Fano resonance due to discrete breather in nonlinear Klein–Gordon lattice in metamaterials

Abstract

The richer variety of Klein-Gordon basis is already established for discrete breathers in metamatetrials. Based on this attempt, we show various anomalous Fano resonance behaviors that have been experimentally observed, but cannot be explained by nonlinear Schrodinger model. Certain material parameters of Klein-Gordon lattice in metamaterials are related for the first time with characteristics of Fano resonance, which can be utilized for beam filtering and for high-resolution biological sensing technology. Although relations with coupling and other parameters exist, the most remarkable relation is observed with linear permittivity that could control the wave transmission characteristics in metamaterials for applications in optical engineering.

Graphene Multiple Fano Resonances Based on Asymmetric Hybrid Metamaterial

“…Multiple FRs can be realized by constructing the meta-molecules for near-field coupling between multiple bright and dark meta-atoms [21,22]. Furthermore, the structural symmetry breaking enables the generation of new narrow dark modes as well as multiple FRs, which has been reported in various nanostructures [2,4,11,[23][24][25][26][27][28].…”

Tunable Fano resonances of Lamb modes in a pillared metasurface

“…However, interference phenomena are not specific to quantum systems and several classical systems have been identified to exhibit Fano resonances such as in optics, photonic crystals, plasmonic nanostructures and metamaterials [26][27][28][29] and more recently in phononic struc tures. The fundamental properties of Fano resonances for complex geometries and with complex dynamics have been discussed in recent review papers [26,27,29] and some non linear phenomena, associated with discrete breathers [30] and dark soliton propagation [21], resulting from the solutions of Klein-Gordon equation, have also been reported. Besides, the Fanoresonant structures feature a variety of applications [26,27,29] such as beam filtering, refractive index sensing [31] (in particular in biological applications), sensing of dis placement, temperature or pressure [26], active switching [32,33], demultiplexer [34,35] or novel spectroscopic tools.…”

Electromagnetically induced transparency for a double Fano-profile system

“…These so-called Fano systems (and Fano-like systems) have also been considered in other physical situations. They were discussed, for instance in a context of nano-physics, metamaterials [29], for the description of quantum dots (see, e.g., in Refs. [30][31][32] and quite recently, noninteracting waveguide arrays [33].…”