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Telecommunications and Radio Engineering
SJR: 0.203 SNIP: 0.44 CiteScore™: 1

ISSN Druckformat: 0040-2508
ISSN Online: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v71.i6.20
pages 501-516


Ye. M. Ganapolsky
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkov 61085, Ukraine
Yu. V. Tarasov
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkiv 61085, Ukraine
L.D. Shostenko
A. Usikov Institute of RadioPhysics and Electronics,National Academy of Sciences of Ukraine 12, Academician Proskura St., Kharkiv 61085, Ukraine


The spectrum of a quasi-optical cylindrical resonant cavity with a randomly-inhomogeneous lateral surface has been calculated for the first time. To solve the problem, a new method of separation of variables in the wave equation has been developed using operator technique. The influence of random irregularities on the resonator spectrum is described in terms of a single universal gradient parameter Ξ, which characterizes the degree of "sharpness" of the surface inhomogeneities. It is shown that the displacement and broadening of the spectral lines due to the dephasing effect associated with resonator mode scattering by the inhomogeneities is proportional to the dissipative broadening. Numerical experiments have been performed whose results show that the spectrum of the randomly-rough cylindrical resonant cavity calculated with neglect of the dissipation loss is regular independently of the degree of irregularity of its boundaries. At the same time, statistics of the spectrum is essentially different in the case of small and large values of the parameter Ξ.

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