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Engineering Fano resonances in discrete arrays.
Andrey E Miroshnichenko1, Yuri S Kivshar
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.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
Summary
We explore wave transmission in coupled waveguide systems, demonstrating how engineered Fano resonances enable perfect reflection or transmission through controlled interference. These findings are tunable via nonlinear defects.
Area of Science:
- * Physics
- * Optics
- * Condensed Matter Physics
Background:
- * Discrete waveguide arrays and coupled defect states are fundamental in photonic crystals and nonlinear lattices.
- * Resonant scattering phenomena are crucial for controlling wave propagation in various optical systems.
- * Fano resonances offer a mechanism for sharp, asymmetric spectral features in wave transmission.
Purpose of the Study:
- * To investigate the transmission properties of a linear waveguide coupled to side defect states.
- * To demonstrate resonant scattering management by engineering Fano resonances.
- * To find exact solutions for the wave transmission coefficient in such systems.
Main Methods:
- * Theoretical analysis of a discrete waveguide system coupled to defect states.
- * Derivation of exact results for the wave transmission coefficient.
- * Engineering of Fano resonances through system parameters and nonlinear defects.
Main Results:
- * Identification of conditions for perfect reflection and transmission via destructive and constructive interference.
- * Association of these conditions with engineered Fano resonances.
- * Demonstration of tunability of Fano resonances using nonlinear defects.
Conclusions:
- * The studied system provides a model for complex optical structures like photonic crystals and nonlinear lattices.
- * Fano resonances are key to managing wave transmission, enabling perfect reflection or transmission.
- * Nonlinear defects offer a method for actively tuning these resonant behaviors.