Field representations in general gyrotropic media in spherical coordinates

This paper presents a field expansion of the solution to 3D electromagnetic problems in a material characterized by the general gyrotropic media. Both ε~ and μ~ tensors are gyrotropic, specified by six components and considered in the present analysis under spherical coordinates. Electromagnetic fields in general gyrotropic media are solved by using the method of separation of variables. Much effort is paid to the solution of a coupled set of second-order differential equations. Some specific situations of the parameters are investigated in detail. By properly grouping some terms, the electromagnetic fields are represented in a compact form. Compared to the existing results in the spherical coordinate system, the material properties investigated in this paper are more general. The general expressions of the fields are found to be reducible to those of existing results for simpler cases.