Model of commensurate harmonic oscillators with SU(2) coupling interactions: Analogous observation in laser transverse modes

Y. C. Lin; T. H. Lu; K. F. Huang; Y. F. Chen

doi:10.1103/PhysRevE.85.046217

Model of commensurate harmonic oscillators with SU(2) coupling interactions: Analogous observation in laser transverse modes

Y. C. Lin, T. H. Lu, K. F. Huang, Y. F. Chen

Department of Physics

Research output: Contribution to journal › Article › peer-review

5 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 language	English
Article number	046217
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	85
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.85.046217
Publication status	Published - 2012 Apr 24

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Access to Document

10.1103/PhysRevE.85.046217

Fingerprint Dive into the research topics of 'Model of commensurate harmonic oscillators with SU(2) coupling interactions: Analogous observation in laser transverse modes'. Together they form a unique fingerprint.

Cite this

@article{c3b7795862fb4bc0ba3f0bad10307f6f,

title = "Model of commensurate harmonic oscillators with SU(2) coupling interactions: Analogous observation in laser transverse modes",

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.",

author = "Lin, {Y. C.} and Lu, {T. H.} and Huang, {K. F.} and Chen, {Y. F.}",

year = "2012",

month = apr,

day = "24",

doi = "10.1103/PhysRevE.85.046217",

language = "English",

volume = "85",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Model of commensurate harmonic oscillators with SU(2) coupling interactions

T2 - Analogous observation in laser transverse modes

AU - Lin, Y. C.

AU - Lu, T. H.

AU - Huang, K. F.

AU - Chen, Y. F.

PY - 2012/4/24

Y1 - 2012/4/24

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84860678849&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860678849&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.85.046217

DO - 10.1103/PhysRevE.85.046217

M3 - Article

AN - SCOPUS:84860678849

VL - 85

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

M1 - 046217

ER -