Competition of pattern forming instabilities due to phase front curvature in an optical system

F Huneus, W Lange, T Ackemann

Research output: Contribution to journalArticle

Abstract

In this paper we analyze experimentally and theoretically the competition between two pattern forming instabilities in a single mirror feedback scheme with sodium vapor as the nonlinear medium. Two types of structures with different transverse wave numbers are observed experimentally, if the spatial phase modulation of the light field is varied. This phenomenon results from the combination of a nonlinear self-lensing effect on the one hand and of the externally controlled phase front curvature of the light field on the other. A linear stability analysis yields two instabilities whose length scales match quite well the experimental findings. Further analysis reveals the mechanism of length-scale selection in this system and demonstrates the possibly crucial role of phase front curvature in optical pattern formation.

Original languageEnglish
Pages (from-to)-
Number of pages7
JournalPhysical Review E
Volume73
Issue number1
DOIs
Publication statusPublished - Jan 2006

Fingerprint

Length Scale
Optical System
Curvature
curvature
Phase Modulation
Linear Stability Analysis
Pattern Formation
Sodium
sodium vapor
Mirror
Transverse
transverse waves
phase modulation
mirrors
Demonstrate

Keywords

  • rayleigh-benard convection
  • mirro feedback scheme
  • sodium vapor
  • resonator
  • vortices

Cite this

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abstract = "In this paper we analyze experimentally and theoretically the competition between two pattern forming instabilities in a single mirror feedback scheme with sodium vapor as the nonlinear medium. Two types of structures with different transverse wave numbers are observed experimentally, if the spatial phase modulation of the light field is varied. This phenomenon results from the combination of a nonlinear self-lensing effect on the one hand and of the externally controlled phase front curvature of the light field on the other. A linear stability analysis yields two instabilities whose length scales match quite well the experimental findings. Further analysis reveals the mechanism of length-scale selection in this system and demonstrates the possibly crucial role of phase front curvature in optical pattern formation.",
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Competition of pattern forming instabilities due to phase front curvature in an optical system. / Huneus, F ; Lange, W ; Ackemann, T .

In: Physical Review E, Vol. 73, No. 1, 01.2006, p. -.

Research output: Contribution to journalArticle

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AU - Lange, W

AU - Ackemann, T

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AB - In this paper we analyze experimentally and theoretically the competition between two pattern forming instabilities in a single mirror feedback scheme with sodium vapor as the nonlinear medium. Two types of structures with different transverse wave numbers are observed experimentally, if the spatial phase modulation of the light field is varied. This phenomenon results from the combination of a nonlinear self-lensing effect on the one hand and of the externally controlled phase front curvature of the light field on the other. A linear stability analysis yields two instabilities whose length scales match quite well the experimental findings. Further analysis reveals the mechanism of length-scale selection in this system and demonstrates the possibly crucial role of phase front curvature in optical pattern formation.

KW - rayleigh-benard convection

KW - mirro feedback scheme

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KW - resonator

KW - vortices

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