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Discrete solitons in inhomogeneous waveguide arrays
T Pertsch1, U Peschel, F Lederer
1Institute for Condensed Matter Theory and Optics, Friedrich-Schiller-Universitat Jena, Max-Wien-Platz 1, 07743 Jena, Germany. pertsch@pinet.uni-jena.de
Chaos (Woodbury, N.Y.)
|June 5, 2003
Summary
Discrete solitons in non-uniform waveguide arrays can oscillate and decay due to periodic modulations. Resonant coupling with linear states forms hybrid discrete solitons in transverse index variations.
Area of Science:
- Nonlinear optics
- Condensed matter physics
- Waveguide optics
Background:
- Discrete solitons are localized nonlinear waves in periodic structures.
- Waveguide arrays with Kerr nonlinearity exhibit complex soliton dynamics.
- Inhomogeneities introduce perturbations to soliton behavior.
Purpose of the Study:
- Investigate discrete soliton dynamics in two configurations of inhomogeneous waveguide arrays.
- Analyze the impact of longitudinal periodic modulation on soliton stability.
- Examine the formation of solitons in arrays with transverse effective index variation.
Main Methods:
- Numerical simulations of discrete soliton propagation.
- Analysis of internal mode resonances.
- Study of resonant coupling with linear states.
Main Results:
- Longitudinal periodic modulation can induce soliton oscillations and decay via internal mode resonances.
- Linear variation of the effective index leads to resonant coupling.
- Formation of hybrid discrete solitons is observed due to this resonant coupling.
Conclusions:
- Inhomogeneities significantly affect discrete soliton dynamics and stability.
- Periodic modulations can destabilize solitons.
- Hybrid discrete solitons emerge in specific inhomogeneous waveguide settings.