Devil's staircase in three-dimensional coherent waves localized on Lissajous parametric surfaces

Yung-Fu Chen; T. H. Lu; Kuan-Wei Su; Kai-Feng Huang

doi:10.1103/PhysRevLett.96.213902

Devil's staircase in three-dimensional coherent waves localized on Lissajous parametric surfaces

Yung-Fu Chen^*, T. H. Lu, Kuan-Wei Su, Kai-Feng Huang

^*Corresponding author for this work

Department of Electrophysics

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

78 Scopus citations

Abstract

We experimentally demonstrate the significance of the longitudinal- transverse coupling in the mesoscopic regime by using a high-Q laser resonator as an analog experiment. The longitudinal-transverse coupling is found to lead to the three-dimensional (3D) coherent waves that are localized on the parametric surfaces with Lissajous transverse patterns. More strikingly, experimental results reveal that the mode locking of the 3D coherent states forms a nearly complete Devil's staircase with the hierarchical ordering.

Original language	English
Article number	213902
Journal	Physical Review Letters
Volume	96
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevLett.96.213902
State	Published - 12 Jun 2006

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abstract = "We experimentally demonstrate the significance of the longitudinal- transverse coupling in the mesoscopic regime by using a high-Q laser resonator as an analog experiment. The longitudinal-transverse coupling is found to lead to the three-dimensional (3D) coherent waves that are localized on the parametric surfaces with Lissajous transverse patterns. More strikingly, experimental results reveal that the mode locking of the 3D coherent states forms a nearly complete Devil's staircase with the hierarchical ordering.",

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AB - We experimentally demonstrate the significance of the longitudinal- transverse coupling in the mesoscopic regime by using a high-Q laser resonator as an analog experiment. The longitudinal-transverse coupling is found to lead to the three-dimensional (3D) coherent waves that are localized on the parametric surfaces with Lissajous transverse patterns. More strikingly, experimental results reveal that the mode locking of the 3D coherent states forms a nearly complete Devil's staircase with the hierarchical ordering.

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Devil's staircase in three-dimensional coherent waves localized on Lissajous parametric surfaces

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