Bound states in the continuum and high-Q resonances supported by a dielectric ridge on a slab waveguide
We investigate the diffraction of the guided modes of a dielectric slab waveguide on a simple integrated structure consisting of a single dielectric ridge on the surface of the waveguide. Numerical simulations based on aperiodic rigorous coupled-wave analysis demonstrate the existence of sharp resonant features and bound states in the continuum (BICs) in the reflectance and transmittance spectra occurring at the oblique incidence of a transverse-electric (TE)-polarized guided mode on the ridge. Using the effective index method, we explain the resonances by the excitation of cross-polarized modes of the ridge. Formation of the BICs are confirmed using a theoretical model based on coupled-wave theory. The model suggests that the BICs occur due to the coupling of quasi-TE and quasi-transverse-magnetic modes of the structure. Simple analytical expressions for the angle of incidence and the ridge width predicting the location of the BICs are obtained. The existence of high-Q resonances and BICs enables using the considered integrated structure for sensing, transformation of optical signals, and enhancing nonlinear light–matter interactions. Due to the Lorentzian line shape of the resonances near the BICs, the structure is also promising for filtering applications.
基金项目：Russian Foundation for Basic Research (RFBR)10.13039/501100002261 (16-29-11683, 17-47-630323); Ministry of Science and Higher Education of the Russian Federation (State assignment to the FSRC “Crystallography and Photonics” RAS).
Dmitry A. Bykov：Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of the Russian Academy of Sciences, 151 Molodogvardeyskaya St., Samara 443001, RussiaSamara National Research University, 34 Moskovskoe Shosse, Samara 443086, Russia
Leonid L. Doskolovich：Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of the Russian Academy of Sciences, 151 Molodogvardeyskaya St., Samara 443001, RussiaSamara National Research University, 34 Moskovskoe Shosse, Samara 443086, Russia
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Evgeni A. Bezus, Dmitry A. Bykov, and Leonid L. Doskolovich, "Bound states in the continuum and high-Q resonances supported by a dielectric ridge on a slab waveguide," Photonics Research 6(11), 1084-1093 (2018)