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Phys. Rev. E 71, 036626 (2005) [8 pages]

Nonlinear Fano resonance and bistable wave transmission

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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

Received 13 December 2004; published 30 March 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.71.036626
DOI:
10.1103/PhysRevE.71.036626
PACS:
42.25.Bs, 42.65.Pc, 42.65.Hw, 41.85.Ja
 
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