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Bifurcation Structure of Localized Patterns and Spikes in Dispersive Kerr Cavities

In the past ten years externally driven dispersive cavities with Kerr type of nonlinearity received a lot of attention as sources for optical frequency comb generation. These combs consist in very sharp equidistant spectral lines that can be used to measure light frequencies with extremely high accuracy, finding applications in broad areas of science and technology [1]. These combs correspond to the frequency spectra of the light patterns circulating inside the cavity, and therefore it is possible to understand the dynamics and stability of the former by studying the latter. Since these cavities are dissipative, light patterns are commonly called dissipative structures (DSs).