GENERALIZATION OF A SCATTERING THEOREM FOR PLANE-STRATIFIED GYROTROPIC MEDIA

A previously derived eigenmode scattering theorem for plane-stratified gyrotropic media established that the scattering matrices S and S′, defined, respectively, in terms of a given and a conjugate set of eigenmode amplitudes, are mutually transposed, i.e. {Mathematical expression}, the theorem being valid specifically for the incoming and outgoing eigenmodes of gyrotropic bounding media. In this paper the theorem is extended to include linearly and circularly polarized base-modes in the isotropic media which may bound the multilayered, gyrotropic structure. Transformation of the eigenmode scattering matrix leads to a generalization of the scattering theorem to include base modes which are not necessarily eigenmodes of the medium. In the important special case in which the ambient magnetic field is parallel to the plane of the stratification, the scattering matrix is shown to have a special symmetry whose form depends on the base modes chosen (eigenmodes, linear modes or circular modes). © 1979 Springer-Verlag.