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Exceptional points by coupling of modes with different angular momenta in deformed microdisks: A perturbative analysis

Title
Exceptional points by coupling of modes with different angular momenta in deformed microdisks: A perturbative analysis
Authors
Kullig, JuliusYi, Chang HwanWiersig, Jan
Issue Date
2018-08
Citation
Physical Review A, 98(2)
Type
Article
Article Type
Article
Keywords
DIELECTRIC MICROCAVITIESOPTICAL MICROCAVITYWAVE CHAOSEMISSIONDEGENERACIESRESONATORSCAVITIESPHYSICSLASER
ISSN
2469-9926
Abstract
Recently, it has been shown numerically and by a semiclassical approach [Phys. Rev. Lett. 120, 093902 (2018)PRLTAO0031-900710.1103/PhysRevLett.120.093902] that second-order exceptional points can appear in the spectrum of weakly deformed microdisk resonators by coupling of optical modes with different angular momentum. Here, we use a perturbation theory for weak boundary deformations to derive an effective non-Hermitian Hamiltonian from which we obtain analytical formulas to describe the formation of second-order exceptional points in such systems. The theory is extended to third-order exceptional points and confirmed by full numerical calculations. © 2018 American Physical Society.
URI
http://hdl.handle.net/20.500.11750/9298
DOI
10.1103/PhysRevA.98.023851
Publisher
American Physical Society
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