title: Nonlinear Fano-Feshbach resonances.
abstract: We study the wave scattering in an one-dimensional discrete system with two side-coupled defects. Each of the defects exhibits the Fano resonance as a resonant suppression of transmission, i.e., resonant reflection. We demonstrate that the interaction between two Fano resonances may give rise to a birth of a very narrow resonance. This effect may be understood in terms of the overlapping resonances, as suggested by Feshbach [Ann. Phys. 5, 357 (1958)]. We consider two cases, when the defects are coupled either locally or nonlocally to the discrete array. In the latter case, a sharp asymmetric resonance appears with a large quality factor. We demonstrate that by introducing a nonlinearity at side-coupled defects a closed loop in the nonlinear transmission coefficient may appear, which results in bistable response.
authors.affiliation: Nonlinear Physics Centre, Australian National University, Canberra ACT 0200, Australia. aem124@rsphysse.anu.edu.au
authors.forename: Andrey E
authors.initials: AE
authors.lastname: Miroshnichenko