Nonlinear Fano resonance and bistable wave transmission

Andrey E. Miroshnichenko, Sergei F. Mingaleev, Sergej Flach, and Yuri S. Kivshar
Phys. Rev. E 71, 036626 – Published 30 March 2005

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.

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  • Received 13 December 2004

DOI:https://doi.org/10.1103/PhysRevE.71.036626

©2005 American Physical Society

Authors & Affiliations

Andrey E. Miroshnichenko1, Sergei F. Mingaleev2,3, Sergej Flach4, and Yuri S. Kivshar1

  • 1Nonlinear Physics Centre and Centre for Ultra-high bandwidth Devices for Optical Systems (CUDOS), Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia
  • 2Department of Physics, University of Central Florida, Orlando, Florida 32816, USA
  • 3Bogolyubov Institute for Theoretical Physics, Kiev 03143, Ukraine
  • 4Max-Planck-Insitut für Physik komplexer Systeme, Nöthnitzerstrasse 38, Dresden 01187, Germany

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Issue

Vol. 71, Iss. 3 — March 2005

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