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Updated: May 11, 2026
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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
Thresholdless discrete surface solitons and stability switchings in periodically curved waveguides
H Jiang1, H Susanto, T M Benson
1School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK.
Optics Letters
|June 1, 2013
Summary
Parametrically driven waveguide arrays allow discrete surface solitons to persist, with critical drives eliminating their threshold power. Stability of these solitons shifts near these thresholdless conditions, influenced by phonon resonance.
Area of Science:
- Nonlinear optics
- Waveguide array physics
- Soliton dynamics
Background:
- Discrete nonlinear Schrödinger equation models phenomena in nonlinear optical systems.
- Periodically curved waveguide arrays exhibit unique light propagation characteristics.
- Surface solitons are localized nonlinear waves at the edge of a waveguide array.
Purpose of the Study:
- To investigate the effect of parametric driving on discrete surface solitons in periodically curved waveguide arrays.
- To identify critical drive parameters that alter soliton threshold power and stability.
- To explore the role of phonon resonance in soliton propagation.
Main Methods:
- Numerical simulations of the parametrically driven discrete nonlinear Schrödinger equation.
- Calculation of Floquet multipliers to analyze soliton stability.
- Analysis of threshold power variations under different parametric drive conditions.
Main Results:
- Discrete surface solitons persist under parametric driving, but their threshold power is modified.
- Critical drive values exist where the threshold power for solitons vanishes.
- Parametric drives can induce resonance with phonons, creating barriers for solitons.
- Soliton stability switches occur near the critical drives for thresholdless solitons.
Conclusions:
- Parametric driving offers a method to control the existence and stability of discrete surface solitons.
- The interplay between parametric drives, phonons, and soliton dynamics is crucial for understanding light localization in engineered structures.
- Thresholdless solitons and stability switching are key phenomena enabled by parametric modulation.
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