### Abstract

Language | English |
---|---|

Pages | 025203-1 |

Number of pages | 25202 |

Journal | Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 67 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 2003 |

### Fingerprint

### Keywords

- superlattices
- optics
- wave vectors

### Cite this

*Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*67*(2), 025203-1. https://doi.org/10.1103/PhysRevE.67.025203

}

*Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 67, no. 2, pp. 025203-1. https://doi.org/10.1103/PhysRevE.67.025203

**Self-organized superlattice patterns with two slightly differing wave numbers.** / Grosse Westhoff, E.; Herrero, R.; Ackemann, T.; Lange, W.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Self-organized superlattice patterns with two slightly differing wave numbers

AU - Grosse Westhoff, E.

AU - Herrero, R.

AU - Ackemann, T.

AU - Lange, W.

PY - 2003/2

Y1 - 2003/2

N2 - 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.

AB - 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.

KW - superlattices

KW - optics

KW - wave vectors

UR - http://dx.doi.org/10.1103/PhysRevE.67.025203

U2 - 10.1103/PhysRevE.67.025203

DO - 10.1103/PhysRevE.67.025203

M3 - Article

VL - 67

SP - 25203

EP - 25201

JO - Physical Review E

T2 - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 2

ER -