Diffraction of light on ultrasound in gyrotropic cubic crystals in bragg conditions

Presented at the All-Union Seminar on the Optics of Anisotropic Media, April 9–13, 1990, Zvenigorod.     

Diffraction of light beams by damped ultrasonic waves in gyrotropic cubic crystals

The diffraction of light beams by ultrasound with a two-dimensionally nonuniform, exponentially damped amplitude distribution in gyrotropic cubic crystals is investigated theoretically. An analytical model of strong acoustooptic interaction is constructed on the basis of self-consistent solutions of the vector-matrix partial differential equations for coupled waves written in the amplitudes of the light beam. The model can be used to determine the spatial profiles of the intensity and the polarization structure of the diffracted field for arbitrary diffraction efficiencies and geometries. Numerical simulation results are given.State Academy of Control Systems and Radio Electronics, Tomsk. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 8–19, February, 1995.     

Intermediate regime for the diffraction of light on ultrasound in gyrotropic anisotropic crystals

An intermediate regime for the diffraction of light on ultrasound in gyrotropic anisotropic and cubic crystals in an external electric field is considered. A system of equations of the coupled waves, which describes acoustooptic diffraction in gyrotropic anisotropic crystals with consideration of the electrically induced optical anisotropy for a strong interaction between light and ultrasound, is presented. An intermediate regime for the diffraction of light on ultrasound in gyrotropic anisotropic crystals which is close to the Bragg regime for a weak acoustooptic interaction is studied. It is shown that the diffracted light is elliptically polarized and that the ellipticity and polarization azimuth of the diffracted wave depend on the anisotropy of the photoelasticity, the electrically induced anisotropy of the crystal in the external electric field, the gyrotropy, and the asymmetry of the diffraction structure. Zh. Tekh. Fiz. 67, 80–82 (September 1997)     

Diffraction of light beams in media with longitudinal-transverse inhomogeneity

A theory has been developed to describe the propagation of planar wave beams in media with linear or nonlinear susceptibility modulated in the transverse and longitudinal directions. The diffraction in curved coupled waveguides and from wedge-shaped inhomogeneities is considered. Ray trajectories are found and the Schrödinger equation for the beam envelope is solved numerically. The spatial dynamics of energy redistribution in the beam cross section is described. Conditions for suppressing the beam spread due to the refractive index modulation are found.     

双轴螺旋向性负材料中极化光波的左-右旋偏振耦合

研究了双轴螺旋向性负材料中极化光波的左 右旋偏振耦合效应.证明这种极化光的左-右偏振耦合效应导致在介质中传播的左右旋光具有频率移动效应.讨论了极化光左-右偏振耦合效应的起源（非局域极化效应）与它的若干应用, 如可控位置依赖频移. 关键词： 左-右偏振耦合 负材料 频移     

Ray dispersion in random gyrotropic media

We give a systematic derivation of the Fokker-Planck equation for the joint probability density of the position and the ray vector of rays propagating in a gyrotropic medium with random inhomogeneities. The results are a generalization of preceding work for the case of an isotropic medium.     

Wave nonreciprocity in inhomogeneous gyrotropic media and multilayer systems: I. Inhomogeneous gyrotropic media

The propagation of electromagnetic waves in naturally (or structurally) gyrotropic inhomogeneous media is considered. A new mechanism of wave nonreciprocity is found, which is caused by the simultaneous presence of a gradient of one of the parameters of a medium and natural (or structural) gyrotropy. The problem of light transmission through a layer of a naturally gyrotropic inhomogeneous medium of finite thickness is solved by the method of addition of layers. Specific features of this nonreciprocity are considered. It is shown that such a system can operate as a one-sided reflector at certain angles of incidence of light. The mechanisms of enhancement of the nonreciprocity effects are investigated. It is shown that multiple reflections in a layer of finite thickness and diffraction of light by periodic inhomogeneities of a medium increase the nonreciprocity effects by several (from 2 to 5) orders of magnitude. This phenomenon, in turn, opens new fields of application of the nonreciprocity effects. Another interesting manifestation of wave nonreciprocity is revealed, which consists in asymmetry of the curve R(?):R(?)≠R(??) (R is the reflectance and ? is the angle of incidence).     

On phenomenological electrodynamics of gyrotropic media

Using the principle of symmetry of the kinetic coefficients the material equation structure in gyrotropic media with sharp boundaries is determined. The obtained results are also valid in the presence of energy losses in the surface layer.     

Electromagnetic waves in isotropic and gyrotropic media

Maxwell’s equations are considered for waves in transparent inhomogeneous anisotropic and gyrotropic media with time dispersion. A uniaxial inhomogeneous crystal is taken for an anisotropic medium and an isotropic heterogeneous medium in a constant electric field for a gyrotropic medium. The solutions for flat-layered and cylindrical media are presented in terms of Hertz potentials. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 82–86, March, 2008.     

Bragg diffraction of light beams by ultrasound with a curved wave front in gyrotropic cubic crystals

We have investigated Bragg diffraction of light beams by ultrasound in gyrotropic cubic crystals for strong acoustoopitc interaction. We have obtained analytical solutions of the vector-matrix coupled-wave equations in partial derivatives relative to the spatial distributions of the light beams and their angular spectra. We consider the asymptotic form of the solutions in different regimes and the diffraction efficiencies. We study the transformation of the amplitude and polarization distributions with respect to the angular spectrum of the diffracted radiation under strong-interaction conditions in the field of an ultrasonic beam with a curved wave front.Tomsk Institute of Automated Control Systems and Radioelectronics. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 37, No. 3, pp. 273–288, March, 1994.