Electromagnetic Field Representations in Uniaxial Bianisotropic-Semiconductor Material by Cylindrical Vector Wave Functions

Abstract

Uniaxial bianisotropic-semiconductor material is a generalization of the well-studied semiconductor material and uniaxial medium. It could be realized by arranging chiral objects in a host semiconductor medium, with a preferred direction. This class of material probably opens up the opportunity to realize artificial intelligence in living organisms. In the present study, based on the concept of characteristic waves and the method of angular spectral expansion, electromagnetic field representations in this class of materials are developed. The analysis indicates that solutions of source-free Maxwell equations for uniaxial bianisotropic-semiconductor material can be represented in sum-integral forms of cylindrical vector wave functions. Addition theorem of vector wave functions for uniaxial bianisotropic-semiconductor material can be straightforwardly derived from that of vector wave functions for isotropic medium. An application of the proposed theory in scattering is presented to show how to use these formulations in a practical way.