The matrix solution of the 4×4 problem by the Wentzel-Kramers-Brillouin method for a planar inhomogeneous anisotropic layer
Moiseeva N.M., Moiseev A.V.


Volgograd State University, Volgograd, Russia


Using methods of classical electrodynamics, we consider the oblique incidence of a plane electromagnetic wave on a twisted planar anisotropic inhomogeneous layer, in which the optical axis changes direction with respect to the plane of incidence. We consider the general case when all components of the permittivity tensor of the medium are nonzero functions of the transverse coordinate in the layer. Using the Wentzel-Kramers-Brillouin method, we obtain in  the initial approximation a 4×4-matrix solution for the projections of the fields of an electromagnetic wave in an inhomogeneous anisotropic medium. The matrix reflection coefficients are calculated and shown to depend on the torsion angle of the medium.

thin films, optical properties, light polarization, anisotropic optical materials, birefringence, inhomogeneous media, WKB method, 4×4 method, reflection matrix.

Moiseeva NM, Moiseev AV. The matrix solution of the 4×4 problem by the Wentzel-Kramers-Brillouin method for a planar inhomogeneous anisotropic layer. Computer Optics 2018; 42(3): 354-361. DOI: 10.18287/2412-6179-2018-42-3-354-361.


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