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Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

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Localized modes and dark solitons sustained by nonlinear defects.

Liangwei Zeng, Vladimir V Konotop, Xiaowei Lu

|April 30, 2021

Summary

This study explores dark solitons and defect modes in nonlinear optical lattices, finding all localized modes to be stable. Dark solitons exhibit unique behavior with side bright humps in certain conditions.

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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

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Published on: December 15, 2021

Area of Science:

Nonlinear optics
Condensed matter physics
Wave propagation

Background:

Nonlinear lattices support various optical phenomena.
Defect modes arise from localized changes in nonlinearity.
Dark solitons are a key feature in nonlinear systems.

Purpose of the Study:

Investigate dark solitons and defect modes in nonlinear waveguide arrays.
Analyze the stability of these localized structures.
Describe interactions between solitons and defect modes.

Main Methods:

Theoretical analysis of nonlinear waveguide arrays.
Numerical simulations of soliton propagation.
Stability analysis of localized modes.

Main Results:

Both bright and dark defect modes are supported by nonlinearity variations.
Dark solitons exist for both defect types, sometimes with energy-increasing bright humps.
All investigated defect modes demonstrate stability.
Dark solitons show narrow stability windows.

Conclusions:

Nonlinear waveguide arrays provide a versatile platform for studying complex soliton dynamics.
Localized defects significantly influence soliton behavior and stability.
The findings contribute to understanding light propagation in engineered nonlinear media.