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Raman solitons with group velocity dispersion
1Centre for Photonics and Photonic Materials, Department of Physics, University of Bath, Bath BA2 7AY, United Kingdom.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 13, 2006
Summary
We found localized solitons in Raman-active media due to the interplay between Raman coherence and dispersion, creating a complete band gap. These solitons can potentially be observed in hollow fibers.
Area of Science:
- Nonlinear Optics
- Condensed Matter Physics
Background:
- Raman scattering is a key phenomenon in nonlinear optics.
- Group velocity mismatch and dispersion significantly affect wave propagation in optical media.
Purpose of the Study:
- To investigate the formation of band gaps in Raman-active media.
- To explore the existence and properties of localized solitons within these band gaps.
Main Methods:
- Analysis of coupled pump and Stokes wave propagation.
- Application of an approximate analytic technique to study soliton formation.
- Consideration of group velocity walk-off and dispersion effects.
Main Results:
- Identified the formation of a complete band gap due to Raman coherence and dispersion.
- Found exponentially localized solitons within the complete gap.
- Discovered algebraic solitons when the band gap closes.
Conclusions:
- The interplay of Raman coherence and dispersion enables the creation of unique spectral band gaps.
- Localized solitons, both exponential and algebraic, can exist in these engineered band gaps.
- These soliton structures show potential for experimental observation in hollow fiber systems.
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