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The Generalized Multipole Technique for Computational Electromagnetics : Antenna library - Christian Hafner

The Generalized Multipole Technique for Computational Electromagnetics

Antenna library

Hardcover Published: 19th June 1990
ISBN: 9780890064290
Number Of Pages: 312

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Beginning with a detailed comparison of "traditional" methods of EM field analysis, this text leads up to a step-by-step explication of the Generalized Multiple Technique (GMT).

Prefacep. ix
Geometry, Differential and Integral Formsp. 1
Historical Remarksp. 1
Three-Dimensional Spacep. 2
Integralsp. 2
First-Order Spatial Derivativesp. 6
Schematic Representation of Spatial Derivativesp. 7
Second-Order Spatial Derivativesp. 9
Coordinatesp. 12
Two-Dimensional Spacep. 14
Synopsis of Important Equationsp. 18
Coulomb-Ampere Theory of Electricity and Magnetismp. 23
Electricityp. 23
Magnetismp. 25
Maxwell's Electrodynamicsp. 29
Maxwell's Equationsp. 29
Wave Equationsp. 33
Potentialsp. 34
Time-Harmonic Fieldsp. 36
Two-Dimensional Fieldsp. 39
Static Fieldsp. 42
Solutions of Field Equationsp. 45
Special Solutions of Inhomogeneous Equationsp. 47
General Solutions of Homogeneous Equationsp. 52
Boundary Conditionsp. 61
Post-Maxwellian Electrodynamicsp. 67
General Remarksp. 67
The Energy Conceptp. 68
Variational Integralsp. 75
Discrete Spacesp. 76
Numerical Field Computationsp. 79
General Remarksp. 79
Discretization of Fieldsp. 81
Basis Functionsp. 82
Discretization of Geometryp. 85
Discretization of Timep. 88
Discretization of Equationsp. 91
Error Minimization Technique (EMT)p. 93
Projection Technique (PT)p. 99
Generalized Point Matching (GPM)p. 104
Numerical Equivalencesp. 105
Solution of Linear Systems of Equationsp. 109
Inhomogeneous Problemsp. 109
Eigenvalue Problemsp. 111
Well Known Numerical Methodsp. 117
General Remarksp. 117
Geometric Theory of Diffraction (GTD)p. 118
Method of Moments (MoM)p. 124
Finite Elements (FE)p. 128
Finite Differences (FD)p. 132
Additional Techniquesp. 137
Complex Numbersp. 138
Matrix Computationsp. 141
Fourier and Laplace Transformsp. 142
Perturbational Methods and Iterative Techniquesp. 148
Generalized Multipole Technique (GMT)p. 157
Historical Remarksp. 157
Analytic Considerationsp. 159
Expansions for 2D Electrodynamicsp. 174
Expansions for 2D Statics and Low Frequenciesp. 179
Expansions for 3D Problemsp. 182
Numerical Considerationsp. 184
GPM for 3D Problemsp. 200
GPM for Staticsp. 202
Generalizations and Rulesp. 204
Analytic Considerationsp. 204
Numerical Considerationsp. 207
Automatic Generation of Multipolesp. 209
Combinations with other Methodsp. 212
Multiple Multipole Programs (MMP)p. 219
Concepts and Structurep. 219
Main Programsp. 221
Zoom Programsp. 225
Graphic Input Editorsp. 227
Graphic Plot Programsp. 229
Fourier Transform Programsp. 232
Special Featuresp. 233
Scaling, Weighting, and Definition of Amplitudesp. 233
User-Defined "Special" Expansionsp. 235
User-Defined "Special" Conditionsp. 236
Symmetriesp. 237
Error Computationp. 240
Computation of Static Problemsp. 240
Computation of Real Eigenvalue Problemsp. 244
Computation of Complex Eigenvalue Problemsp. 246
2D Computation of "Pseudo-3D" Problemsp. 248
Connection of Problemsp. 249
Perturbationsp. 252
Automatic Pole Generationsp. 254
Animationp. 257
Parallelizationp. 259
Special Algorithmsp. 262
Personal Computers and Transputersp. 267
General Remarksp. 267
Personal Computersp. 268
Transputersp. 272
Benchmarksp. 277
Indexp. 285
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780890064290
ISBN-10: 0890064296
Series: Antenna library
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 312
Published: 19th June 1990
Publisher: Artech House Publishers
Country of Publication: US
Dimensions (cm): 22.9 x 15.2  x 2.0
Weight (kg): 0.63