E.M. Ganapolskii, Yu.V. Tarasov, L.D. Shostenko. Spectral properties of cylindrical quasi-optical cavity resonator with random-inhomogeneous side boundary: correlation between dephasing and dissipation

Natural Sciences / Physics / Condensed Matter Physics

Submitted on: Sep 13, 2012, 10:50:55

Description: A rigorous solution for the spectrum of quasioptical cylindrical cavity resonator with a randomly rough side boundary has been obtained for the first time. To accomplish this task, we have developed a novel method for variables separation in wave equation, which enables one, in principle, to rigorously examine any limiting case --- from negligibly weak to arbitrarily strong disorder. It is shown that the effect of disorder-induced scattering can be properly described in terms of two geometric potentials, specifically, the "amplitude" and the "gradient" potentials, which appear in wave equation in the course of conformal smoothing of the resonator boundaries. The scattering resulting from the gradient potential appears to be dominant, and its impact on the whole spectrum is governed by the unique sharpness parameter $Xi$, the mean tangent of the asperity slope. ***Article was published in Phys. Rev. E 84, 026209 (2011). ©2011 American Physical Society. Web page http://pre.aps.org/abstract/PRE/v84/i2/e026209 ***

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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