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Bifurcation structure of soliton self-injection locking in microresonators

  • S. Deshmukh
  • T. M. Schneider
  • A. Tikan
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Abstract

Self-injection locking (SIL) of a diode laser to a high quality-factor microresonator has recently become increasingly important in hybrid integrated photonics, providing access to compact sub-Hz linewidth lasers. It was also shown to facilitate the access to dissipative Kerr solitons - the key to a low-noise coherent frequency comb on a photonic chip. However, the existence and stability ranges of SIL soliton states in experimentally controlled parameters are still not fully understood. Here we study the bifurcation structure of solutions in a model of soliton SIL in the weak-backscattering limit. We show that SIL produces soliton-number-dependent existence ranges of multi-soliton solutions in free-laser detuning and feedback phase parameters. We identify exclusive single-soliton existence regions and demonstrate dynamical access to single solitons in this region by direct numerical simulations using prescribed parameter sweeps.

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Cite

BibTeXRIS
BibTeX
@misc{deshmukh2026bifurcation,
  title = {{Bifurcation structure of soliton self-injection locking in microresonators}},
  author = {S. Deshmukh and T. M. Schneider and A. Tikan},
  howpublished = {arXiv},
  year = {2026},
  month = jun,
  doi = {10.48550/arxiv.2606.29921},
  eprint = {2606.29921},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.29921},
}
RIS
TY  - UNPB
TI  - Bifurcation structure of soliton self-injection locking in microresonators
AU  - S. Deshmukh
AU  - T. M. Schneider
AU  - A. Tikan
PY  - 2026
DA  - 2026/06/29
PB  - arXiv
DO  - 10.48550/arxiv.2606.29921
UR  - https://arxiv.org/abs/2606.29921
AB  - Self-injection locking (SIL) of a diode laser to a high quality-factor microresonator has recently become increasingly important in hybrid integrated photonics, providing access to compact sub-Hz linewidth lasers. It was also shown to facilitate the access to dissipative Kerr solitons - the key to a low-noise coherent frequency comb on a photonic chip. However, the existence and stability ranges of SIL soliton states in experimentally controlled parameters are still not fully understood. Here we study the bifurcation structure of solutions in a model of soliton SIL in the weak-backscattering limit. We show that SIL produces soliton-number-dependent existence ranges of multi-soliton solutions in free-laser detuning and feedback phase parameters. We identify exclusive single-soliton existence regions and demonstrate dynamical access to single solitons in this region by direct numerical simulations using prescribed parameter sweeps.
ER  -