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Photorefractive Effects, Materials, and Devices

Intermode Frequency Nondegenerate Four-Wave Mixing in Planar Waveguides

Evgeny Shandarov

Published Jan 1, 1993• 0 citations
Publisher

Abstract

INTRODUCTION The intermode parametric light scattering experimentally observed in LiNbOQ planar waveguides [11. The weak scattering beams amplified by the pump beam because of the photorefractive grating formation. The frequencies of the scattering and pump beams may be different [21. The present paper is devoted to the analysis of the intermode four-wave frequency-nondegenerate mixing in planar waveguides.

DOI
10.1364/pmed.1993.frc.15

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INTRODUCTION The intermode parametric light scattering experimentally observed in LiNbOQ planar waveguides [11. The weak scattering beams amplified by the pump beam because of the photorefractive grating formation. The frequencies of the scattering and pump beams may be different [21. The present paper is devoted to the analysis of the intermode four-wave frequency-nondegenerate mixing in planar waveguides.
A theoretical investigation is made of parametric generation of light by four-wave mixing in an optical cavity with two pump fields of different frequencies. Mixing configurations resulting in the excitation of one and three cavity modes are considered taking into account the effects of phase modulation and of depletion of the pump fields. An analysis is made of stable steady-state oscillation regimes. Calculations are reported of the intensities of the generated radiation modes at the exit from the cavity above the threshold. An analysis is made of the conditions for the appearance of optical bistability at nonzero values of the cavity detuning.
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.
A theoretical investigation is made of parametric generation of light by four-wave mixing in an optical cavity with two pump fields of different frequencies. Mixing configurations resulting in the excitation of one and three cavity modes are are considered taking into account the effects of phase modulation and ef depletion of the pump fields. An analysis is made of stable steady-state oscillation regimes. Calculations are reported or the intensities of the generated radiation modes at the exit from the cavity above the threshold. An analysis is made of the conditions for the appearance of optical bistability at nonzero values of the cavity detuning.