CYLINDRICAL VECTOR-WAVE-FUNCTION REPRESENTATIONS OF FIELDS IN A BIAXIAL OMEGA-MEDIUM

Biaxial Omega-medium is an artifical material which is obtained by dif fusion of planar conducting microstructures, having the shape of Omega , into an isotropic dielectric medium with suitable orientations. In t his paper, based on the eigen plane wave spectrum representation of th e field and the Fourier expansion for the unknown angular spectrum amp litude, the cylindrical vector-wave-function representations of the el ectromagnetic fields in such materials are developed. It is shown that the solutions of the source-free Maxwell's equations for a biaxial Om ega-medium are composed of two eigenwaves traveling with different wav e numbers, and each eigenwave is a superposition of two transverse wav es and a longitudinal wave. The addition theorem of wave functions for biaxial Omega media can be derived from that of wave functions for is otropic media. Applications of the theory are made to the case of two- dimensional scattering of a plane wave by a biaxial Omega circular cyl inder. Numerical results for some cases are presented.