Minisymposium for Young Researchers - Abstract

Kostet, Bilal

Polarization-induced double-collapsed snaking in Kerr resonators

We investigate the formation of vector solitons in weakly birefringent high-Q resonators. The presence of nonlinear polarization mode coupling in weakly birefringent high-Q resonators subject to a coherent optical injection allows stabilizing up to two families of vector dissipative solitons. Depending on dispersion properties of the system, these solitons can be either bright or dark[1,2,3]. A pair of coupled Lugiato?Lefever equations were used to investigate the dynamical properties of interacting laser fields confined in Kerr optical resonators. The normal dispersion regime is considered, and it is shown that two branches of dissipative solitons coexist and exhibit different peak powers and polarization properties. The input-output characteristics can possess either a bistable or a tristable homogeneous response. The coexistence of two branches of localized states is not possible in this dispersion regime without taking into account the polarization degrees of freedom. The stabilization mechanism of these localized states is attributed to a front locking mechanism, contrary to the case of anomalous dispersion where the underlying cause was modulational instability. Their bifurcation diagrams exhibit a heteroclinic snaking type of instability.

References

[1] Etienne Averlant, Mustapha Tlidi, Krassimir Panajotov, and Lionel Weicker, Opt. Lett., 42, 2750-2753, (2017)

[2] B. Kostet, S. S. Gopalakrishnan, E. Averlant, Y. Soupart, K. Panajotov, and M. Tlidi, OSA Continuum, 4, 1564-1570, (2021)

[3] B. Kostet, Y. Soupart, K. Panajotov, and M. Tlidi, Phys. Rev. A, 104, 053530, (2021)