Mutual manipulation between a dark soliton and a probe wave for the gray-dark solitonic well

Abstract

We propose an approach to actively control the formation of the dark solitonic well by adjusting the input properties of both the dark solitons and probe waves under the fiber-optical analog of the event horizon. An interesting process of the trapping of a probe wave by the gray solitonic well is demonstrated here, which is accompanied by a transformation between the gray and black solitonic wells. This solitonic well transformation and control process originates from the intrinsic competition between the probe-soliton collision-induced nonlinear phase shift and the internal phase of the dark soliton. The trapping efficiency is sensitive to both the grayness value of the input dark soliton and the frequency of the launched probe wave. The solitonic well investigated as a combination of white- and black-hole horizon can be considered as a qualified candidate for achieving the photonic transistorlike action. The study of a gray-black solitonic well proves the theory basis for further understanding of the light-by-light controlling in a more controllable manner.