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Нестационарное четырёхволновое взаимодействие в прозрачной двухкомпонентной среде

Ивахник Валерий Владимирович, M. Savelyev

Published Jan 1, 2018• 0 citations
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Abstract

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.

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Transient four-wave mixing in a transparent two-component medium

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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.

Computer Optics•Jan 1, 2018•4 citations

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

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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.

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Four-wave mixing on thermal nonlinearity with feedback for signal or object waves

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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.

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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.

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Characteristics of a four-wave radiation converter in a multimode waveguide with resonant nonlinearity

Valery V. Ivakhnik, Елена Викторовна Воробьева, Darkhan R. Kapizov

Quality of the wavefront reversal by a four-wave radiation converter in a parabolic waveguide with resonant nonlinearity have been analyzed using the point spread function. Medium with resonant nonlinearity have been modeled by an ensemble of particles described by a two-level energy scheme. It has been shown that over time, the half-width of the point spread function module decreases, reaching a stationary value, the magnitude of which is determined by the first pump wave intensity in the case of a long waveguide. A decrease in the pump radius at low intensity of the first pump wave leads to a decrease in the half-width of the point spread function modulus (the quality of the wavefront reversal improves), and at high intensity leads to an increase in the half-width of the point spread function modulus (the quality of the wavefront reversal deteriorates) in the stationary case with distribution on the back waveguide face depending on the transverse coordinate of the second pump wave amplitude of the according to the Gaussian law.

International Conference on Information Technology and Nanotechnology (ITNT)•Apr 17, 2023•0 citations

Four-wave mixing on thermal and resonant nonlinearities with feedback for object and signal waves

Александр Александрович Акимов, Valery V. Ivakhnik, Kseniya G. Kazakova

Background. The need to create highly efficient four-wave radiation converters in order to use them in adaptive optics systems, for real-time processing of complex spatio-temporal fields, in interferometry, quantum cryptography, etc. requires along with the use of traditional methods to increase the efficiency of such converters by increasing the interaction length, radiation power density, effective value of the nonlinear susceptibility of the development of new methods. One of these methods is a method based on the imposition of feedback on one or more interacting waves. Aim. The influence of feedback on the amplitude reflection coefficient of the degenerate four-wave radiation converter on thermal and resonant nonlinearities has been considered. Methods. The amplitude reflection coefficient of a degenerate four-wave radiation converter on thermal and resonant nonlinearities in the presence of feedback for both object and signal waves has been analyzed by a numerical method based on the multiple passage of the signal and object waves of the nonlinear layer in the ring resonator. Results. It was shown, that the difference in the reflection coefficients in the presence and absence of feedback for both object and signal waves increase monotonically with a growth in the pumping waves intensity and does not depend on the parameter characterizing the relationship between thermal and resonant nonlinearities at the approximation of a small reflection coefficient. Conclusion. The range of values of the absorption coefficient in which the imposition of feedback for both object and signal waves leads to an increase in the efficiency of the four-wave radiation converter has been established.

Physics of Wave Processes and Radio Systems•Jul 1, 2023•1 citation
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.
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.
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.
Quality of the wavefront reversal by a four-wave radiation converter in a parabolic waveguide with resonant nonlinearity have been analyzed using the point spread function. Medium with resonant nonlinearity have been modeled by an ensemble of particles described by a two-level energy scheme. It has been shown that over time, the half-width of the point spread function module decreases, reaching a stationary value, the magnitude of which is determined by the first pump wave intensity in the case of a long waveguide. A decrease in the pump radius at low intensity of the first pump wave leads to a decrease in the half-width of the point spread function modulus (the quality of the wavefront reversal improves), and at high intensity leads to an increase in the half-width of the point spread function modulus (the quality of the wavefront reversal deteriorates) in the stationary case with distribution on the back waveguide face depending on the transverse coordinate of the second pump wave amplitude of the according to the Gaussian law.
Background. The need to create highly efficient four-wave radiation converters in order to use them in adaptive optics systems, for real-time processing of complex spatio-temporal fields, in interferometry, quantum cryptography, etc. requires along with the use of traditional methods to increase the efficiency of such converters by increasing the interaction length, radiation power density, effective value of the nonlinear susceptibility of the development of new methods. One of these methods is a method based on the imposition of feedback on one or more interacting waves. Aim. The influence of feedback on the amplitude reflection coefficient of the degenerate four-wave radiation converter on thermal and resonant nonlinearities has been considered. Methods. The amplitude reflection coefficient of a degenerate four-wave radiation converter on thermal and resonant nonlinearities in the presence of feedback for both object and signal waves has been analyzed by a numerical method based on the multiple passage of the signal and object waves of the nonlinear layer in the ring resonator. Results. It was shown, that the difference in the reflection coefficients in the presence and absence of feedback for both object and signal waves increase monotonically with a growth in the pumping waves intensity and does not depend on the parameter characterizing the relationship between thermal and resonant nonlinearities at the approximation of a small reflection coefficient. Conclusion. The range of values of the absorption coefficient in which the imposition of feedback for both object and signal waves leads to an increase in the efficiency of the four-wave radiation converter has been established.