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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

Gap solitons on a ring.

Yaroslav V Kartashov¹, Boris A Malomed, Victor A Vysloukh

¹ICFO-Institut de Ciencies Fotoniques, Universitat Politecnica de Catalunya, Mediterranean Technology Park, Castelldefels (Barcelona), Spain. Yaroslav.Kartashov@icfo.es

|December 17, 2008

Summary

This summary is machine-generated.

We discovered new gap solitons (GSs) in a unique ring structure. These solitons exhibit novel properties and bound states, with some types proving stable in defocusing media.

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Area of Science:

Nonlinear optics
Mathematical physics

Background:

Gap solitons (GSs) are localized nonlinear waves.
Their properties are typically studied in uniform media.

Purpose of the Study:

Introduce a novel type of GS.
Investigate the impact of azimuthal modulation on GS properties.

Main Methods:

Theoretical analysis of nonlinear wave propagation.
Numerical simulations in defocusing cubic media.

Main Results:

A new species of GS supported by an azimuthally modulated ring is introduced.
Azimuthal periodicity significantly alters GS properties and existence domains.
Fundamental, even, and twisted bound states are identified.
Even bound states are stable, while twisted states are unstable.

Conclusions:

Azimuthal modulation offers a new route to engineer soliton properties.
The stability analysis provides insights into the behavior of these novel solitons.