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Topological wave features near degeneracies in acoustics and optics of absorptive crystals

Alshits V., Lyubimov V., Radowicz A.

Vibrations in Physical Systems

2012

Vol. 25

33--40

The unified formalism for description of acoustic and optic properties is developed for directions close to degeneracies in absorbing crystals. The absorption splits a conical degeneracy which causes topological transformations in polarization and geometrical features of degenerate branches. Polarization ellipses distributions gain singularities at the degeneracy points characterized by the Poincaré indices n = ±1/4. The slowness surfaces acquire lines of self-intersection connecting the split degeneracy points where the wedge of intersection has infinitely sharp tips. Geometrical and polarization singularities due to absorption create non-trivial features in conical refraction. For any direction of propagation in the vicinity of the split axes the ray velocity precesses along the universal cone of refraction. Kinematics of this precession appreciably depends on the propagation direction. Conditions for experimental observation of the predicted effects are discussed.

The behavior of the Poynting vector in the area of elementary polarization singularities.

Mokhun I., Khrobatin R., Mokhun A., Viktorovskaya J.

Optica Applicata

2007

Vol. 37, nr 3

261-277

The behavior of the Poynting vector in the area of elementary polarization singularities withone or two C-points, which are bounded by regular shape s-contour is considered. It has been shown that C-points are associated with the "vortex" kind singularities of the averaged transversal component of the Poynting vector if the handedness factor and topological charge of C-point are characterized by different signs. "Passive" Poynting singularities arise in the area if the signs are the same. It has been shown that the positions of the Poynting singularities shift relatively to the C-points under the phase and amplitude asymmetry of orthogonal components of the resulting field. The results of the computer simulation are presented.

Fine structure of heterogeneous vector field and its space averaged polarization characteristics

Brandel R., Mokhun A., Mokhun I., Viktorovskaya J.

Optica Applicata

2006

Vol. 36, nr 1

79-95

Interrelation between the fine structure of the vector field and its averaged polarization characteristics is considered. It is shown that space averaged Stokes parameters are defined by dispersion of the phase difference (or dispersion of the polarization azimuth) at its saddle points. At the same time the dispersion of the phase difference is directly related to averaged space between the nearest adjacent component vortices of the same sign, which are associated with the different orthogonal linearly polarized components. The dependence between the dimensions of areas where considerable polarization changes occur and averaged space between the nearest adjacent component vortices of the same sign is obtained. The results of computer simulation and the experimental investigation are presented.