Abstract
The work is dedicated to the mathematical modeling of the combined fiber-optic structure, which consists of a Fabry-Perot interferometer in the form of a thin polymer film at the end of an optical fiber and a fiber Bragg grating formed near it. The simulation results obtained using the proposed rigorous mathematical model are in good agreement with the reflectance spectrum of the experimental fiber-optic structure. It is shown that the combination of two resonant wave processes in the optical fiber leads to the asymmetric Fano-type resonance. The spectral shape of the resonance depends on the parameters of the structure, in particular, on the permittivity and the permeability of the constituting media, the thickness of the Fabry-Perot resonator, the length of the fiber Bragg grating, its induced refractive index and the period, as well as on temperature and humidity. The prospects of using the asymmetric resonance effect of the combined structure in sensing applications are discussed.
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