Spatial Networkp. 160
Analyzed Results and Discussionp. 165
The Boundary Condition of the conductor Systemp. 165
Treatment of Dielectric Materialsp. 167
Treatment of the Free Boundaryp. 167
Analyzed Resultsp. 169
Some Precautions for Programmingp. 174
Referencesp. 175
The Equivalent Source Methodp. 177
Historical Background and Applicationsp. 177
Basic Theory of the Equivalent Source Methodp. 180
Approximated Wave Function for the Equivalent Source Methodp. 181
Boundary Conditions and Scattered Fieldp. 186
Error Estimation of the Scattered Fieldp. 188
Optimum Arrangement of Equivalent Sourcesp. 189
Application to Analyses of an Electromagnetic Field Scattered by Perfect-Conducting Cylindersp. 191
Numerical Examples by the Linear-Search Methodp. 191
Numerical Examples Obtained by Nonlinear Optimizationp. 195
Practical Analyses of the Scattered Field from Dielectric Cylindersp. 199
Approximate Wave Functions for Dielectric Region and Boundary Conditionsp. 199
Numerical Examples of the Scattered Field from Lossless Dielectric Cylindersp. 201
Numerical Examples of the Scattered Field from Lossy Dielectric Cylindersp. 203
Some Precautions for Programmingp. 208
Referencesp. 211
The Geometrical Theory of Diffractionp. 213
High-Frequency Approximation of Electromagnetic Field and Geometrical Theory of Diffractionp. 213
Historical Backgroundp. 213
The Range of Applicationsp. 214
Geometrical Opticsp. 214
Canonical Problemsp. 217
Keller's GTDp. 223
Application of GTD and Its Defectsp. 227
GTD for Diffraction from a Circular Diskp. 227
Diffraction from a Spherep. 230
Defects of GTDp. 232
Improvements for Keller's GTDp. 233
Improvements to Diffraction Coefficientsp. 233
Method of Equivalent Edge Currentsp. 235
Modified Physical Theory of Diffractionp. 239
Radiation Pattern Analysis of Reflector Antennasp. 241
Some Precautions for Programmingp. 242
Referencesp. 243
The Wiener-Hopf and Modified Residue Calculus Techniquesp. 245
Introductionp. 245
Historical Backgroundp. 245
Range of Applicationsp. 247
Mathematical Preliminaries from the Theory of Fourier Integrals and Functions of a Complex Variablep. 249
Complex Fourier Integralsp. 249
Asymptotic Behavior of the Complex Fourier Integralsp. 251
Decomposition and Factorization of Functionsp. 253
Saddle-Point Methodp. 255
Wiener-Hopf Techniquep. 257
Diffraction by a Semiinfinite Platep. 259
Radiation Condition and Edge Conditionp. 259
Formulation of the Problemp. 261
Exact Solution of the Wiener-Hopf Equationp. 265
Scattered-Field Representationsp. 266
Diffraction by a Stripp. 271
Formulation of the Problemp. 272
Formal Solution of the Wiener-Hopf Equationp. 274
High-Frequency Asymptotic Solutionp. 277
Scattered Far Fieldp. 280
Diffraction by a Thick Semiinfinite Platep. 282
Transformed-Wave Equationsp. 283
Simultaneous Wiener-Hopf Equationsp. 284
Factorization of Kernel Functionsp. 287
Formal Solutionsp. 288
Application of the Modified Residue-Calculus Techniquep. 290
Determination of Zerosp. 293
Scattered Far Fieldp. 295
Concluding Remarksp. 297
Referencesp. 298
Asymptotic Expansion Methodsp. 303
Historical Backgroundp. 303
Mathematical Foundations of Asymptotic Expansionsp. 304
Definition of Asymptotic Expansionsp. 304
Liouville-Green Asymptotic Expansionsp. 306
The Airy Functionp. 307
The Method of Matching by Gansp. 311
Formalism by Wentzel, Kramers, and Brillouin (WKB Method)p. 313
Higher-Order Asymptotic Solutionsp. 315
Langer Transformationp. 315
Froman-Froman Methodp. 316
Uniform Asymptotic Solutionsp. 318
Eigenvalue Problemsp. 319
Wentzel-Dunham Quantum Conditionp. 319
Froman-Froman Quantum Conditionp. 321
Maslov-Argyres Regularizationp. 322
Uniform Asymptotic-Perturbational Methodp. 323
Felsen Seriesp. 324
Multiple Scattering Expansionsp. 325
Solutions of Coupled Equationsp. 325
Multilayer Solutionsp. 329
The Invariant Imbedding Approachp. 331
Asymptotic Expansions in an Optical Waveguide Systemp. 332
Significance of Expansions and the Range of Applicationsp. 338
References and Bibliographyp. 339
The Beam Propagation Methodp. 341
Introductionp. 341
Historical Backgroundp. 341
Features of BPMp. 341
Computing Technologyp. 342
Construction of this Chapterp. 342
Basis of the Beam Propagation Methodp. 342
Optical Planar Circuitsp. 342
Principle of BPMp. 347
BPM in Three-Dimensional Media and Fresnel-Type Approximationp. 351
BPM Formulation of Three-Dimensional Helmholtz Equationp. 351
BPM Formula Based on the Fresnel Equationp. 354
Propagation Constants Obtained From Fresnel and Hemholz Equationsp. 356
BPM in Anisotropic Mediap. 357
Basic Equationsp. 357
Basic Variables and Assumptionsp. 358
Formulation for BPMp. 358
Cases When Refractive-Index Variations in x- and y-Directions are Differentp. 361
Examples of Calculation Resultsp. 361
Cases in Isotropic Mediap. 361
Cases in Anisotropic Mediap. 363
Conclusionp. 368
References and Bibliographyp. 368
The Spectral Domain Methodp. 371
Historical Backgroundp. 371
Characteristics of the Method and the Range of Applicationsp. 372
Spectral Domain Method Based on the Electromagnetic-Field Expansionsp. 373
Galerkin's Method of Solutionp. 380
Characteristic Impedancep. 383
Immitance Methodp. 386
Some Precautions for Programmingp. 396
Symmetryp. 396
Convergencep. 397
Other Precautionsp. 397
Conclusionsp. 397
Referencesp. 398
Bibliographyp. 399
Indexp. 411
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780890063644
ISBN-10: 0890063648
Series: Microwave Library
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 432
Published: 19th June 1990
Publisher: Artech House Publishers
Country of Publication: US
Dimensions (cm): 22.9 x 15.2  x 2.8
Weight (kg): 0.8