Dyadic Green's functions inside/outside a dielectric elliptical cylinder: Theory and application
Li, L.-W. Wee, H.-G. Leone, M.-S.
Wee, H.-G.
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Abstract
Dyadic Green's functions in two regions separated by an infinitely long elliptical dielectric cylinder are formulated in this paper. As an application, the plane electromagnetic wave scattering by an isotropie elliptical dielectric cylinder is revisited by applying these dyadic Green's functions and the scattering-to-radiation transform. First, the dyadic Green's functions are formulated and expanded in terms of elliptical vector wave functions. The general equations are derived from the boundary conditions and expressed in matrix form. Then the scattering and transmission coefficients coupled to each other are solved from the matrix equations. To verify the theory developed and its applicability, we revisit the plane electromagnetic wave scattering (of TE- and TM-polarizations) by an infinitely long elliptical cylinder, and consider it as a special case of electromagnetic radiation using the dyadic Green's function technique. The derived equations and computed numerical results are then compared with published results and a good agreement in each case is found. Special cases where the elliptical cylinder degenerates to a circular cylinder and where the material of the cylinder is isorefractive are also considered, and the same analytical solutions in both cases are obtained.
Keywords
Dielectric waveguide, Dyadic Green's functions, Eigenfunction expansions, Elliptical cylinder, Mathieu functions, Plane wave scattering
Source Title
IEEE Transactions on Antennas and Propagation
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Date
2003-03
DOI
10.1109/TAP.2003.809854
Type
Article