Elsevier S & T

Generalized Multipole Techniques for Electromagnetic and Light Scattering

Wriedt, T.

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Table of contents
  • Cover
  • Contentsv
  • Chapter 1. Introduction1
  • References4
  • Chapter 2. Review of the Generalized Multipole Technique Literature5
  • 2.1. Point matching method6
  • 2.2. Extended boundary condition method (EBCM)7
  • 2.3. Multiple multipole method (MMP)8
  • 2.4. Yasuura's methods10
  • 2.5. Discrete sources method (DSM)11
  • 2.6. Method of auxiliary sources (MAS)12
  • 2.7. Analytical continuation of solutions of boundary problems13
  • 2.8. Conclusion14
  • References14
  • Chapter 3. The Multiple Multipole Program (MMP) and the Generalized Multipole Technique (GMT)21
  • 3.1. Introduction22
  • 3.2. From CHA to MMP expansions22
  • 3.3. Matrix methods25
  • 3.4. Special MMP features27
  • 3.5. Example: Scattering at a particle on a planar structure33
  • References38
  • Chapter 4. Models of Electromagnetic Scattering Problems Based on Discrete Sources Method39
  • 4.1. Introduction40
  • 4.2. Mathematical models for the Helmholtz equation42
  • 4.3. Mathematical models for the Maxwell equations55
  • 4.4. Conclusion78
  • References79
  • Chapter 5. Singularities of Wave Fields and Numerical Methods of Solving the Boundary-Value Problems81
  • 5.1. Introduction82
  • 5.2. Basic analytical representations of wave fields82
  • 5.3. Singularities of a wave field and their localization87
  • 5.4. Utilization of the information about wave field singularities when solving the boundary value p95
  • References108
  • Chapter 6. Yasuura's Method, its Relation to the Fictitious-Source Methods, and its Advancements in111
  • 6.1. Introduction112
  • 6.2. Formulation of a sample problem113
  • 6.3. Modal functions114
  • 6.4. An approximate solution116
  • 6.5. Integral representation of the solution116
  • 6.6. Method of solution 1: the CYM116
  • 6.7. Method of solution 2: the YMSP118
  • 6.8. Method of solution 3: the YMSSP121
  • 6.9. Method of numerical analysis and examples124
  • 6.10. Miscellanea134
  • 6.11. Conclusion136
  • 6.12. Appendix A136
  • 6.13. Appendix B137
  • 6.14. Appendix C138
  • References140
  • Chapter 7. The Method of Auxiliary Sources in Electromagnetic Scattering Problems143
  • 7.1. Introduction144
  • 7.2. Problem formulation145
  • 7.3. Construction of the solution by the method of auxiliary sources146
  • 7.4. Choice of auxiliary parameters150
  • 7.5. Application to particular problems158
  • 7.6. Conclusions169
  • References170
  • Chapter 8. Numerical Solution of Electromagnetic Scattering Problems of Three Dimensional Nonaxisymm173
  • 8.1. Introduction174
  • 8.2. Perfectly conducting scatterer175
  • 8.3. Impedance scatterer178
  • 8.4. Magneto-dielectric scatterer179
  • 8.5. Chiral scatterer182
  • 8.6. Coated scatterer184
  • 8.7. Some ideas towards the solution of dense ill-posed linear algebraic equation systems of discret188
  • 8.8. Numerical results190
  • 8.9. Conclusion202
  • References202
  • Chapter 9. Hybrid GMT–MoM Method205
  • 9.1. Introduction206
  • 9.2. Formulation208
  • 9.3. On the location of GMT and MoM sources214
  • 9.4. Regularization of the GMT–MoM method218
  • 9.5. Conclusions225
  • References226
  • Chapter 10. Null-Field Method with Discrete Sources229
  • 10.1. Introduction230
  • 10.2. Transmission boundary-value problem231
  • 10.3. Null-field equations233
  • 10.4. Complete systems of functions234
  • 10.5. Null-field method246
  • 10.6. Numerical results248
  • 10.7. Conclusions251
  • References252
  • Author Index255
  • Subject Index261
Book details
  • Vendor Elsevier S & T
  • SKU 9780444502827
  • ISBN-13 9780080532370
  • Author Wriedt, T.
  • Category Technology & Engineering
  • Subject Mechanical

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Description eBook delivery & access Reviews
This book is an edited volume of nine papers covering the different variants of the generalized multipole techniques (GMT). The papers were presented at the recent 3rd Workshop on Electromagnetics and Light Scattering - Theory and Applications, which focused on current GMT methods. These include the multiple multipole method (MMP), the discrete sources method (DSM), Yasuura's method, method of auxiliary sources and null-field method with discrete sources. Each paper presents a full theoretical description as well as some applications of the method in electrical engineering and optics. It also includes both 2D and 3D methods and other applications developed in the former Soviet Union and Japan.