Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Doi
Abstract
Highly nonlinear wave propagation scenarios hold the potential to serve
for energy concentration or pulse duration reduction of the input wave form,
provided that a small range of input parameters be maintained. In particular
when phenomena like rogue-wave formation or few-cycle optical pulses
generation come into play, it becomes increasingly difficult to maintain
control of the waveforms. Here we suggest an alternative approach towards the
control of waveforms in a highly nonlinear system. Cascading pulse
self-compression cycles at reduced nonlinearity limits the increase of input
parameter sensitivity while still enabling an enhanced compression effect.
This cascaded method is illustrated by experiments and in numerical
simulations of the Nonlinear Schrödinger Equation, simulating the propagation
of short optical pulses in a self-generated plasma