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Nonlinear Fano resonance and bistable wave transmission
Andrey E Miroshnichenko1, Sergei F Mingaleev, Sergej Flach
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.
Summary
We introduce a nonlinear model of particle chains with defects, revealing amplitude-dependent bistable resonant transmission and reflection. These findings represent a nonlinear Fano resonance, studied for both continuous waves and pulses.
Area of Science:
- Nonlinear physics
- Condensed matter physics
- Wave phenomena
Background:
- The Fano-Anderson model describes resonant phenomena in quantum systems.
- Nonlinear effects in discrete particle chains are crucial for understanding complex wave interactions.
Purpose of the Study:
- To introduce and analyze a discrete model of a particle chain with a single-site defect and Kerr nonlinearity.
- To investigate the generation of amplitude-dependent bistable resonant transmission and reflection.
- To identify and study the properties of nonlinear Fano resonance for continuous waves and pulses.
Main Methods:
- Development of a discrete model for a linear chain of particles coupled to a nonlinear defect.
- Mathematical analysis of the model to identify nonlinear Fano resonance.
- Simulation and study of wave propagation (continuous waves and pulses) through the model.
Main Results:
- The model serves as a nonlinear generalization of the Fano-Anderson model.
- Demonstration of amplitude-dependent bistable resonant transmission and reflection.
- Characterization of the nonlinear Fano resonance properties.
Conclusions:
- The proposed model effectively captures nonlinear Fano resonance.
- Bistable resonant phenomena are controllable via wave amplitude.
- The study provides insights into nonlinear wave dynamics in discrete systems.