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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

Disordered lattice solitons.

Nikolaos K Efremidis¹, Kyriakos Hizanidis

¹Department of Applied Mathematics, University of Crete, 71409 Heraklion, Crete, Greece.

Physical Review Letters

|October 15, 2008

Summary

We investigated nonlinear Schrödinger equation properties in disordered waveguide arrays. Soliton families, originating from Anderson modes, exhibit distinct behaviors and can broaden due to resonant interactions.

Area of Science:

Nonlinear optics
Condensed matter physics
Waveguide optics

Background:

Disordered potentials in waveguide arrays can lead to Anderson localization.
Nonlinear Schrödinger equation describes light propagation in such systems.
Solitons are self-trapped light waves that can exist in nonlinear media.

Purpose of the Study:

To investigate the properties of soliton families in a nonlinear Schrödinger equation with a disordered potential.
To understand the classification and behavior of these solitons.
To explore the interactions between solitons and Anderson modes.

Main Methods:

Numerical simulations of the nonlinear Schrödinger equation.
Analysis of soliton properties and their classification.

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Study of resonant interactions between solitons and Anderson modes.

Main Results:

A large number of soliton families were found, with varying quantitative properties but few qualitative classes.
Highly confined solitons exist in individual waveguides.
Soliton families originate from Anderson modes, and resonant interactions can cause soliton broadening.

Conclusions:

The study reveals a rich variety of soliton behaviors in disordered waveguide arrays.
Anderson modes play a crucial role in the formation and dynamics of solitons.
Resonant interactions are a key mechanism influencing soliton profiles.