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Physics of Wave Processes and Radio Systems

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

А. А. Akimov, А. А. Akimov, Ekaterina Vorobeva, Elena Vorobeva, Valery V. Ivakhnik, Valery V. Ivakhnik

Published Mar 15, 2012• 0 citations
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Abstract

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.

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

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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.

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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.

Physics of Wave Processes and Radio Systems•Dec 15, 2013•0 citations
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.
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.
The influence of feedback for both signal and object waves on the amplitude reflection coefficient of a four-wave radiation converter on thermal nonlinearity has been considered. The dependences of the reflection coefficient of a four-wave converter on the parameters of a ring-type resonator, which provides the feedback, and the pump intensity have been obtained and analyzed. It was shown that the use of a ring-type resonator allows one to increase the reflection coefficient of a four-wave radiation converter on thermal nonlinearity by several times.
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.
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.