RESONANT EXCITATION OF A 2D PERIODIC SCREEN PERFORATED BY CIRCULAR BELOW-CUTOFF HOLES
À.Î. Perov, À.À. Êirilenko, & S.L. Senkevich
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 A.O. Perov E-mail: perov@ire.kharkov.ua
Abstract
Features of plane wave scattering by two-dimensional periodic perforated screen with a few sub-wavelength holes over the period are analyzed. It is shown that in contrast to single-element screens (with one hole over the period) such screens show dual properties. Specifically, operating in the single-wave regime they can support both the total transmission and/or total reflection resonances. The resonance behavior like this is explained within the spectral theory. It is shown that the spectrum structure of the complex-valued frequencies of the multi-element screen being considered as an open resonator is already built into the spectrum of a simple single-element screen if a model with macroperiod accommodating several identical cells is considered. Lower-order eigen oscillations of multi-element screens which appear due to various kinds of defects in the cell geometry are analyzed. A simple approximation model describing the dependence of the resonance response as a function of the eigenfrequency spectrum of lower-order modes is used to analyze possible types of the scattering characteristics within the single-wave range.
KEY WORDS: partial domain method, two-dimensional periodic structures, resonance scattering, free oscillations, below-cutoff holes
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