Nonlinear Fano resonance and bistable wave transmission

Andrey E. Miroshnichenko; Sergei F. Mingaleev; Sergej Flach; Yuri S. Kivshar

doi:10.1103/PhysRevE.71.036626

Nonlinear Fano resonance and bistable wave transmission

Andrey E. Miroshnichenko^*, Sergei F. Mingaleev, Sergej Flach, Yuri S. Kivshar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

116 Citations (Scopus)

Abstract

We consider a discrete model that describes a linear chain of particles coupled to a single-site defect with instantaneous Kerr nonlinearity. We show that this model can be regarded as a nonlinear generalization of the familiar Fano-Anderson model and it can generate amplitude-dependent bistable resonant transmission or reflection. We identify these effects as the nonlinear Fano resonance and study its properties for continuous waves and pulses.

Original language	English
Article number	036626
Journal	Physical Review E
Volume	71
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.71.036626
Publication status	Published - Mar 2005

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10.1103/PhysRevE.71.036626

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title = "Nonlinear Fano resonance and bistable wave transmission",

abstract = "We consider a discrete model that describes a linear chain of particles coupled to a single-site defect with instantaneous Kerr nonlinearity. We show that this model can be regarded as a nonlinear generalization of the familiar Fano-Anderson model and it can generate amplitude-dependent bistable resonant transmission or reflection. We identify these effects as the nonlinear Fano resonance and study its properties for continuous waves and pulses.",

author = "Miroshnichenko, {Andrey E.} and Mingaleev, {Sergei F.} and Sergej Flach and Kivshar, {Yuri S.}",

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AU - Miroshnichenko, Andrey E.

AU - Mingaleev, Sergei F.

AU - Flach, Sergej

AU - Kivshar, Yuri S.

PY - 2005/3

Y1 - 2005/3

N2 - We consider a discrete model that describes a linear chain of particles coupled to a single-site defect with instantaneous Kerr nonlinearity. We show that this model can be regarded as a nonlinear generalization of the familiar Fano-Anderson model and it can generate amplitude-dependent bistable resonant transmission or reflection. We identify these effects as the nonlinear Fano resonance and study its properties for continuous waves and pulses.

AB - We consider a discrete model that describes a linear chain of particles coupled to a single-site defect with instantaneous Kerr nonlinearity. We show that this model can be regarded as a nonlinear generalization of the familiar Fano-Anderson model and it can generate amplitude-dependent bistable resonant transmission or reflection. We identify these effects as the nonlinear Fano resonance and study its properties for continuous waves and pulses.

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U2 - 10.1103/PhysRevE.71.036626

DO - 10.1103/PhysRevE.71.036626

M3 - Article

SN - 2470-0045

VL - 71

JO - Physical Review E

JF - Physical Review E

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Nonlinear Fano resonance and bistable wave transmission

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