Aberration stabilized light bullets in normal dispersion injected Kerr resonators
Abstract
We investigate three-dimensional light bullets (LBs) in an optically injected, vertically emitting Kerr-Gires-Tournois interferometer operating in the normal dispersion regime. In the uniform field limit, the dynamics is governed by a generalized Lugiato-Lefever equation with third-order dispersion, paraxial diffraction, and fourth-order diffraction, stemming from lens and mirror aberrations close to the self-imaging condition. Using direct numerical simulations, we show that without aberration only transversely drifting, tilted multi-peak localized states (LSs) are stable in two dimensions, whereas no stable LBs exist in three dimensions. However, a small negative spherical aberration stabilizes a rich multistable family of two-dimensional LSs, including straight and tilted multi-peak LSs, oscillating states, and complex bound states, which persist even for negative paraxial diffraction. We identify an Andronov-Hopf bifurcation followed by a homoclinic transition toward tilted states, accompanied by hysteresis. Finally, we demonstrate that stable straight and tilted LBs exist in three dimensions in the presence of aberration, the latter forming a continuous family parametrized by the transverse tilt direction.
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BibTeX
@misc{fleck2026aberration,
title = {{Aberration stabilized light bullets in normal dispersion injected Kerr resonators}},
author = {Yannick Fleck and Thomas G. Seidel and Jesús Yelo-Sarrión and Julien Javaloyes and Svetlana V. Gurevich},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03459},
eprint = {2611.03459},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03459},
}
RIS
TY - UNPB
TI - Aberration stabilized light bullets in normal dispersion injected Kerr resonators
AU - Yannick Fleck
AU - Thomas G. Seidel
AU - Jesús Yelo-Sarrión
AU - Julien Javaloyes
AU - Svetlana V. Gurevich
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03459
UR - https://arxiv.org/abs/2611.03459
AB - We investigate three-dimensional light bullets (LBs) in an optically injected, vertically emitting Kerr-Gires-Tournois interferometer operating in the normal dispersion regime. In the uniform field limit, the dynamics is governed by a generalized Lugiato-Lefever equation with third-order dispersion, paraxial diffraction, and fourth-order diffraction, stemming from lens and mirror aberrations close to the self-imaging condition. Using direct numerical simulations, we show that without aberration only transversely drifting, tilted multi-peak localized states (LSs) are stable in two dimensions, whereas no stable LBs exist in three dimensions. However, a small negative spherical aberration stabilizes a rich multistable family of two-dimensional LSs, including straight and tilted multi-peak LSs, oscillating states, and complex bound states, which persist even for negative paraxial diffraction. We identify an Andronov-Hopf bifurcation followed by a homoclinic transition toward tilted states, accompanied by hysteresis. Finally, we demonstrate that stable straight and tilted LBs exist in three dimensions in the presence of aberration, the latter forming a continuous family parametrized by the transverse tilt direction.
ER -