Self-similar propagation of optical pulses in quartic normal dispersion fibers
15 May 2020
We study the propagation of ultrashort pulses in optical fiber with gain and normal quartic dispersion by self-similarity analysis of the modified nonlinear Schrödinger equation. We find an exact asymptotic solution, corresponding to a triangle-like, T^4/3 intensity profile, with a T^1/3 chirp. Our solution is confirmed by numerical simulations. This solution follows different amplitude and width scaling compared to the conventional case with quadratic dispersion. We also suggest, and numerically investigate, a fiber laser cavity built from optical components with normal quartic dispersion which emits quartic self-similar pulses.