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

Collisions of spatial solitons in optically induced lattices

O. G. Romanov

Published Feb 14, 2008• 0 citations

Abstract

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.

DOI: 10.1117/12.793328

Related papers

Collisions of spatial solitons in optically induced lattices

O. G. Romanov

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

International Conference on Laser and Fiber-Optical Networks ModelingDec 22, 20050 citations

COLLISIONS OFSPATIALSOLITONS INOPTICALLY INDUCEDLATTICES

OlegG . Romanov

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

Jan 1, 20050 citations

Coherently induced grating in refractive index enhanced medium

Zhuan-Zhuan Liu, Yu-Yuan Chen, Jia-Yu Yuan +1 more

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.

Chinese Physics BDec 1, 20175 citations

Spatial solitons and instabilities of light beams in a three-level atomic medium with a standing-wave control field

Chao Hang, V. V. Konotop, Guoxiang Huang

We consider propagation of a weakly nonlinear probe light beam in a resonant three-level atomic system where an optical lattice is induced by a standing-wave control field and conditions for electromagnetically induced transparency are created. We employ a unified theory to solve the respective nonlinear system of equations in various regimes and investigate formation of spatial optical solitons and instabilities, both analytically and numerically. We show that the effect of the lattice is twofold. On the one hand it allows one to reduce the probe beam intensity necessary for observation of nonlinear effects until the level of one-photon energy, and on the other hand the lattice allows for implementation of different dynamical regimes either by simple manipulation of its parameters or by varying one- and two-photon detunings or by changing the geometry of the incident probe beam.

Physical Review AMar 17, 200935 citations

Coherent control of optical processes in a resonant medium

Christopher O’Brien

The resonant absorption, emission, and scattering of light are the fundamental optical processes that have been used both to probe matter and to manipulate light itself. In the last decade there has been essential progress in coherent control of both linear and nonlinear optical responses based on resonant excitation of atomic coherence in multilevel quantum systems. Some interesting and useful phenomena, resulting from coherent control of absorption and the group index, such as electromagnetically induced transparency, lasing without inversion, and ultra-slow group velocity of light have been widely studied. This work is focused on coherent control of refractive index and resonant fluorescence in multilevel medium. \n \nWe suggest two promising schemes for resonant enhancement of the refractive index with eliminated absorption and propose their implementation in transition element doped crystals with excited state absorption and in a cell of Rb atoms at natural abundance. We show how to use one of these schemes for spatial variation of the refractive index via its periodic resonant increase/decrease, remarkably keeping at the same time zero absorption/gain. It opens the way to production of transparent photonic structures (such as distributed Bragg reflectors, holey fibers, or photonic crystals) in a homogeneous resonant atomic media such as dielectrics with homogeneously distributed impurities, atomic, or molecular gases. These optically produced photonic structures could easily be controlled (including switching on/off, changing amplitude and period of modulation) and would be highly selective in frequency, naturally limited by the width of the optical resonance. \n \nWe also derive the optical fluorescence spectra of a three-level medium driven by two coherent fields at the adjacent transitions in a general case when all three transitions are allowed. We show that coherent driving can efficiently control the distribution of intensities between the fluorescent channels. In particular, the total intensity of fluorescence at the transition which is not driven by the optical fields may essentially exceed the fluorescence intensity at the driven transitions under the condition of two-photon resonance. This counter-intuitive effect is due to depletion of the intermediate state via atomic interference.

Dec 1, 20110 citations

Coherent control of optical soliton interaction via electromagnetically induced transparency with spatial modulation

Yundong Zhang, Xiangchun Tian, Yu Duan +3 more

We propose a scheme to realize the coherent control of optical soliton propagation and interaction in a three level Λ type electromagnetically induced transparency system with the control field being spatially modulated. We show that the spatial perturbation of the control field has no influence on the linear propagation properties and self-phase modulation of the probe field but can produce an equivalent external potential to affect the nonlinear propagation of the probe field. For single soliton propagation, we realize the transmission and trapping of optical solitons via external potential. For double soliton interaction, we realize the coherent control of attractive and repulsion interactions of two optical solitons and design an XNOR logical operation. Finally, for the triple soliton incident case, based on the coherent control of interaction between three solitons via external potential, we design a beam selector. The results obtained here are useful not only for the deep understanding of optical soliton interaction but also for applications in all optical quantum information processing.

AIP AdvancesDec 1, 20212 citations