Observation of nonlinear localized modes in an electrical lattice
P. MarquiéLaboratoire de Physique de l’Université de Bourgogne, Phénomènes Non Linéaires, URA CNRS 1796, Faculté des Sciences, 6 Boulevard Gabriel, 21000 Dijon, FranceJean‐Marie BilbaultLaboratoire de Physique de l’Université de Bourgogne, Phénomènes Non Linéaires, URA CNRS 1796, Faculté des Sciences, 6 Boulevard Gabriel, 21000 Dijon, FranceM. RemoissenetLaboratoire de Physique de l’Université de Bourgogne, Phénomènes Non Linéaires, URA CNRS 1796, Faculté des Sciences, 6 Boulevard Gabriel, 21000 Dijon, France
1995en
ABI
Abstract
We study a discrete electrical lattice where the dynamics of modulated waves can be modeled by a generalized discrete nonlinear Schr\"odinger equation that interpolates between the Ablowitz-Ladik and discrete-self-trapping equations. Regions of modulational instability (MI) are investigated and experimentally, we observe that MI can develop even for continuous waves with frequencies higher than the linear cutoff frequency of the lattice. These results are confirmed by the observation of ``staggered'' localized modes. Experimentally, it is finally shown that unlike envelope solitons, which can be observed close to the zero-dispersion point, the staggered modes experience strong lattice effects.
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