# Delayed feedback control of self-mobile cavity solitons in a wide-aperture laser with a saturable absorber

## TL;DR

This paper explores how delayed optical feedback influences the behavior of cavity solitons in a broad-area laser with a saturable absorber, revealing mechanisms for stabilization and mode-locking.

## Contribution

It provides a comprehensive analysis of bifurcation structures and identifies conditions for controlling stationary and moving cavity solitons using delay feedback.

## Key findings

- Delay causes drifting and wiggling of stationary solitons.
- Delay stabilizes intrinsically moving solitons.
- Fast cavity solitons relate to lateral mode-locking regimes.

## Abstract

We investigate the spatiotemporal dynamics of cavity solitons in a broad area vertical-cavity surface-emitting laser with saturable absorption subjected to time-delayed optical feedback. Using a combination of analytical, numerical and path continuation methods we analyze the bifurcation structure of stationary and moving cavity solitons and identify two different types of traveling localized solutions, corresponding to slow and fast motion. We show that the delay impacts both stationary and moving solutions either causing drifting and wiggling dynamics of initially stationary cavity solitons or leading to stabilization of intrinsically moving solutions. Finally, we demonstrate that the fast cavity solitons can be associated with a lateral mode-locking regime in a broad-area laser with a single longitudinal mode.