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Updated: Aug 1, 2025

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

Temporal localized states and square-waves in semiconductor micro-resonators with strong time-delayed feedback.

Elias R Koch¹, Thomas G Seidel¹, Julien Javaloyes²

¹Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany.

Chaos (Woodbury, N.Y.)

|April 25, 2023

Summary

This study explores semiconductor quantum-well micro-cavity dynamics under optical feedback. Researchers found coexisting bright and dark temporal localized states, revealing complex optical behaviors.

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Area of Science:

Optics and Photonics
Semiconductor Physics
Nonlinear Dynamics

Background:

Micro-cavities are crucial for lasers and optical devices.
Understanding nonlinear dynamics in such systems is essential for advanced applications.
Gires-Tournois resonators offer unique optical properties.

Purpose of the Study:

To investigate the complex dynamics of a semiconductor quantum-well micro-cavity.
To analyze the effects of time-delayed optical feedback and detuned optical injection.
To identify and characterize temporal localized states within the system.

Main Methods:

Utilizing a first-principle time-delay model for optical response.
Analyzing multistable dark and bright temporal localized states.
Performing a multiple time scale analysis in the good cavity limit.

Main Results:

Disclosed sets of multistable dark and bright temporal localized states.
Observed coexistence of these states on bistable homogeneous backgrounds.
Identified square-wave patterns with specific periodicity under anti-resonant feedback.

Conclusions:

The time-delay model accurately describes the observed complex dynamics.
The system exhibits rich nonlinear phenomena, including temporal localized states.
Further analysis in the good cavity limit validates the findings with a normal form model.