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Composition Relation between Nonlinear Bloch Waves and Gap Solitons in Periodic Fractional Systems
Liangwei Dong1, Changming Huang2
1Department of Physics, Shaanxi University of Science & Technology, Xi'an 710021, China. dlw_0@163.com.
Materials (Basel, Switzerland)
|July 6, 2018
Summary
Researchers explored nonlinear Bloch waves in fractional optical systems. Fundamental gap solitons can construct these waves, offering insights into localized and delocalized nonlinear modes.
Area of Science:
- Nonlinear optics
- Fractional wave phenomena
- Solid-state physics
Background:
- Fractional-order diffraction is gaining interest in nonlinear optical media.
- Understanding Bloch waves in fractional systems with periodic potentials is crucial.
Purpose of the Study:
- To investigate the existence of linear and nonlinear Bloch waves in fractional periodic systems.
- To explore the construction of nonlinear Bloch waves using fundamental gap solitons.
Main Methods:
- Analysis of linear and nonlinear Bloch waves in fractional systems.
- Bifurcation analysis from linear Bloch modes.
- Construction of nonlinear modes using gap solitons.
Main Results:
- Nonlinear Bloch waves bifurcate from linear modes at band edges in defocusing nonlinear systems.
- Fundamental gap solitons serve as building blocks for nonlinear Bloch waves and truncated-Bloch-wave solitons.
- Localized truncated-Bloch-wave solitons bridging nonlinear Bloch waves and gap solitons were identified.
Conclusions:
- Fundamental gap solitons are versatile unit cells for constructing nonlinear Bloch waves and truncated-Bloch-wave solitons in fractional periodic systems.
- The findings offer insights into the dynamics and relationships between localized and delocalized nonlinear modes in these systems.
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