Showing papers by "Vladimir Kruglov published in 2005"
TL;DR: A broad class of exact self-similar solutions to the nonlinear Schrödinger equation (NLSE) with distributed dispersion, nonlinearity, and gain or loss has been found describing both periodic and solitary waves.
Abstract: A broad class of exact self-similar solutions to the nonlinear Schrodinger equation (NLSE) with distributed dispersion, nonlinearity, and gain or loss has been found describing both periodic and solitary waves. Appropriate solitary wave solutions applying to propagation in optical fibers and optical fiber amplifiers with these distributed parameters have also been studied in detail. These solutions exist for physically realistic dispersion and nonlinearity profiles. They correspond either to compressing or spreading solitary pulses which maintain a linear chirp or to chirped oscillatory solutions. The stability of these solutions has been confirmed by numerical simulations of the NLSE with perturbed initial conditions. These self-similar propagation regimes are expected to find practical application in both optical fiber amplifier systems and in fiber compressors.
154 citations
TL;DR: In this article, the authors quantize a semiclassical system defined by the Hamiltonian obtained from the asymptotic self-similar solution of the Gross-Pitaevskii equation for a trapped Bose-Einstein condensate with a linear gain term.
Abstract: We quantize a semiclassical system defined by the Hamiltonian obtained from the asymptotic self-similar solution of the Gross-Pitaevskii equation for a trapped Bose-Einstein condensate with a linear gain term. On the basis of a Schrodinger equation derived in a space of ellipsoidal parameters, we analytically calculate the quantum mechanical and thermal variance in the ellipsoidal parameters for Bose-Einstein condensates in various shapes of trap. We show that, except for temperatures close to zero, dimensionless dispersions do not depend on the frequencies of the trap and they have the same dependence on dimensionless temperatures.
17 citations
06 Sep 2005
TL;DR: In this article, a self-similar propagation of linearly chirped hyperbolic secant pulses in a decreasing dispersion fiber amplifier has been observed experimentally, taking advantage of an exact solution of the generalized nonlinear Schrodinger equation with distributed coefficients.
Abstract: Self-similar propagation of linearly chirped hyperbolic secant pulses in a decreasing dispersion fiber amplifier has been observed experimentally. The scheme takes advantage of an exact solution of the generalized nonlinear Schrodinger equation with distributed coefficients.
4 citations
05 Dec 2005
TL;DR: In this paper, the authors report the generation of a 800 fs linearly chirped pulse using an improved self-similar compression technique in a decreasing dispersion fiber amplifier, which is to their knowledge the shortest pulse generated with that technique so far.
Abstract: We report the generation of a 800 fs linearly chirped pulse using an improved self-similar compression technique in a decreasing dispersion fiber amplifier. It is to our knowledge the shortest pulse generated with that technique so far
05 Dec 2005
TL;DR: In this article, an asymptotically exact parabolic pulse solution of the nonlinear Schrodinger equation with gain for a normal-dispersion fiber amplifier with arbitrary varying dispersion, nonlinearity, and gain profiles is presented.
Abstract: We present an asymptotically exact parabolic pulse solution of the nonlinear Schrodinger equation with gain for a normal-dispersion fiber amplifier with arbitrary varying dispersion, nonlinearity, and gain profiles