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Computer Optics

Spatial selectivity of the four-wave radiation converter in a transparent two-component medium in a scheme with concurrent pump waves

Valery V. Ivakhnik, M. Savelyev

Published Jan 1, 2016• 1 citation
Publisher

Abstract

Spatial characteristics of the degenerate four-wave radiation converter in a liquid containing nanoparticles were studied using a scheme with concurrent pump waves. The phase matching condition was shown to determine the general form of the spatial spectrum amplitude of the object wave, with the electrostriction phenomenon and Dufour effect shown to cause the emergence of dips in the spatial spectrum amplitude, with the dip positions corresponding to the propagation directions of the pump waves. The relationship between characteristics of the dips and the pump wave parameters were obtained.

DOI
10.18287/2412-6179-2016-40-3-322-330

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Spatial characteristics of the degenerate four-wave radiation converter in a liquid containing nanoparticles were studied using a scheme with concurrent pump waves. The phase matching condition was shown to determine the general form of the spatial spectrum amplitude of the object wave, with the electrostriction phenomenon and Dufour effect shown to cause the emergence of dips in the spatial spectrum amplitude, with the dip positions corresponding to the propagation directions of the pump waves. The relationship between characteristics of the dips and the pump wave parameters were obtained.
We analyze changes in the spatial structure of an object wave under four-wave mixing in a transparent two-component medium in schemes with opposing and concurrent pump waves. It is shown that in the spatial spectrum of the object wave there is a dip, whose position is determined by the propagation direction of the second pump wave. Angular rotation and frequency shift of the pump waves lead to a decrease in the conversion efficiency of high spatial frequencies. The bandwidth of the spatial frequencies cut out by the four-wave radiation converter decreases monotonically over time, whereas the bandwidth of the most efficiently converted spatial frequencies increases.
We analyze changes in the spatial structure of an object wave under four-wave mixing in a transparent two-component medium in schemes with opposing and concurrent pump waves.It is shown that in the spatial spectrum of the object wave there is a dip, whose position is determined by the propagation direction of the second pump wave.Angular rotation and frequency shift of the pump waves lead to a decrease in the conversion efficiency of high spatial frequencies.The bandwidth of the spatial frequencies cut out by the four-wave radiation converter decreases monotonically over time, whereas the bandwidth of the most efficiently converted spatial frequencies increases.
The coincidence of the amplitude reflection coefficients, half-widths of the spatial frequencies bands of a four-wave radiation converter on thermal nonlinearity with feedback for signal or object waves has been shown at equal pump waves intensity. The dependence of the amplitude reflection coefficient, spatial selectivity of the four-wave radiation converter on thermal nonlinearity on the pump waves intensity has been analyzed. An increase in the half-width of the spatial frequency band is observed with an increase in the pump waves intensity at the compensation for the phase shift arising as a result of the propagation of the pump waves in the medium. There is a threshold value of the pump waves intensity, above which the value of the amplitude reflection coefficient of the four-wave converter with feedback for signal or object waves, is less than in the absence of feedback.
Spatial and temporal characteristics of a degenerate four-wave converter in a multimode waveguide with resonant nonlinearity in a scheme with counter-pumping waves are analyzed using the time response function and the point spread function. For single-mode pump waves with equal mode numbers, the dependences of the time response width on the waveguide length, the intensity of the first pump waves, and the mode number in the mode expansion of the object wave amplitude are obtained for the four-wave converter. The greatest contribution to the object wave amplitude is shown to be from the waveguide mode whose number coincides with the mode number of single-mode pump waves. For the stationary model, taking into account the spatial structure of the Gaussian pump wave leads to a monotonous decrease with a decrease in the pump beam width, followed by a constant value of the PSF module width. With single-mode pump waves with equal mode numbers, An increase in the mode number of the pump waves leads to a redistribution of energy concentrated in the side maxima of the point signal image and improvement in the quality of the wavefront reversal for a model with single-mode pump waves with equal mode numbers.
The analytical expression connecting the time dependence of spatial spectrum of object wave with the time dependence of spatial spectrum of signal wave has been obtained for degenerate four-wave radiation converter on resonant and thermal nonlinearities. It is shown, that simultaneous taking to account two types of nonlinearity lead to emergence of additional wave in an object wave. The connection of exit time to a steady-state value of this additional wave with exit time to a steady-state value of the object waves caused by existence only thermal or only resonant nonlinearities has been found.