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Известия Самарского научного центра Российской академии наук

Пространственная селективность квазивырожденного четырехволнового преобразователя на резонансной и тепловой нелинейностях при больших коэффициентах отражения

Акимов Александр Александрович, Ивахник Валерий Владимирович, В. И. Никонов

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

The dependences of reflectance (transmittance) and spatial frequencies half*width of object (signal) wave have been obtained in dependence of pumping waves intensity for the nondegenerate four*wave converter on resonant and thermal nonlinearities at various rations between pumping waves frequencies. The influence of difference between the frequencies of pump waves on a quality of wave*front reversal has been investigated at large reflectance.

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Four-wave interaction with allowance for thermal and resonant nonlinearities at large reflectance

А. А. Akimov, А. А. Akimov, Ekaterina Vorobeva +3 more

The dependence of the amplitude and spatial characteristics of the four-wave converter on thermal and resonant nonlinearities from pumping waves intensity has been analyzed. It was shown, that growth of a reflectance degrades a quality of the wave-front reversal. It was established, that behavior of the amplitude and spatial characteristics of object and signal waves match in dependence of pumping waves intensity at large reflectance.

Physics of Wave Processes and Radio Systems•Mar 15, 2012•0 citations

ФУНКЦИЯ РАЗМЫТИЯ ТОЧКИ ЧЕТЫРЕХВОЛНОВОГО ПРЕОБРАЗОВАТЕЛЯ В РЕЗОНАНСНОЙ СРЕДЕ С УЧЕТОМ РАСХОДИМОСТИ ОДНОЙ ИЗ ВОЛН НАКАЧКИ

Александр Александрович Акимов, Елена Владимировна Воробьева, Валерий Владимирович Ивахник

An expression for point spread function has been obtained for a four-wave converter in resonant medium modelled by four-level energy scheme. The depen dences of point spread function width from pumping wave intensity and resonant medium parameters have been found.

•Jan 1, 2011•0 citations

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

Александр Александрович Акимов, Salavat A. Guzairov, Valery V. Ivakhnik

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.

Physics of Wave Processes and Radio Systems•Sep 29, 2022•2 citations

Six-wave interaction with double wavefront reversal on thermal nonlinearity in a medium with a nonlinear absorption coefficient

Валерий Владимирович Ивахник, В И Никонов

Исследована пространственная селективность шестиволнового преобразователя излучения w1 + w1 + w2 – w1 – w1 = w2 на тепловой нелинейности с учетом нелинейного коэффициента поглощения. Проанализированы зависимости полуширин полос пространственных частот как объектных волн, связанных непосредственно с тепловой нелинейностью, так и объектных волн, связанных с наличием тепловой нелинейности, и с нелинейным характером изменения коэффициента поглощения от расходимости сигнальной волны, толщины нелинейной среды, интенсивности волны накачки. Показано, что при большой расходимости сигнальной волны полуширины полос пространственных частот объектных волн с удвоенным обращенным волновым фронтом отличаются в несколько раз.

•Jun 1, 2017•0 citations

Phase conjugation under four-wave mixing on resonant and thermal nonlinearities at relatively high reflection coefficients

A. A. Akimov, Valery V. Ivakhnik, В. И. Никонов

The dependences of the reflection (transmission) coefficients and the half-width of the spatial frequency band on the pump-wave intensity are obtained for an object (signal) wave in degenerate and quasi-degenerate four-wave mixers on resonant and thermal nonlinearities. The effect of the difference of the pump-wave frequencies on the phase-conjugation quality is studied at relatively high reflection coefficients.

Optics and Spectroscopy•Sep 1, 2013•4 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
The dependences of reflectance (transmittance) and spatial frequencies halfwidth of object (signal) wave have been obtained in dependence of pumping waves intensity for the nondegenerate fourwave converter on resonant and thermal nonlinearities at various rations between pumping waves frequencies. The influence of difference between the frequencies of pump waves on a quality of wave*front reversal has been investigated at large reflectance.
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.
Исследована пространственная селективность шестиволнового преобразователя излучения w1 + w1 + w2 – w1 – w1 = w2 на тепловой нелинейности с учетом нелинейного коэффициента поглощения. Проанализированы зависимости полуширин полос пространственных частот как объектных волн, связанных непосредственно с тепловой нелинейностью, так и объектных волн, связанных с наличием тепловой нелинейности, и с нелинейным характером изменения коэффициента поглощения от расходимости сигнальной волны, толщины нелинейной среды, интенсивности волны накачки. Показано, что при большой расходимости сигнальной волны полуширины полос пространственных частот объектных волн с удвоенным обращенным волновым фронтом отличаются в несколько раз.
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.