Parallel Numerical Algorithm for Simulation of Counter Propagation of Two Laser Beams

Čiegis, Raimondas; Laukaitytė, Inga; Trofimov, Vyacheslav A.

doi:10.1007/978-3-642-12110-4_124

Cited by 1 publication

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“…Our approach at creation of nonreflecting boundary conditions concludes in developing of such conditions which allow to create a two-layer conservative finite-difference scheme for nonlinear Schrödinger equations. Let's note that the conservative finite-difference scheme for nonlinear Schrödinger equations which describe various nonlinear optics problems were discussed recently in [5,6] as well. Nevertheless, we use the zero value boundary conditions as well under consideration of the eigenfunction (EF) and eigenvalues (EV) problem that is formulated below.…”

Section: Statement Of Problem For Laser Pulse Propagation In Pcmentioning

confidence: 99%

Parameter Control of Optical Soliton in One‐dimensional Photonic Crystal

Trofimov

Lysak

Matusevich

et al. 2010

Mathematical Modelling and Analysis

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Abstract. The paper deals with finding of soliton solution for Schrödinger equation with periodic linear and nonlinear properties of medium in 1D case. Such structure is named as photonic crystal. To find soliton solution the corresponding problem for finding of eigenfunctions and eigenvalues is formulated. Iterative process is proposed for solution of this problem. Using the technique of continuation on parameter we investigate a dependence of soliton location on its maximum intensity, on ratio between light frequency and frequency of structure, on ratio between dielectric permittivity of alternating linear and nonlinear layers and on position between centre of initial distribution of eigenfunction and center of considered photonic structure area. The results of this paper confirm the features of soliton self-formation investigated early in our papers [37,38,39,40,41,42], in which one considered a propagation of femtosecond laser pulse through nonlinear layered structure.

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Section: Statement Of Problem For Laser Pulse Propagation In Pcmentioning

confidence: 99%