Abstract

Frequency combs (FCs) are of key importance in many high precision metrology applications. It has been recently shown that the formation of patterns and cavity solitons in ring microresonators is a valid strategy to generate high quality FCs. In this context Kerr combs can be properly described by the Lugiato-Lefever (LL) model[1]. Typical descriptions, however, disregard the effects of noise fluctuations, although noise can broaden the FC and ultimately limit the precision of the devices. Here we analyze the effect of noise fluctuations in the generation of Kerr FC by using a LL model with an additional stochastic term as done to model transver effects in Kerr optical cavities [2]. Thus the model reads:

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