Fractal frequency spectrum in laser resonators and three-dimensional geometric topology of optical coherent waves

J. C. Tung, P. H. Tuan, H. C. Liang, Kai-Feng Huang, Yung-Fu Chen

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We theoretically verify that the symmetry breaking in spherical resonators can result in a fractal frequency spectrum that is full of numerous new accidental degeneracies to cluster around the unperturbed degenerate cavity. We further experimentally discover that the fractal frequency spectrum excellently reflects the intimate connection between the emission power and the degenerate mode numbers. It is observed that the wave distributions of lasing modes at the accidental degeneracies are strongly concentrated on three-dimensional (3D) geometric topology. Considering the overlapping effect, the wave representation of the coherent states is analytically derived to manifest the observed 3D geometric surfaces.

Original languageEnglish
Article number023811
Number of pages6
JournalPhysical Review A
Volume94
Issue number2
DOIs
StatePublished - 3 Aug 2016

Keywords

  • HERMITE-GAUSSIAN MODES
  • SINGLE QUANTUM-DOT
  • CONDUCTANCE FLUCTUATIONS
  • EMISSION
  • PATTERNS
  • LONG

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