On the response of an oscillatory medium to defect generation

H Zhao, R Friedrich, T Ackemann

Research output: Contribution to journalArticle

Abstract

We investigate the response of a system far from equilibrium close to an oscillatory instability to the induction of phase singularities. We base our investigation on a numerical treatment of the complex Ginzburg-Landau equation (CGLE) in two spatial dimensions, which is considered as an order-parameter equation for lasers and other nonlinear optical systems. Defects are randomly generated by a spatially modulated linear growth rate. In the amplitude-turbulent regime, no qualitative change of behaviour can be detected. Phase-turbulent patterns emerging due to the Benjamin-Feir instability are destroyed by the externally injected defects. One observes either states consisting of spiral structures of various sizes which resemble the vortex glass states of the unperturbed system or a travelling wave pattern containing moving topological defects. In parameter space, both states are separated by a well-defined phase boundary which is close to the line separating convectively from absolutely stable travelling waves.

LanguageEnglish
Pages969-973
Number of pages5
JournalApplied Physics B: Lasers and Optics
Volume81
Issue number7
DOIs
Publication statusPublished - Nov 2005

Fingerprint

traveling waves
defects
Landau-Ginzburg equations
emerging
induction
vortices
glass
lasers

Keywords

  • ginzburg-landau equation
  • optical-pattern formation
  • laser hydrodynamics
  • turbulence
  • vortices

Cite this

@article{80564b3c535b4a02aaf795df8ed22de1,
title = "On the response of an oscillatory medium to defect generation",
abstract = "We investigate the response of a system far from equilibrium close to an oscillatory instability to the induction of phase singularities. We base our investigation on a numerical treatment of the complex Ginzburg-Landau equation (CGLE) in two spatial dimensions, which is considered as an order-parameter equation for lasers and other nonlinear optical systems. Defects are randomly generated by a spatially modulated linear growth rate. In the amplitude-turbulent regime, no qualitative change of behaviour can be detected. Phase-turbulent patterns emerging due to the Benjamin-Feir instability are destroyed by the externally injected defects. One observes either states consisting of spiral structures of various sizes which resemble the vortex glass states of the unperturbed system or a travelling wave pattern containing moving topological defects. In parameter space, both states are separated by a well-defined phase boundary which is close to the line separating convectively from absolutely stable travelling waves.",
keywords = "ginzburg-landau equation, optical-pattern formation, laser hydrodynamics, turbulence, vortices",
author = "H Zhao and R Friedrich and T Ackemann",
year = "2005",
month = "11",
doi = "10.1007/s00340-005-2014-z",
language = "English",
volume = "81",
pages = "969--973",
journal = "Applied Physics B: Lasers and Optics",
issn = "0946-2171",
number = "7",

}

On the response of an oscillatory medium to defect generation. / Zhao, H ; Friedrich, R ; Ackemann, T .

In: Applied Physics B: Lasers and Optics, Vol. 81, No. 7, 11.2005, p. 969-973.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On the response of an oscillatory medium to defect generation

AU - Zhao, H

AU - Friedrich, R

AU - Ackemann, T

PY - 2005/11

Y1 - 2005/11

N2 - We investigate the response of a system far from equilibrium close to an oscillatory instability to the induction of phase singularities. We base our investigation on a numerical treatment of the complex Ginzburg-Landau equation (CGLE) in two spatial dimensions, which is considered as an order-parameter equation for lasers and other nonlinear optical systems. Defects are randomly generated by a spatially modulated linear growth rate. In the amplitude-turbulent regime, no qualitative change of behaviour can be detected. Phase-turbulent patterns emerging due to the Benjamin-Feir instability are destroyed by the externally injected defects. One observes either states consisting of spiral structures of various sizes which resemble the vortex glass states of the unperturbed system or a travelling wave pattern containing moving topological defects. In parameter space, both states are separated by a well-defined phase boundary which is close to the line separating convectively from absolutely stable travelling waves.

AB - We investigate the response of a system far from equilibrium close to an oscillatory instability to the induction of phase singularities. We base our investigation on a numerical treatment of the complex Ginzburg-Landau equation (CGLE) in two spatial dimensions, which is considered as an order-parameter equation for lasers and other nonlinear optical systems. Defects are randomly generated by a spatially modulated linear growth rate. In the amplitude-turbulent regime, no qualitative change of behaviour can be detected. Phase-turbulent patterns emerging due to the Benjamin-Feir instability are destroyed by the externally injected defects. One observes either states consisting of spiral structures of various sizes which resemble the vortex glass states of the unperturbed system or a travelling wave pattern containing moving topological defects. In parameter space, both states are separated by a well-defined phase boundary which is close to the line separating convectively from absolutely stable travelling waves.

KW - ginzburg-landau equation

KW - optical-pattern formation

KW - laser hydrodynamics

KW - turbulence

KW - vortices

U2 - 10.1007/s00340-005-2014-z

DO - 10.1007/s00340-005-2014-z

M3 - Article

VL - 81

SP - 969

EP - 973

JO - Applied Physics B: Lasers and Optics

T2 - Applied Physics B: Lasers and Optics

JF - Applied Physics B: Lasers and Optics

SN - 0946-2171

IS - 7

ER -