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Energy shell structure in a dielectric elliptic microcavity

Title
Energy shell structure in a dielectric elliptic microcavity
Author(s)
Yi, Chang-HwanYu, Hyeon-HyeLee, Ji-WonKim, Ji-HwanKim, Chil-Min
Issued Date
2016-01-06
Citation
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, v.93, no.1
Type
Article
Keywords
ADIABATIC INVARIANTSAnalytic CalculationsBifurcation BehaviorBILLIARDCAVITIESChaos TheoryEIGENFREQUENCIESEigenvalues and EigenfunctionsEinstein-Brillouin-KelleremISSIONEnergy ShellsFINITE DOMAINMicrocavitiesNumerical MethodsPERIODIC ORBIT THEORYPeriodic OrbitsPeriodic StructuresPhase FactorQUANTIZATIONRESONANCESStationary StateWAVE-EQUATIONWave Numbers
ISSN
1539-3755
Abstract
An energy shell structure depending on eccentricity is analyzed in a dielectric elliptic microcavity. Through the analysis, it is explicated that the energy shell structure is governed by classical constant actions of periodic orbits. For clarification, the relation between dominances of the periodic orbits and bifurcation behaviors are obtained and the length spectra based on eigenvalues computed by a numerical method are compared with the exact lengths of the periodic orbits obtained by analytic calculations. By matching effective wave numbers obtained from the periodic orbit lengths to exact wave numbers of stationary states in closed and open cavities, we find deviations provoked from the openness. We show that these deviations are caused by additional phase factors in the Einstein-Brillouin-Keller quantization. © 2016 American Physical Society.
URI
http://hdl.handle.net/20.500.11750/2741
DOI
10.1103/PhysRevE.93.012203
Publisher
American Physical Society
Related Researcher
  • 김칠민 Kim, Chil-Min
  • Research Interests Laser; Nonlinear Dynamics; Quantum Chaos; Microcavity Laser
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Appears in Collections:
Department of Physics and Chemistry Micro Laser Laboratory 1. Journal Articles

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