A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation

Rainer Mandel, Wolfgang Reichel

In nonlinear optics $2\pi$-periodic solutions $a\in C^2([0,2\pi ];\mathbb{C})$ of the stationary Lugiato-Lefever equation $-da"=(\mathrm{i}-\zeta )a+|a{|}^{2}a-\mathrm{i}f$ serve as a model for f…