A New Method in Wave Diffraction Theory by Thin Screens
| Autor: | Yu. A. Tuchkin |
|---|---|
| Rok vydání: | 1993 |
| Předmět: |
Diffraction
Electromagnetic field Mathematical optimization Radiation Mathematical analysis Electronic Optical and Magnetic Materials Quality (physics) Uniform boundedness Mathematically Correct Boundary value problem Electrical and Electronic Engineering Algebraic number Condition number Mathematics |
| Zdroj: | Electromagnetics. 13:319-338 |
| ISSN: | 1532-527X 0272-6343 |
| DOI: | 10.1080/02726349308908353 |
| Popis: | There exist many methods of analyzing electromagnetic fields scattered by thin unclosed screens of arbitrary configuration. But all these methods as a rule result in ill-conditioned matrices; that is the condition number of these matrices rapidly increases together with the matrix size. So far these methods cannot guarantee the solution with the settled accuracy. These paper presents a new mathematically correct method which equivalently reduces initial boundary value problems to the infinite algebraic system of the second kind. The truncated matrices condition numbers of this system are uniformly bounded. It enables us to solve the considered problem with an arbitrary settled accuracy. Theoretical estimates and numerical experiments demonstrated higher quality of the algorithms obtained. We also present some numerical results illustrating the possible applications of the method. |
| Databáze: | OpenAIRE |
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