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Swift-Hohenberg Equation with Third Order Dispersion for Optical Resonators

The control of linear and nonlinear properties of Photonic Crystal Fibers (PCF) has led to several applications in optoelectronics, sensing, and laser science [1]. In particular, driven optical microcavities are widely used for the generation of optical frequency combs. They can be modeled by the Lugiato-Lefever equation that possesses solutions in the form of localized structures (LSs) [2]. Optical frequency-combs generated in high-Q Kerr resonators [3] are in fact the spectral content of the stable temporal pattern occurring in the cavity.