Dark solitons manipulation using optical event horizon.

Zhixiang Deng,Xinlin Wang,Chujun Zhao,Xianwei Huang,Jun Liu

doi:10.1364/oe.26.016535

Abstract

We demonstrate that the optical event horizon can provide an effective technique to actively control the propagation properties of a dark soliton with another weak probe wave. Careful power adjustment of the probe wave enables the black soliton converted into a gray one with varying grayness through the nonlinear interaction, corresponding to a nearly adiabatic variation of the soliton's speed. The sign of the phase angle for the newly formed gray soliton at optical event horizon is significantly dependent on the frequency of the launched probe wave. Linear-stability analysis of dark solitons under the perturbation of a weak probe wave is performed to clarify the intrinsic mechanism of the nonlinear interaction. The probe wave manipulated collisional dynamics between both dark solitons are investigated as an analogue of the combined white-hole and black-hole horizons which provides some insights into exploring the transition between integrable and non-integrable systems.

Highlights

Light-by-light controlling, as we know, is considered the cornerstone of optical signal processing application such as future optical transistor-like devices [1,2]
The underlying physics was described in the time domain in terms of a soliton-induced refractive index barrier (Kerr effect) that changes the velocity of the probe wave [7,8,9]
We demonstrate that the dynamics of optical dark solitons can be manipulated by a weak probe wave carefully adjusted at the input in terms of peak power and frequency detuning

Summary

Introduction

Light-by-light controlling, as we know, is considered the cornerstone of optical signal processing application such as future optical transistor-like devices [1,2]. Researchers found that the essential mechanism for new frequency generation at optical event horizon can be applied as a potentially effective method for highly coherent supercontinuum generation without soliton fissions and modulation instability [17, 18]. It has been numerically [8, 12, 19] and experimentally [20] shown that a weak DW can be produced and trapped within a solitonic cavity formed by two solitons at optical event horizon. We explore the possibility of manipulating of the nonlinear collision between both dark solitons by the probe waves with varied peak powers

Propagation model

Propagation dynamics of dark solitons manipulated with a probe wave

Linear-stability analysis of dark solitons at optical event horizon

Dark solitons collision induced by dual-probe waves at optical event horizon

Conclusions