Recently, a novel class of high-Q optical resonators based on all-dielectric subwavelength nanoparticles with high refractive index has been proposed [M. V. Rybin, et al, arXiv:1706.02099, 2017]. Here we study a complex spectrum of such nanoscale resonators by means of the resonant-state expansion, treating the problem as a nonHermitian eigenproblem. We show that the high-Q features can be described within the mechanism of external coupling of open channels via the continuum. For ceramic resonators with permittivity ε = 40, we demonstrate that the quality factor of a trapped mode with a low azimuthal index could reach the value Q = 104 .
Kirill L. Koshelev, Andrey A. Bogdanov, Zarina F. Sadrieva, Kirill B. Samusev, Mikhail V. Rybin, Mikhail F. Limonov, and Yuri S. Kivshar, "High-Q resonances with low azimuthal indices in all-dielectric high-index nanoparticles," Proc. SPIE 10343, Metamaterials, Metadevices, and Metasystems 2017, 103430F (Presented at SPIE Nanoscience + Engineering: August 06, 2017; Published: 24 August 2017); https://doi.org/10.1117/12.2272375.
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