scholarly journals Четырехволновое взаимодействие на фазово-амплитудных голографических решетках в фоторефрактивном пьезокристалле класса симметрии 43m

2022 ◽  
Vol 130 (3) ◽  
pp. 387
Author(s):  
В.Н. Навныко

A system of coupled-wave equations for calculating the vector amplitudes of linearly polarized light waves at four-wave mixing by phase-amplitude holographic gratings in a cubic photorefractive semiconductor of an arbitrary cut belonging to the 4 ̅3m symmetry class is presented. The dependences of the intensities of the polarization components of the reversed light wave on the orientation angle for GaAs crystal of (110)-cut are calculated on the basis of the numerical solution of the system of coupled-wave equations. The obtained dependences are compared with the known theoretical and experimental data. It is shown that the best agreement between the results of theoretical modeling and experimental data at calculating the counterpropagating four-wave mixing in GaAs crystal of (110)-cut is achieved if formation of several phase-amplitude holographic gratings is allowed, and the contribution of the photoelastic and inverse piezoelectric effects are taken into account together with absorption of the crystal.

2021 ◽  
Vol 91 (5) ◽  
pp. 832
Author(s):  
В.Н. Навныко ◽  
С.Ф. Ничипорко ◽  
А.В. Макаревич ◽  
С.М. Шандаров

The regularities of the stationary degenerate four-wave mixing on transmission holographic gratings formed in the Bi12TiO20 crystal of the (110)-cut are analyzed. The system of differential equations has been obtained; this system that can be used to find the components of the vector amplitudes of linearly polarized light waves in the case of four-wave mixing on phase and phase-amplitude holographic gratings. The theoretical model take into account the linear electrooptic, the photoelastic and the inverse piezoelectric effects, as well as natural optical activity, circular dichroism and crystal absorption. The values of the orientation angle and the crystal thickness where the reflection coefficient can reach maximum values are determined. It was experimentally found that the reflection coefficient can reach 2.4 with an optimal choice of the orientation angle in the Bi12TiO20 crystal of (110)-cut with the thickness of 7.7 mm. It is shown that the best agreement between theoretical and experimental data is achieved if the phase-amplitude structure of transmission holographic gratings formed in the Bi12TiO20 crystal is taken into account in the mathematical model of diffraction.


1989 ◽  
Vol 42 (2) ◽  
pp. 197
Author(s):  
YH Ja

A modified scheme using the shooting method to solve the nonlinear coupled�wave equations for degenerate four-wave mixing is proposed. This simple scheme significantly improves the efficiency of this numerical method and the accuracy of computed results.


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