In this paper, we consider the reflection of a vector polarized vortex beam from the boundaries of flat inhomogeneous anisotropic layers at oblique incidence. Fourier transforms are used to represent a light beam as a set of plane waves with different directions of wave vectors and amplitudes of projections of the electric field strength vector. Using the boundary conditions for an obliquely incident plane wave in an arbitrarily oriented plane, the light reflection and transmission matrices for plane waves are obtained. The coefficients of the reflection matrices depend on the direction of the wave vector of each incident plane light wave, and are also determined by the optical properties of the medium. The reflected light beam is considered as a collection of reflected plane waves. The structure and polarization of the reflected light beam are calculated using the inverse Fourier transform.
A beam of arbitrary structure is represented as a set of plane monochromatic waves using the Fourier transform. Each of the plane waves falls obliquely in an arbitrary plane of incidence, in such a way that all projections of its wave vector are not equal to zero. The reflection and transmission matrices are obtained for a plane electromagnetic wave incident from an isotropic medium onto a plane inhomogeneous anisotropic layer located on an isotropic base. The found matrices are used to calculate the reflected and transmitted beams.
Waves propagating in a bianisotropic medium with absorption are generally polarized along orthogonal ellipses, special cases are waves of s- and p-polarizations, as well as waves of two circular polarizations. The report presents the transformation of the reflection and transmission matrices when the basis waves change: from a basis of s- and ppolarizations to a basis of right and left circular polarization and to a basis of two orthogonal elliptic polarizations.
We consider the oblique incidence of optical pulses of a special shape: triangular, Gaussian, meander, and also a giant laser pulse onto a flat anisotropic inhomogeneous structure with dispersion. The electromagnetic wave has an elliptical polarization; the direction of the optical axis of the anisotropic uniaxial medium changes with distance from the interface. The change in the shape of the envelopes of pulses of ordinary and extraordinary waves is presented during propagation in an anisotropic inhomogeneous medium with dispersion.
The dependence of the ellipsometric parameters and the coefficients of the reflection matrix on the torsion angle of an inhomogeneous gyrotropic medium is investigated. An oblique incidence of light is considered. For the calculation, a solution is used in the form of a 4 × 4 matrix obtained by the Ventcel-Kramers-Brillouin method.
The problem of reflection of a plane electromagnetic wave incident on a flat non-uniform anisotropic nematic structure is considered. The angular spectra of the energy reflection coefficients and the ellipsometric parameters of the reflected light are calculated using the matrix solution WKB. For comparison, the calculation was performed using the widely used 2 * 2 matrix method in a model of a layered medium. The advantages and limitations of the two methods are shown.
The reflection of linearly polarized light at the boundary of a plane anisotropic layer is considered, the optical axis of which is located arbitrarily in relation to the plane of incidence. Matrix amplitude coefficients of reflection and transmission of light by a plane anisotropic uniaxial layer are obtained, the energy coefficients of reflection, as well as ellipsometric parameters of the reflected light, and also their angular spectra.
In the paper, an oblique incidence of a plane electromagnetic wave on a planar magnetically anisotropic inhomogeneous layer is considered. We consider the case when all the components of the magnetic permeability tensor are non zero and vary with distance from the interface of media. The WKB method gives a matrix 4 × 4 solution for the projections of the electromagnetic wave fields during its propagation. The dependence of the cross-polarized components on the orientation of the anisotropic medium relative to the plane of incidence of the medium is analyzed.
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