TELECOMMUNICATIONS AND RADIO ENGINEERING - 2012 Vol. 71,
No 6 		 

 

 

 

DEPHASING OF EIGENMODES OF A CYLINDRICAL QUASI-OPTICAL RESONANT CAVITY WITH A RANDOMLY-INHOMOGENEOUS LATERAL SURFACE


E.M. Ganapolskii, Yu.V. Tarasov, & L.D. Shostenko
A. Usikov Institute of Radio Physics and Electronics,
National Academy of Sciences of Ukraine
12, Academician Proskura St., Kharkiv 61085, Ukraine
Address all correspondence to Yu.V. Tarasov E-mail: yutarasov@ire.kharkov.ua

Abstract
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.
KEY WORDS: cylindrical resonant cavity, randomly-inhomogeneous lateral surface, resonator spectrum, method of separation of variables, dephasing of modes, broadening of resonance lines

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pages 501-516

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