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Coupled Helmholtz equations: Chirped solitary waves.
Naresh Saha1, Barnana Roy1, Avinash Khare2
1Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India.
Chaos (Woodbury, N.Y.)
|December 9, 2021
Summary
We discovered chirped solitary waves with intensity-dependent phase shifts, leading to chirp reversal in nonlinear optics. Stable propagation is achievable by tuning nonparaxial parameters.
Area of Science:
- Nonlinear Optics
- Soliton Physics
- Wave Propagation
Background:
- Investigating nonlinear phenomena in optical systems is crucial for advanced technologies.
- Solitary waves, particularly gray and anti-dark solitons, exhibit unique properties in nonlinear media.
- Understanding self-steepening and self-frequency shift effects is key to controlling wave dynamics.
Purpose of the Study:
- To explore the existence and stability of chirped gray and anti-dark solitary waves.
- To analyze the impact of self-steepening and self-frequency shift on wave characteristics.
- To investigate the role of nonparaxial parameters in solitary wave propagation.
Main Methods:
- Analysis of a coupled cubic nonlinear Helmholtz equation.
- Mathematical modeling of nonlinear optical phenomena.
- Investigating the influence of non-Kerr nonlinearities and nonparaxial parameters.
Main Results:
- Existence and stability of chirped solitary waves demonstrated.
- Chirp reversal observed due to specific combinations of self-steepening and self-frequency shift.
- Nonparaxial parameter found to tune solitary wave speed and pulse width.
Conclusions:
- Solitary wave propagation can be controlled via nonlinear terms and nonparaxial effects.
- Chirp reversal offers new possibilities for optical signal manipulation.
- Stable propagation of nonparaxial solitary waves is achievable with parameter optimization.
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