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Related Experiment Video

Updated: May 13, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Solitons supported by localized parametric gain.

Fangwei Ye¹, Changming Huang, Yaroslav V Kartashov

¹Department of Physics, The State Key Laboratory on Fiber Optic Local Area, Communication Networks and Advanced Optical Communication Systems, Shanghai Jiao Tong University, Shanghai 200240, China. fangweiye@sjtu.edu.cn

|March 5, 2013

Summary

This summary is machine-generated.

Localized parametric gain supports stable one-dimensional solitons in nonlinear media. Fundamental solitons are stable in defocusing media, while higher-order solitons remain unstable across both focusing and defocusing scenarios.

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Area of Science:

Nonlinear optics
Soliton physics

Background:

One-dimensional solitons are crucial in nonlinear systems.
Localized parametric gain offers a novel mechanism for soliton stabilization.

Purpose of the Study:

Investigate the existence and stability of solitons with localized parametric gain.
Analyze soliton behavior in both focusing and defocusing nonlinear media.

Main Methods:

Numerical simulations to explore soliton properties.
Analytical methods to determine existence thresholds and stable solutions.

Main Results:

Localized parametric gain supports both fundamental and multipole solitons.
Fundamental solitons exhibit partial stability in focusing and full stability in defocusing media.
All higher-order solitons were found to be unstable.

Conclusions:

Localized parametric gain is a viable mechanism for supporting stable solitons, particularly fundamental ones.
The stability of solitons is dependent on the nonlinearity type (focusing vs. defocusing) and soliton order.