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 - https://www.scopus.com/pages/publications/84860678849
UR - https://www.scopus.com/pages/publications/84860678849#tab=citedBy
U2 - 10.1103/PhysRevE.85.046217
DO - 10.1103/PhysRevE.85.046217
M3 - Article
AN - SCOPUS:84860678849
SN - 1539-3755
VL - 85
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 4
M1 - 046217
ER -