An integral equation method for the electromagnetic scattering from cavities

Consider a time‐harmonic electromagnetic plane wave incident on a cavity in a ground plane. The physical process is modelled by Maxwell's equations. In this paper, integral representations of the solutions to the model problem in both fundamental polarizations are derived and studied. Existence...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Mathematical methods in the applied sciences Ročník 23; číslo 12; s. 1057 - 1072
Hlavní autori: Ammari, Habib, Bao, Gang, Wood, Aihua W.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Chichester, UK John Wiley & Sons, Ltd 01.08.2000
Wiley
Teubner
Predmet:
Applied classical electromagnetism
conforming boundary element methods
electromagnetic cavity
Electromagnetic wave propagation, radiowave propagation
Electromagnetism; electron and ion optics
Exact sciences and technology
existence and uniqueness
Fundamental areas of phenomenology (including applications)
Gårding-type estimates
integral equations
Mathematical analysis
Mathematics
Operator theory
Physics
Sciences and techniques of general use
transparent boundary conditions
Solution uniqueness
Integral operator
Radar cross section
Electromagnetism
Gårding type estimate
Existence of solution
Boundary condition
Conformal element
Cavity
Variational equation
Transparent medium
Electromagnetic cavity
Conformal boundary element method
Integral equation
Diffusion
Maxwell equation
Boundary element method
ISSN:0170-4214, 1099-1476
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:Consider a time‐harmonic electromagnetic plane wave incident on a cavity in a ground plane. The physical process is modelled by Maxwell's equations. In this paper, integral representations of the solutions to the model problem in both fundamental polarizations are derived and studied. Existence and uniqueness of the solutions for the integral equations are established. The integral equations approach forms a basis for numerical solution of the model problem. In particular, for each fundamental polarization, an integral formulation with Gårding‐type estimates is derived. These formulations provide a basis for variational boundary element methods for solving the cavity problem. The Gårding‐type estimates imply convergence results for conforming boundary element methods. Copyright © 2000 John Wiley & Sons, Ltd
Bibliografia:NSF Applied Mathematics Programs - No. DMS 98-03604 (99-96416)
istex:64C8899B529E3C24962526B385B12E5BF9719A95
ArticleID:MMA151
NSF University-Industry Cooperative Research Programs - No. DMS 98-03809; No. DMS 99-72292
ONR - No. N000140010299
NSF Western Europe Programs - No. INT 98-15798
ark:/67375/WNG-TMH71N4G-W
ISSN:0170-4214
1099-1476
DOI:10.1002/1099-1476(200008)23:12<1057::AID-MMA151>3.0.CO;2-6