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- W2963114920 abstract "A nonlinear electromagnetic scattering problem is studied in the presence of bound states in the radiationcontinuum (or resonances with the vanishing width). It is shown that the solution is not analytic in the nonlinearsusceptibility and the conventional perturbation theory fails due to strong evanescent fields that necessarily occurif the scattering system has resonances with the vanishing width. A non-perturbative approach is developed. Itis then applied to the system of two parallel periodic subwavelength arrays of dielectric cylinders with a secondorder nonlinear susceptibility. This scattering system is known to have bound states in the radiation continuum.In particular, it is demonstrated that, for a wide range of values of the nonlinear susceptibility, the structureconverts over 40% of the incident fundamental harmonic flux into the outgoing second harmonic flux when thedistance between the arrays is as low as a half of the incident radiation wavelength. The effect is non-perturbativeand solely attributed to the presence of bound states in the radiation continuum. The example demonstrates thatbounds states in the radiation continuum can be used to substantially enhance and control optically nonlineareffects in nanophotonic devices." @default.
- W2963114920 created "2019-07-30" @default.
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- W2963114920 date "2013-09-11" @default.
- W2963114920 modified "2023-10-18" @default.
- W2963114920 title "The resonant nonlinear scattering theory with bound states in the radiation continuum and the second harmonic generation" @default.
- W2963114920 doi "https://doi.org/10.1117/12.2028277" @default.
- W2963114920 hasPublicationYear "2013" @default.
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