Temporal Solitons in an Optically Injected Kerr Cavity with Two Spectral Filters

We propose and analyze a theoretical scheme of an injected Kerr cavity, where the chromatic dispersion is induced by propagation of light through two Lorentzian spectral filters with different widths and central frequencies. We show that this setup can be modeled by a second order delay differential equation that can be considered as a generalization of the Ikeda map with included spectral filtering, dispersion, and coherent injection terms. We demonstrate that this equation can exhibit modulational instability and bright localized structures formation in the anomalous dispersion regime.