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Propagation of a radiation pulse in a resonantly absorbing gaseous medium

Vladimir Anatol’evich Levin, A. A. Sorokin, Alexander M. Starik

Soviet physics. DokladyApr 1, 19870 citations

Distortionless propagation of optical pulses in a resonant medium

S.R. Barone

Physics Letters AJun 1, 19706 citations

Interaction of multi-optical solitions in the three-level gaseous media

Jianqiang Sun, Luo Si-Yu, Cai Bai-Guang

Optical solitons in gaseous atomic media display many striking features under electromagnetically induced transparency (EIT). Study of theoretical model, which describes these features of optical solitons, has important meaning in optical informational process and propagation. Two-dimensional saturated nonlinear Schrdinger equation, which describes the spatial soliton evolution in the three-level gaseous atomic EIT media, is transformed into the Hamilton system with the symplectic structure. The Hamilton system is discretizated by the symplectic method. The corresponding symplectic scheme is obtained. Evolution behaviors of two and four spatial solitons with the same amplitude in a three-level, gaseous atomic EIT media are simulated by the symplectic scheme. Numerical results further show that the phase difference and the direction of the entering gauss beams have an obvious effect on the interaction of multi-solitons. The entering Gauss beam can form the stable optical solitons in a gaseous atomic media.Optical solitons in gaseous atomic media display many striking features under electromagnetically induced transparency (EIT). Study of theoretical model, which describes these features of optical solitons, has important meaning in optical informational process and propagation. Two-dimensional saturated nonlinear Schrdinger equation, which describes the spatial soliton evolution in the three-level gaseous atomic EIT media, is transformed into the Hamilton system with the symplectic structure. The Hamilton system is discretizated by the symplectic method. The corresponding symplectic scheme is obtained. Evolution behaviors of two and four spatial solitons with the same amplitude in a three-level, gaseous atomic EIT media are simulated by the symplectic scheme. Numerical results further show that the phase difference and the direction of the entering gauss beams have an obvious effect on the interaction of multi-solitons. The entering Gauss beam can form the stable optical solitons in a gaseous atomic media.

Acta Physica SinicaJan 1, 20121 citation

Optical Solitons in Media with Resonant and Non-resonant Self-focusing Nonlinearities

Evgeny V. Doktorov, R. A. Vlasov

Special features of generating a self-induced transparency in a medium with both resonant and non-resonant (Kerr-type) nonlinearities are considered. Soliton solutions of the Maxwell-Bloch equations are found, taking into account the diffraction divergence of the light beam. It is shown that solitons emerge in such a medium under conditions of two-dimensional optical beam scanning along the medium surface, and have non-coinciding propagating directions of the amplitude and phase fronts. As a necessary condition for the existence of solitons, there is a definite relationship between the scanning velocity and the parameters of the medium and radiation.Special features of generating a self-induced transparency in a medium with both resonant and non-resonant (Kerr-type) nonlinearities are considered. Soliton solutions of the Maxwell-Bloch equations are found, taking into account the diffraction divergence of the light beam. It is shown that solitons emerge in such a medium under conditions of two-dimensional optical beam scanning along the medium surface, and have non-coinciding propagating directions of the amplitude and phase fronts. As a necessary condition for the existence of solitons, there is a definite relationship between the scanning velocity and the parameters of the medium and radiation.

Optica Acta International Journal of OpticsFeb 1, 198372 citations

Optical solitons in periodic media with resonant and off-resonant nonlinearities

Gershon Kurizki, Alexander E. Kozhekin, Tomáš Opatrný +1 more

arXiv:nlin/0007007Progress in opticsJan 1, 200157 citations

Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length

Sadhan K. Adhikari

Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation we show that a bright soliton can be stabilized in a trapless three-dimensional attractive Bose-Einstein condensate (BEC) by a rapid periodic temporal modulation of scattering length alone by using a Feshbach resonance. This scheme also stabilizes a rotating vortex soliton in two dimensions. Apart from possible experimental application in BEC, the present study suggests that the spatiotemporal solitons of nonlinear optics in three dimensions can also be stabilized in a layered Kerr medium with sign-changing nonlinearity along the propagation direction.Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation we show that a bright soliton can be stabilized in a trapless three-dimensional attractive Bose-Einstein condensate (BEC) by a rapid periodic temporal modulation of scattering length alone by using a Feshbach resonance. This scheme also stabilizes a rotating vortex soliton in two dimensions. Apart from possible experimental application in BEC, the present study suggests that the spatiotemporal solitons of nonlinear optics in three dimensions can also be stabilized in a layered Kerr medium with sign-changing nonlinearity along the propagation direction.

arXiv:cond-mat/0406530Physical Review AJun 22, 2004115 citations

Propagation of a three-dimensional optical soliton in a resonant gaseous medium

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