A spectral recursive transformation method for electromagnetic waves in generalized anisotropic layered media

A transition-matrix method is commonly used to deal with the problems of plane wave scattering from and the Green's function for multilayered generalized anisotropic media. The boundary conditions at the source interfaces are matched numerically. This method, although rigorous analytically, causes numerical singularities in the matrix inversion when the spectral fields are highly attenuating. A recursive variable transformation method is developed to deal with the exponentially growing or decaying terms associated with the spectral matrix method. The proposed scheme is suitable for numerical analysis of generalized anisotropic layers including uniaxial and biaxial materials, biased ferrites, magnetoplasmas, chiral and bi-anisotropic materials without increasing computer time. Applications of the recursive method are highlighted through examples of radiation and scattering from a three-layer ferrite structure and a conductor-backed magnetoplasma layer.