Dark solitons in Fabry-Perot resonators with Kerr media and normal dispersion

Ranges of existence and stability of dark cavity-soliton stationary states in a Fabry-Perot resonator with a Kerr nonlinear medium and normal dispersion are determined. The Fabry-Perot configuration introduces nonlocal coupling that shifts the cavity detuning by the round trip average power of the intracavity field. When compared with ring resonators described by the Lugiato-Lefever equation, nonlocal coupling leads to strongly detuned dark cavity solitons that exist over a wide range of detunings. This shift is a consequence of the counterpropagation of intracavity fields inherent to Fabry-Perot resonators. At difference with ring resonators, the existence and stability of dark soliton solutions are dependent on the size and number of solitons in the cavity. We investigate the effect of nonlocal coupling of Fabry-Perot resonators on multiple dark solitons and demonstrate long range interactions and synchronization of temporal oscillations.