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 the amplitude depended bistable resonant transmission or reflection. We identify these effects as the nonlinear Fano resonance, and study its properties for continuous waves and pulses.

arXiv comment9 pages, 14 figure, submitted to Phys. Rev. E

References in corpus (8)

• Tuning of the Fano Effect through a Quantum Dot in an Aharonov-Bohm Interferometer
• Fano Resonances in Electronic Transport through a Single Electron Transistor
• Fano and Kondo resonance in electronic current through nanodevices
• Nonlinear transmission and light localization in photonic crystal waveguides
• Resonance Lineshapes in Quasi-One-Dimensional Scattering
• Spin filters with Fano dots
• Fano resonances with discrete breathers
• Resonant scattering of solitons

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