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Composite band-gap solitons in nonlinear optically induced lattices
Anton S Desyatnikov1, Elena A Ostrovskaya, Yuri S Kivshar
1Nonlinear Photonics Group, Institute of Applied Physics, Westfälische Wilhelms-Universität Münster, D-48149 Münster, Germany.
Physical Review Letters
|November 13, 2003
Summary
We report new optical solitons with periodic and localized parts, coupled nonlinearly. These band-gap composite solitons, acting as gap solitons, are dynamically stable.
Area of Science:
- Nonlinear optics
- Soliton physics
- Wave propagation
Background:
- Optical solitons are fundamental in nonlinear optics.
- Understanding complex soliton structures is crucial for optical technologies.
- Cross-phase modulation (XPM) is a key nonlinear interaction.
Purpose of the Study:
- To introduce and characterize novel optical solitons.
- To investigate the behavior of composite solitons with periodic and localized components.
- To analyze the stability of these band-gap composite solitons.
Main Methods:
- Theoretical modeling of nonlinear coupled wave equations.
- Numerical simulations to observe soliton formation and dynamics.
- Analysis of the role of cross-phase modulation in soliton coupling.
Main Results:
- Demonstration of novel band-gap composite optical solitons.
- Identification of different types of these composite solitons.
- Confirmation of the dynamical stability of the observed solitons.
Conclusions:
- The proposed model successfully generates stable, complex optical soliton structures.
- These solitons, featuring both periodic and localized elements, offer new possibilities in nonlinear optics.
- The findings contribute to the fundamental understanding of light-matter interactions in nonlinear media.