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Main Authors: Bengel, L., Peng, H., de Rijk, B., Koos, C., Reichel, W.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.22443
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author Bengel, L.
Peng, H.
de Rijk, B.
Koos, C.
Reichel, W.
author_facet Bengel, L.
Peng, H.
de Rijk, B.
Koos, C.
Reichel, W.
contents We investigate a bi-directionally coupled system consisting of a Kerr-nonlinear microresonator and a continuous-wave single-mode semiconductor laser. Inside the resonator, a forward-propagating and a backscattered field interact nonlinearly, while a fraction of the backscattered field is fed back into the laser cavity. We show in this paper that the interaction of the laser with the feedback opens up new ways of stabilizing $1$-solitons. Using numerical bifurcation analysis, we systematically identify existence ranges of time-harmonic 1-soliton states in the anomalous dispersion regime. We demonstrate that, in contrast to the uni-directional configuration, the bi-directional coupling introduces a dynamic self-correcting response of the laser frequency that stabilizes $1$-solitons. These enhanced stability properties of $1$-solitons thus enable robust and self-started frequency-comb generation, consistent with the existing experimental observations.
format Preprint
id arxiv_https___arxiv_org_abs_2604_22443
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Enhanced Soliton Stability in Bi-directionally Coupled Laser-Microresonator Systems
Bengel, L.
Peng, H.
de Rijk, B.
Koos, C.
Reichel, W.
Optics
Analysis of PDEs
We investigate a bi-directionally coupled system consisting of a Kerr-nonlinear microresonator and a continuous-wave single-mode semiconductor laser. Inside the resonator, a forward-propagating and a backscattered field interact nonlinearly, while a fraction of the backscattered field is fed back into the laser cavity. We show in this paper that the interaction of the laser with the feedback opens up new ways of stabilizing $1$-solitons. Using numerical bifurcation analysis, we systematically identify existence ranges of time-harmonic 1-soliton states in the anomalous dispersion regime. We demonstrate that, in contrast to the uni-directional configuration, the bi-directional coupling introduces a dynamic self-correcting response of the laser frequency that stabilizes $1$-solitons. These enhanced stability properties of $1$-solitons thus enable robust and self-started frequency-comb generation, consistent with the existing experimental observations.
title Enhanced Soliton Stability in Bi-directionally Coupled Laser-Microresonator Systems
topic Optics
Analysis of PDEs
url https://arxiv.org/abs/2604.22443