Model of commensurate harmonic oscillators with SU(2) coupling interactions

Analogous observation in laser transverse modes

Y. C. Lin, Ting-Hua Lu, K. F. Huang, Y. F. Chen

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We theoretically explore the eigenstates of a coupled p:q commensurate harmonic oscillator with SU(2) coupling interactions under the canonical transformation. The spatial patterns of the high-order eigenstates are found to be markedly localized on Lissajous figures from single to multiple periodic orbits. Controlling the pumping size in large-Fresnel-number degenerate cavities, we have experimentally observed the laser transverse modes that display the wave patterns to be analogous to the derived eigenstates.

Original languageEnglish
Article number046217
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume85
Issue number4
DOIs
Publication statusPublished - 2012 Apr 24

Fingerprint

Bowditch curve
Canonical Transformation
Spatial Pattern
Orbit
Harmonic Oscillator
harmonic oscillators
Periodic Orbits
Cavity
eigenvectors
Lasers
Transverse
Observation
Higher Order
Laser
Lissajous figures
Interaction
lasers
interactions
pumping
Model

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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