Gradient Induced Motion Control of Drifting Solitary Structures in a Nonlinear Optical Single Feedback Experiment

Abstract

We realize an absolute position control of drifting dissipative optical solitons by injecting an incoherent amplitude parameter gradient onto the nonlinear optical system. This allows for two-dimensional, arbitrary control patterns. The control of the soliton drift velocity is studied applying a periodic, hexagonally shaped modulation. The guiding of dissipative solitons by one- and two-dimensional parameter modulations is demonstrated. Furthermore, one-dimensional, line-shaped parameter modulations are designed to act as barriers for dissipative solitons, allowing implementations of position selectors for solitons. The interaction of dissipative optical solitons with barriers is studied for different barrier parameters.

Chapter 6 Fundamentals and Applications of Spatial Dissipative Solitons in Photonic Devices

“…Quantitative investigations on SDS drift were recently performed in a LCLV (Gütlich et al (2007); Cleff et al (2008)). It was confirmed that the speed of the SDS is proportional to the strength of the imposed phase gradient as expected from Eq.…”

“…(4), at least on "average". The erratic deviations from the expected ideal behavior in speed and direction of drift are due to background gradients related to imperfections of the device (Gütlich et al (2007);Cleff et al (2008)). A modulation in SDS speed can be induced by superimposing a modulation onto a gradient.…”

Exact solutions and excitations for the Davey-Stewartson equations with nonlinear and gain terms

“…In the study of the nonlinear optical systems, Ref. [32] exhibited the experimental control of drifting solitary structures and their motions by using an incoherent external amplitude control in a unique way. And the drifting solitons can be explained in this paper by the shape changes of the soliton solutions with time, such as dromion excitation (Fig.…”

Localized States in Bi‐Pattern Systems

“…The interplay of localized states with a structured background is particularly interesting in nonlinear optics, where it opens interesting technical issues on the control of localized structures, with the possibility of driving their dynamics and tailoring their interactions [25][26][27][28]. Here, we present a general description of bi-pattern systems, by which we mean systems that exhibit coexistence between two distinct pattern states and are, therefore, able to generate localized peaks.…”