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Abstract: Nowadays nanotechnology allows to scale-down various important devicessensors, chips, fibres, etc, and, thus, opens up new horizon for theirapplications. Nevertheless, the efficiency most of them is still based on thefundamental physical phenomena, such as resonances. Thus, the understanding ofthe resonance phenomena will be beneficial. One of the well-known examples isthe resonant enhancement of the transmission known as Breit-Wigner resonances,which can be described by a Lorentzian function. But, in many physical systemsthe scattering of waves involves propagation along different paths, and, as aconsequence, results in interference phenomena, where constructive interferencecorresponds to resonant enhancement and destructive interference to resonantsuppression of the transmission. Recently, a variety of experimental andtheoretical work has revealed such patterns in different branches of physics.The purpose of this Review is to demonstrate that this kind of resonantscattering is related to the Fano resonances, known from atomic physics. One ofthe main features of the Fano resonances is the asymmetric profile. Theasymmetry comes from the close coexistence of resonant transmission andresonant reflection. Fano successfully explained such a phenomenon in hisseminal paper in 1961 in terms of interaction of a discrete localized statewith a continuum of propagation modes. It allows to describe both resonantenhancement and resonant suppression in a unified manner. All of theseproperties can be demonstrated in the frame of a very simple model, which willbe used throughout the Review to show that resonant reflections observed indifferent complex systems are indeed closely related to the Fano resonances.

Author: Andrey E. Miroshnichenko, Sergej Flach, Yuri S. Kivshar


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