Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

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

E Grosse Westhoff1, R Herrero, T Ackemann

  • 1Institut für Angewandte Physik, Westfälische Wilhelms-Universität Münster, Corrensstrasse 2/4, D-48149 Münster, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Understanding the role of positive body image in chronic low back pain: A path-analytic model.

Body image·2025
Same author

Spontaneously Sliding Multipole Spin Density Waves in Cold Atoms.

Physical review letters·2024
Same author

Nonlinear complexification of periodic orbits in the generalized Landau scenario.

Chaos (Woodbury, N.Y.)·2022
Same author

Non-Hermitian arrangement for stable semiconductor laser arrays.

Optics express·2021
Same author

Misalignments measurement of CPV optical components through image acquisition.

Optics express·2020
Same author

Nonlinear oscillatory mixing in the generalized Landau scenario.

Physical review. E·2018
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Researchers observed spontaneous superlattices in a nonlinear optical system. These patterns, arising from hexagons, form twelve-wave-vector structures, including quasiperiodic and superlattice arrangements.

Area of Science:

  • Nonlinear optics
  • Pattern formation
  • Condensed matter physics

Background:

  • Nonlinear optical systems can exhibit complex pattern formation.
  • Symmetry plays a crucial role in determining the types of patterns that emerge.
  • Previous studies have explored hexagonal patterns in similar systems.

Purpose of the Study:

  • To report the spontaneous observation of superlattices in a nonlinear optical system.
  • To investigate the secondary bifurcation from hexagonal patterns.
  • To characterize the resulting twelve-wave-vector patterns.

Main Methods:

  • Observation of pattern formation in a nonlinear optical system with O(2) symmetry.
  • Analysis of secondary bifurcations from hexagonal patterns.

Related Experiment Videos

  • Characterization of wave vectors in emergent patterns.

    • Main Results:

    • Spontaneous superlattices were observed.
    • A secondary bifurcation from hexagons resulted in patterns with twelve wave vectors.
    • These patterns included irregular, quasiperiodic, and superlattice structures.
    • Wave vectors fit hexagonal or square grids, with specific triad decompositions or squeezed triads.

    Conclusions:

    • The study demonstrates the spontaneous formation of complex superlattices in nonlinear optical systems.
    • The findings highlight the role of O(2) symmetry in generating diverse twelve-wave-vector patterns.
    • The research provides insights into the fundamental mechanisms of pattern formation and symmetry breaking.