We consider coupled weakly birefringent cavities filled-in with nonlinear Kerr material and subject to linearly polarized optical injection. Light propagation in such a system is described by a system of discrete Lugiato–Lefever-type equations for each linear polarization component of the electric field into each cavity, coupled by the cross-phase modulation terms and the neighboring waveguides field overlap integrals. We demonstrate that this system supports stable three-dimensional vector localized structures often called discrete vector light bullets. We consider both anomalous and normal dispersion and show that it results in the generation of, respectively, bright and dark discrete vector light bullets. Due to the polarization multistability of the system, we demonstrated coexisting light bullets with polarization at the light bullets peaks as different as predominantly linear to predominantly circular. We have shown that chaotic spatio-temporal dynamics can be realized even for such an injection strengths for which the light bullets distribution in the system is stationary by increasing the coupling strength C between the cavities.
Bibliographical noteFunding Information:
This work was supported in part by the Fonds Wetenschappelijk Onderzoek-Vlaanderen FWO ( G0E5819N ), Methusalem Foundation and the Fonds De La Recherche Scientifique—FNRS ( CDR 35333527 ) in Belgium; the National Natural Science Foundation of China (No. 61705 140 ) and the China Postdoctoral Science Foundation (No. 2018M643 165 ). M.T. is a Research Director at the Fonds National de la Recherche Scientifique (Belgium).
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