STOKES TENSOR RELATIONS ON THE ANISOTROPIC MEDIA BOUNDARY

Given is a tensor operator generalization for the anisotropic case of the Stokes relations, well known in optics of isotropic media. The gen eralized relations connect Fresnel's reflection and transmission opera tors that relate to problems of the 'direct' and 'inverse' normal inci dence of a plane wave on a plane interface of two half-infinite linear homogeneous gyroanisotropic media. Example evaluation of the Fresnel tensor for the case of an interface between a vacuum and an anisotropi c optical active medium of class 4 2 2 is given. The evolution solutio n of tensor Helmholz equation for homogeneous isotropic media is obtai ned. The solution is represented in such a basis that one of its direc tions coincides with the propagation direction. It is shown that there is an infinite set of involuntary 2 x 2 matrices Z entering wave inve rsion for all possible types of polarization. Matrix Z components are found to be connected by relations similar to the Stokes ones.