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Low – frequency electromagnetic scattering by a perfectly conducting torus. The Rayleigh approximations.
- Source :
-
International Journal of Applied Electromagnetics & Mechanics . 2006, Vol. 24 Issue 1-2, p91-103. 13p. 1 Diagram. - Publication Year :
- 2006
-
Abstract
- The paper investigates the propagation of a plane electromagnetic wave in the exterior of a perfectly conducting torus. Using the fact that in toroidal coordinates the vector Helmholtz equation does not admit separation of variables we apply the low-frequency method and the electromagnetic scattering problem reduces to a sequence of potential problems. The incomplete R-separation leads to infinite system of three-diagonal form. More precisely, the boundary conditions for the magnetic field produce a third-order recurrence relations, due to the Riemannian radical and the non-orthogonality of the toroidal harmonics in the angular variable. The three-diagonal infinite systems of linear algebraic equations are solved analytically via the appropriate use of finite continuous fractions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13835416
- Volume :
- 24
- Issue :
- 1-2
- Database :
- Academic Search Index
- Journal :
- International Journal of Applied Electromagnetics & Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 23792602
- Full Text :
- https://doi.org/10.3233/JAE-2006-779