On the Generation of Stable Kerr Frequency Combs in the Lugiato--Lefever Model of Periodic Optical Waveguides
On the Generation of Stable Kerr Frequency Combs in the Lugiato--Lefever Model of Periodic Optical Waveguides
We consider the Lugiato--Lefever (LL) model of optical fibers. We construct a two parameter family of steady state solutions, i.e., Kerr frequency combs, for small pumping parameter $h>0$ and the correspondingly (and necessarily) small detuning parameter, $\alpha >0$. These are $O(1)$ waves, as they are constructed as a bifurcation from …