Abstract
The peculiarities have been studied of acoustooptic (AO) diffraction of quasi- nondiffracting vector Bessel light beams (BLB) on the ultrasound waves in optical gyrotropic cubic crystals. The system of coupled equations describing the process of acoustooptic interaction is solved, diffraction efficiency has been calculated. The mathematical description of AO interaction, which differs from the similar description for the plane optical waves means of two types of synchronism, is conducted. It is shown that besides the usual longitudinal synchronism realized at the equality of phase velocities transmitted and diffracted waves, for Bessel beams it is also necessary to perform the so-called transverse synchronism. It is related with the fact, that Bessel beams with differing cone angles have different spatial structure and, consequently, various values of overlap integral with the input beam. The possibility has been investigated of transformation of the order of phase dislocation of Bessel beams wave front due to AO diffraction. It is proposed to use the process of acoustooptic diffraction in gyrotropic cubic crystals as a method for dynamic manipulation of polarization state of output Bessel beam, particularly for transformation of left- to right (and vice versa) polarization states.
Highlights
An important area of Bessel light beams (BLB) research is the elaboration of the methods for transformation of phase dislocation order of their wave front
In papers [14,15] the orbital angular momentum of BLB is calculated with the demonstration of the transfer of the orbital angular momentum to a low-index particle trapped in optical tweezers with the help of a high-order Bessel beam
X = qρ, eρ,φ,z are the unite vectors of the cylindrical system, k±z = kz ± β, β = α k0 ⁄cos(γ0) is the specific polarization rotation, γ0 is the cone angle of the refracted BLB without gyrotropy, α is the parameter of medium gyrotropy, m is the integer, ρ,φ, z are the cylindrical coordinates, peculiarities of AO interaction of Bessel beams in gyrotropic cubic crystals of different symmetry will be considered in
Summary
An important area of Bessel light beams (BLB) research is the elaboration of the methods for transformation of phase dislocation order of their wave front. X)ez x = qρ, eρ,φ,z are the unite vectors of the cylindrical system, k±z = kz ± β, β = α k0 ⁄cos(γ0) is the specific polarization rotation, γ0 is the cone angle of the refracted BLB without gyrotropy, α is the parameter of medium gyrotropy, m is the integer, ρ,φ, z are the cylindrical coordinates, peculiarities of AO interaction of Bessel beams in gyrotropic cubic crystals of different symmetry will be considered in. Let us consider the geometry of AO interaction when TH-polarized Bessel beam incidents from isotropic medium with the refractive index n1 on the boundary with a gyrotropic medium It follows from the boundary conditions that in the crystal two
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