Self-organized superlattice patterns with two slightly differing wave numbers

E. Grosse Westhoff, R. Herrero, T. Ackemann, W. Lange

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We report on the observation of superlattices that occur spontaneously in a nonlinear optical system with O(2) symmetry. A secondary bifurcation from hexagons yields patterns formed by twelve wave vectors. Besides irregular patterns these may either be quasiperiodic patterns or superlattices built from two classes of wave vectors differing slightly in their length. Both classes of wave vectors stem from only one pattern-forming instability. The wave vectors fit on a hexagonal or a square grid. In the former case the set of wave vectors can be decomposed into two hexagonal triads, whereas in the case of the square grid squeezed triads occur.
LanguageEnglish
Pages025203-1
Number of pages25202
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume67
Issue number2
DOIs
Publication statusPublished - Feb 2003

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Superlattices
Hexagon
superlattices
grids
Grid
hexagons
stems
Optical System
Irregular
Bifurcation
Nonlinear Systems
Symmetry
symmetry

Keywords

  • superlattices
  • optics
  • wave vectors

Cite this

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abstract = "We report on the observation of superlattices that occur spontaneously in a nonlinear optical system with O(2) symmetry. A secondary bifurcation from hexagons yields patterns formed by twelve wave vectors. Besides irregular patterns these may either be quasiperiodic patterns or superlattices built from two classes of wave vectors differing slightly in their length. Both classes of wave vectors stem from only one pattern-forming instability. The wave vectors fit on a hexagonal or a square grid. In the former case the set of wave vectors can be decomposed into two hexagonal triads, whereas in the case of the square grid squeezed triads occur.",
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Self-organized superlattice patterns with two slightly differing wave numbers. / Grosse Westhoff, E.; Herrero, R.; Ackemann, T.; Lange, W.

In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , Vol. 67, No. 2, 02.2003, p. 025203-1.

Research output: Contribution to journalArticle

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