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We perform numerical studies of the effect of sidewall imperfections on theresonant state broadening of the optical microdisk cavities for lasingapplications. We demonstrate that even small edge roughness causes a drasticdegradation of high-Q whispering gallery (WG) mode resonances reducing theirQ-values by many orders of magnitude. At the same time, low-Q WG resonances arerather insensitive to the surface roughness. The results of numericalsimulation obtained using the scattering matrix technique, are analyzed andexplained in terms of wave reflection at a curved dielectric interface combinedwith the examination of Poincare surface of sections in the classical raypicture.Comment: 4 pages, 3 figure

Effects of boundary roughness on a Q factor of whispering-gallery-mode lasing microdisk cavities