Propagation of Optical Dark Solitons in Metamaterials

Abstract

This paper studies the interaction between the formation of a single dark soliton and a pair of fundamental-order dark solitons. Based on the nonlinear Schrodinger’s equation combined with the lossless Drude model, the impacts of the nonlinearity, group velocity dispersion, third-order dispersion, and the self-steepening on the propagation of a dark soliton under the normal dispersion are studied using the distributed Fourier method. By selecting the ratio of group velocity dispersion length and the nonlinear length, the conditions for the stable transmission of dark solitons in metamaterials are obtained. On this basis, this paper also studies the interaction of a pair of fundamental-order dark soliton under the different conditions of the same amplitude with the same phase, the same amplitude with different phases, and different amplitudes with the same phase. In this paper, it is shown that the fundamental-order dark soliton pairs exhibit different characteristics of the interaction under the different conditions.