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COLLISIONS OFSPATIALSOLITONS INOPTICALLY INDUCEDLATTICES

OlegG . Romanov

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

Wepresent thetheoretical model ofcoherent interactions ofthelight beams inatwo-level resonant medium, taking into account aspatial-periodic modulation oftheparameters ofnonlinear mediuminan interference field aswell asnonlinear behavior ofrefractive index andabsorption coefficient duetooptical bleaching. Asevidenced bytheresults ofinvestigations described inthis work, theprocess oflight beams interaction viascattering fromdynamically-induced optical gratings intwo-level resonant mediumis characterized byanumber ofinteresting features like mutual attraction andrepulsion, irradiation ofadditional beamsprobably duetosoliton-soliton diffraction mode, formation ofdarkspatial solitons inthemodeof defocusing interaction that canbeused forall-optical control overthespatial structure oflaser beams. ~~~~~n=l

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Wepresent thetheoretical model ofcoherent interactions ofthelight beams inatwo-level resonant medium, taking into account aspatial-periodic modulation oftheparameters ofnonlinear mediuminan interference field aswell asnonlinear behavior ofrefractive index andabsorption coefficient duetooptical bleaching. Asevidenced bytheresults ofinvestigations described inthis work, theprocess oflight beams interaction viascattering fromdynamically-induced optical gratings intwo-level resonant mediumis characterized byanumber ofinteresting features like mutual attraction andrepulsion, irradiation ofadditional beamsprobably duetosoliton-soliton diffraction mode, formation ofdarkspatial solitons inthemodeof defocusing interaction that canbeused forall-optical control overthespatial structure oflaser beams. ~~~~~n=l
We present the theoretical model of coherent interactions of the light beams in a two-level resonant medium, taking into account a spatial-periodic modulation of the parameters of nonlinear medium in an interference field as well as nonlinear behavior of refractive index and absorption coefficient due to optical bleaching. As evidenced by the results of investigations described in this work, the process of light beams interaction via scattering from dynamically-induced optical gratings in two-level resonant medium is characterized by a number of interesting features like mutual attraction and repulsion, irradiation of additional beams probably due to soliton-soliton diffraction mode, formation of dark spatial solitons in the mode of defocusing interaction that can be used for all-optical control over the spatial structure of laser beams
We present the theoretical model of coherent interactions of the light beams in a two-level resonant medium, taking into account a spatial-periodic modulation of the parameters of nonlinear medium in an interference field as well as nonlinear behavior of refractive index and absorption coefficient due to optical bleaching. As evidenced by the results of investigations described in this work, the process of the light beams interaction via scattering from dynamically induced optical gratings in two-level resonant medium is characterized by a number of interesting features like mutual attraction and repulsion, irradiation of additional beams probably due to soliton-soliton diffraction mode, formation of dark spatial solitons in the mode of defocusing interaction that can be used for all-optical control over the spatial structure of laser beams. Formation of bound states of spatial cavity solitons upon intracavity four-wave mixing and possibilities for control over all-optical soliton-based operations are also discussed.
We demonstrate a scheme for coherently induced grating based on a mixture of two three-level atomic species interacting with two standing-wave fields. As a result of interaction between the absorptive and amplified Raman resonances, the refractive index of the medium can be enhanced and modulated periodically. Then a sinusoidal grating, which can diffract the probe field into high-order directions, is coherently formed in the medium. The proposed scheme is theoretically investigated in a mixture of atomic isotopes of rubidium. The results show that the diffraction efficiency depends strongly on the two two-photon detunings of the two Raman transitions and the intensities of the two driving standing-wave fields. The proposed electromagnetically induced grating scheme may be applied to the all-optical switching and beam splitting in optical networking and communication.
We propose a theoretical scheme for creating a two-dimensional Electromagnetically Induced Grating in a three-level [Formula: see text]-type atomic system interacting with a weak probe field and two simultaneous position-dependent coupling fields-a two dimensional standing wave and an optical vortex beam. Upon derivation of the Maxwell wave equation, describing the dynamic response of the probe light in the atomic medium, we perform numerical calculations of the amplitude, phase modulations and Fraunhofer diffraction pattern of the probe field under different system parameters. We show that due to the azimuthal modulation of the Laguerre-Gaussian field, a two-dimensional asymmetric grating is observed, giving an increase of the zeroth and high orders of diffraction, thus transferring the probe energy to the high orders of direction. The asymmetry is especially seen in the case of combining a resonant probe with an off-resonant standing wave coupling and optical vortex fields. Unlike in previously reported asymmetric diffraction gratings for PT symmetric structures, the parity time symmetric structure is not necessary for the asymmetric diffraction grating presented here. The asymmetry is due to the constructive and destructive interference between the amplitude and phase modulations of the grating system, resulting in complete blocking of the diffracted photons at negative or positive angles, due to the coupling of the vortex beam. A detailed analysis of the probe field energy transfer to different orders of diffraction in the case of off-resonant standing wave coupling field proves the possibility of direct control over the performance of the grating.