Controlled merging and annihilation of localized dissipative structures in an AC-driven damped nonlinear Schrödinger system

Jae K Jang, Miro Erkintalo, Kathy Luo, Gian-Luca Oppo, Stéphane Coen, Stuart G Murdoch

Research output: Contribution to journalLetter

16 Citations (Scopus)

Abstract

We report studies of controlled interactions of localized dissipative structures in a system described by the AC-driven damped nonlinear Schrödinger equation (equivalent to the Lugiato-Lefever model). Extensive numerical simulations reveal a variety of interaction scenarios that are governed by the properties of the system driver, notably its gradients. In our experiments, performed with a nonlinear optical bre (Kerr) resonator, the phase prole of the driver is used to induce interactions of the dissipative structures on demand. We observe both merging and annihilation of localized structures, i.e. interactions governed by the dissipative, out of-equilibrium nature of the system. These interactions fundamentally dier from those typically found for conventional conservative solitons.
LanguageEnglish
Article number033034
Number of pages7
JournalNew Journal of Physics
Volume18
Publication statusPublished - 24 Mar 2016

Fingerprint

nonlinear systems
alternating current
interactions
nonlinear equations
solitary waves
resonators
gradients
simulation

Keywords

  • controlled interactions
  • localized dissipative structures
  • nonlinear resonator
  • soliton interaction

Cite this

@article{810dfbe74e384978a34e093cd0deee98,
title = "Controlled merging and annihilation of localized dissipative structures in an AC-driven damped nonlinear Schr{\"o}dinger system",
abstract = "We report studies of controlled interactions of localized dissipative structures in a system described by the AC-driven damped nonlinear Schr{\"o}dinger equation (equivalent to the Lugiato-Lefever model). Extensive numerical simulations reveal a variety of interaction scenarios that are governed by the properties of the system driver, notably its gradients. In our experiments, performed with a nonlinear optical bre (Kerr) resonator, the phase prole of the driver is used to induce interactions of the dissipative structures on demand. We observe both merging and annihilation of localized structures, i.e. interactions governed by the dissipative, out of-equilibrium nature of the system. These interactions fundamentally dier from those typically found for conventional conservative solitons.",
keywords = "controlled interactions, localized dissipative structures, nonlinear resonator, soliton interaction",
author = "Jang, {Jae K} and Miro Erkintalo and Kathy Luo and Gian-Luca Oppo and St{\'e}phane Coen and Murdoch, {Stuart G}",
year = "2016",
month = "3",
day = "24",
language = "English",
volume = "18",
journal = "New Journal of Physics",
issn = "1367-2630",

}

Controlled merging and annihilation of localized dissipative structures in an AC-driven damped nonlinear Schrödinger system. / Jang, Jae K; Erkintalo, Miro; Luo, Kathy; Oppo, Gian-Luca; Coen, Stéphane; Murdoch, Stuart G.

In: New Journal of Physics, Vol. 18, 033034, 24.03.2016.

Research output: Contribution to journalLetter

TY - JOUR

T1 - Controlled merging and annihilation of localized dissipative structures in an AC-driven damped nonlinear Schrödinger system

AU - Jang, Jae K

AU - Erkintalo, Miro

AU - Luo, Kathy

AU - Oppo, Gian-Luca

AU - Coen, Stéphane

AU - Murdoch, Stuart G

PY - 2016/3/24

Y1 - 2016/3/24

N2 - We report studies of controlled interactions of localized dissipative structures in a system described by the AC-driven damped nonlinear Schrödinger equation (equivalent to the Lugiato-Lefever model). Extensive numerical simulations reveal a variety of interaction scenarios that are governed by the properties of the system driver, notably its gradients. In our experiments, performed with a nonlinear optical bre (Kerr) resonator, the phase prole of the driver is used to induce interactions of the dissipative structures on demand. We observe both merging and annihilation of localized structures, i.e. interactions governed by the dissipative, out of-equilibrium nature of the system. These interactions fundamentally dier from those typically found for conventional conservative solitons.

AB - We report studies of controlled interactions of localized dissipative structures in a system described by the AC-driven damped nonlinear Schrödinger equation (equivalent to the Lugiato-Lefever model). Extensive numerical simulations reveal a variety of interaction scenarios that are governed by the properties of the system driver, notably its gradients. In our experiments, performed with a nonlinear optical bre (Kerr) resonator, the phase prole of the driver is used to induce interactions of the dissipative structures on demand. We observe both merging and annihilation of localized structures, i.e. interactions governed by the dissipative, out of-equilibrium nature of the system. These interactions fundamentally dier from those typically found for conventional conservative solitons.

KW - controlled interactions

KW - localized dissipative structures

KW - nonlinear resonator

KW - soliton interaction

UR - http://iopscience.iop.org/article/10.1088/1367-2630/18/3/033034

M3 - Letter

VL - 18

JO - New Journal of Physics

T2 - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 033034

ER -