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Byelobrov V. O. Extraordinary high-Q resonances in the scattering by a dielectric slab containing a grating of circular cylinders [Електронний ресурс] / V. O. Byelobrov, T. M. Benson // Semiconductor physics, quantum electronics & optoelectronics. - 2014. - Vol. 17, № 1. - С. 100-105. - Режим доступу: http://nbuv.gov.ua/UJRN/MSMW_2014_17_1_20 An infinite dielectric wire grating in free space is known to possess very higher resonances at the frequencies close to the Rayleigh anomalies. Still a practical implementation of such a resonator may require its embedding in a dielectric slab. In this paper, it is shown that this can bring additional improvement of the Q-factors. A dielectric slab with a symmetrically embedded dielectric-wire grating is investigated under the normal incidence of plane waves. Accurate numerical solutions are derived for the E- and H-polarization cases. Associated eigenvalue problems are solved for the realvalued lasing frequencies and the threshold values of material gain.
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