Resonance--Assisted Tunneling in Deformed Optical Microdisks with a Mixed Phase Space
arXiv:1907.06900 · doi:10.1103/PhysRevE.100.042219
Abstract
The life times of optical modes in whispering-gallery cavities crucially depend on the underlying classical ray dynamics and may be spoiled by the presence of classical nonlinear resonances due to resonance--assisted tunneling. Here we present an intuitive semiclassical picture which allows for an accurate prediction of decay rates of optical modes in systems with a mixed phase space. We also extend the perturbative description from near-integrable systems to systems with a mixed phase space and find equally good agreement. Both approaches are based on the approximation of the actual ray dynamics by an integrable Hamiltonian, which enables us to perform a semiclassical quantization of the system and to introduce a ray-based description of the decay of optical modes. The coupling between them is determined either perturbatively or semiclassically in terms of complex paths.
arXiv comment15 pages, 7 figures
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- Decomposed entropy and estimation of output power in deformed microcavity lasers