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 K-G
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.
Keywords: Fano
Resonance, Discrete Breathers, Klein-Gordon Lattice, Metamaterials.
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The novelty
of this work is to deal with the physics of Fano resonance in case of discrete
breathers in metamaterials in a Klein-Gordon lattice in terms of various
material parameters, which may not be
explained by nonlinear Schrodinger equation (NLSE). Discrete breathers
could affect the energy transport by scattering phonons similar to impurity in
mesoscopic transport system giving rise to open and closed channels. The closed channel is considered to be generated in
the localized regime by the discrete breathers where the interaction with the
THz radiation could be intense and hence this also gives rise to the
opportunity for beam-filtering. In literature, there is almost no work on metamaterials related to the application of Klein-Gordon equation for Fano resonance. Hence, certain material
parameters of K-G lattice in such materials are related for the “first time”
with characteristics of Fano-resonance. So, our main focus is to show how the material
parameters of K-G lattice influence the
performance of metamaterials in terms of bio-sensitivity, spectral selectivity,
etc.
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J. Optical
Soc. of America
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