Open AccessThe matrix solution of the 4×4 problem by the Wentzel-Kramers-Brillouin method for a planar inhomogeneous anisotropic layer
Author(s) -
Natalja Moiseeva,
Anton Vladimirovich Moiseev
Publication year - 2018
Publication title -
kompʹûternaâ optika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 29
eISSN - 2412-6179
pISSN - 0134-2452
DOI - 10.18287/2412-6179-2018-42-3-354-361
Subject(s) - anisotropy , brillouin zone , plane of incidence , planar , physics , plane wave , tensor (intrinsic definition) , transverse plane , matrix (chemical analysis) , mathematical analysis , electromagnetic radiation , optics , mathematics , geometry , materials science , computer graphics (images) , structural engineering , computer science , composite material , engineering
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.