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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Formation of holographic gratings and dynamics of four-wave mixing in nonlinear microresonators

O. G. Romanov, Omar A. Ormachea, Alexei L. Tolstik, José Luis Arce Diego, David Pereda Cubián, Félix Fanjul-Vélez

Published May 31, 2006• 3 citations
Publisher

Abstract

The results of theoretical and experimental investigations into degenerate and non-degenerate four-wave mixing in Fabry-Perot microresonator with dye solution as a nonlinear medium are presented. It is shown that the efficiency of holographic methods for wave-front and frequency conversion may be considerably increased due to the use of recording of dynamic holograms in nonlinear interferometers. Spatial-temporal transformation of light beams for different configurations of interaction has been performed and the methods for control of energy efficiency of intracavity dynamics gratings are discussed.

DOI
10.1117/12.676523

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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Feb 7, 2006•0 citations
The results of theoretical and experimental investigations into degenerate and non-degenerate four-wave mixing in Fabry-Perot microresonator with dye solution as a nonlinear medium are presented. It is shown that the efficiency of holographic methods for wave-front and frequency conversion may be considerably increased due to the use of recording of dynamic holograms in nonlinear interferometers. Spatial-temporal transformation of light beams for different configurations of interaction has been performed and the methods for control of energy efficiency of intracavity dynamics gratings are discussed.
The results of theoretical and experimental investigations into four-wave mixing in microresonators with resonant and thermal nonlinearities are presented. Theoretical models of dynamically-induced optical gratings have been derived in two cases of the light beams interaction: when a nonlinear medium is incorporated into Fabry-Perot interferometer and for the off-cavity configuration. Experimental realization of intracavity four-wave mixing performed using ethanol solution of Rodamine 6G as a nonlinear medium. It is shown that the use of nonlinear interferometer increases significantly an efficiency of dynamic optical gratings. The potentialities for obtaining of high efficiency conversion of optical information owing the spectroscopic properties of multilevel resonant media are discussed.
In this work the different schemes of propagation and interaction of the light beams in nonlinear Fabry-Perot interferometer have been studied theoretically and experimentally. Degenerate and non-degenerate four-wave mixing have been realized in the cavity of Fabry-Perot type using Rhodamine-6G dye and polymethine dye 3274U solution as saturable absorber. The diffraction efficiency of intracavity dynamic grating has been studied in dependence on intensity of interacting beams and parameters of resonator. The theoretical model of the processes of intracavity degenerate and non-degenerate four-wave mixing has been developed and applied to the analysis of the efficiency of light beams conversion by mean of Bragg diffraction from intracavity dynamic gratings. For theoretical description of typical experimental situations we used the round-trip model of nonlinear interferometer adapted for the geometry of degenerate four-wave mixing, which can be realized in the scheme of symmetrical oblique incidence of pump, signal and probe beams to the front and back mirrors of cavity.
Advances in the development of nonlinear interference and holographic systems based on four-wave mixing point to great potentialities of these systems for real-time processing and correction of the light fields, formation of the desired space-time structures of laser radiation, image transfer, realization of logic and mathematical operations, creation of bistable devices and adaptive optics elements. This work presents the results of theoretical and experimental studies into the processes of light field transformations upon frequency-nondegenerate four-wave mixing in nonlinear Fabry-Perot interferometer. The principal aim is to develop a theory of intracavity four-wave mixing in complex molecular media in conditions of exhibited internal (scattering from dynamic gratings) and external (resonator) feedback, to determine a mechanism of light field transformations at the dynamic holograms and by nonlinear interferometers, to work out and introduce into practice novel nonlinear-optical methods for the control over characteristics of light beams. For theoretical description of typical experimental situations we used the round-trip model of interferometer adapted for the geometry of four-wave mixing, which can be realized in the scheme of symmetrical oblique incidence of reference and signal beams to the front and back mirrors of cavity. The conditions of magnification of dynamic gratings efficiency due to contribution from multiple interference of reading light beams have been studied experimentally and by means of theoretical modeling.
The schemes for recording and reading of dynamic holograms in conditions of nondegenerate four- and six-wave mixing in a nonlinear Fabry-Perot interferometer have been analyzed theoretically. It has been demonstrated that there is a possibility for a considerable improvement in the diffraction efficiency and angular selectivity of dynamic gratings in the interferometer compared to the off-cavity interaction. A method for the frequency conversion of coherent images with simultaneous phase conjugation has been realized experimentally.
This work presents theoretical and experimental studies of the processes of light field transformations upon frequency-nondegenerate fourwave mixing (NFWM) in a nonlinear Fabry-Perot interferometer (FPI). The principal aims are the development of a theory for intracavity four-wave mixing in complex molecular media in conditions of scattering from dynamic gratings and resonator feedback; determination of a mechanism of light field transformations in dynamic holograms, and also by nonlinear interferometers; working out and introduction of novel nonlinear-optical methods to control the characteristics of light beams. High diffraction efficiency (up to 13.5%) with simultaneous infrared-to-visible frequency conversion of coherent images has been experimentally obtained by intracavity NFWM.
One of the main advances of dynamical holography is the possibility to operate with coherent images in real-time experimental situation. Non-degenerate four-wave mixing has some advantages among different holographic methods because it gives the possibility to perform visualization of infra-red images or to convert visible radiation into ultra-violet region. In the work we study different schemes of frequency conversion of coherent images by thin and volume dynamic holograms nonlinearly formed in multilevel resonance media in conditions of non-degenerate four-wave mixing. The theoretical model of dynamic gratings formation in dye solutions based on coupled-wave equations has been developed. Experimental realization of frequency conversion of coherent images from infra-red to the visible and between different wavelengths of visible region has been performed. It has been shown that the criterion of hologram thickness is dependent on the optical density of medium and intensity of input radiation. The diffraction efficiency of dynamic gratings has been measured in conditions of optical bleaching and in the mode of strong absorption, enabling recording of thin gratings.