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Recently, it has been shown numerically and by a semiclassical approach [Phys. Rev. Lett. 120, 093902 (2018)] that second-order exceptional points can appear in the spectrum of weakly deformed microdisk… Click to show full abstract
Recently, it has been shown numerically and by a semiclassical approach [Phys. Rev. Lett. 120, 093902 (2018)] 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.
Journal Title: Physical Review A
Year Published: 2018
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