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Updated: May 23, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Vector bright soliton behaviors associated with negative coherent coupling
1State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China. xinglv655@yahoo.com.cn
Summary
Researchers derived a genuine bilinear system for coupled nonlinear Schrödinger equations, revealing elastic and inelastic vector soliton collisions. These findings are valuable for optical switching applications in fiber optics.
Area of Science:
- Nonlinear optics
- Optical fiber communications
- Mathematical physics
Background:
- Coupled nonlinear Schrödinger equations model light propagation in optical fibers.
- Negative coherent coupling introduces unique dynamics.
- Existing models often use trilinear forms, limiting analysis.
Purpose of the Study:
- Derive a genuine bilinear system for coupled nonlinear Schrödinger equations with negative coherent coupling.
- Investigate the properties and interactions of vector solitons.
- Explore potential applications in optical switching.
Main Methods:
- Introduction of an auxiliary function to establish a bilinear system.
- Symbolic computation for deriving vector solitons.
- Asymptotic analysis and graphical simulation for profile and collision analysis.
Main Results:
- A genuine bilinear system was obtained, differing from prior trilinear forms.
- Degenerate and nondegenerate vector solitons were derived with specific phase-parameter constraints.
- Vector solitons exhibited single-hump, double-hump, or flat-top profiles.
- Collisions among degenerate or nondegenerate solitons were elastic.
- Inelastic collisions occurred only in the degenerate-nondegenerate case.
Conclusions:
- The derived bilinear system provides a more accurate model for optical fiber systems with negative coherent coupling.
- Understanding vector soliton collisions is crucial for designing stable optical communication systems.
- The findings offer insights for developing optical switches utilizing self-phase modulation, cross-phase modulation, and negative coherent coupling.
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