dorsal/arxiv
View SchemaLocalized modes and bistable scattering in nonlinear network junctions
| Authors | Andrey E. Miroshnichenko, Mario I. Molina, Yuri S. Kivshar |
|---|---|
| Categories | |
| ArXiv ID | physics/0610202 |
| URL | https://arxiv.org/abs/physics/0610202 |
| DOI | 10.1103/PhysRevE.75.046602 |
Abstract
We study the properties of junctions created by crossing of N identical branches of linear discrete networks. We reveal that for N>2 such a junction creates a topological defect and supports two types of spatially localized modes. We analyze the wave scattering by the junction defect and demonstrate nonzero reflection for any set of parameters. If the junction is nonlinear, it is possible to achieve the maximum transmission for any frequency by tuning the intensity of the scattering wave. In addition, near the maximum transmission the system shows the bistable behaviour.
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"abstract": "We study the properties of junctions created by crossing of N identical\nbranches of linear discrete networks. We reveal that for N\u003e2 such a junction\ncreates a topological defect and supports two types of spatially localized\nmodes. We analyze the wave scattering by the junction defect and demonstrate\nnonzero reflection for any set of parameters. If the junction is nonlinear, it\nis possible to achieve the maximum transmission for any frequency by tuning the\nintensity of the scattering wave. In addition, near the maximum transmission\nthe system shows the bistable behaviour.",
"arxiv_id": "physics/0610202",
"authors": [
"Andrey E. Miroshnichenko",
"Mario I. Molina",
"Yuri S. Kivshar"
],
"categories": [
"physics.optics",
"physics.gen-ph"
],
"doi": "10.1103/PhysRevE.75.046602",
"title": "Localized modes and bistable scattering in nonlinear network junctions",
"url": "https://arxiv.org/abs/physics/0610202"
},
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