Maintaining Constant Pulse-duration in Highly Dispersive Media using Nonlinear Potentials

TL;DR

This paper presents a nonlinear method using control pulses to maintain the shape of ultrafast optical signals in highly dispersive media, even with fluctuating dispersion effects.

Contribution

It introduces a novel approach employing co-propagating control pulses to counteract dispersion-induced pulse broadening in complex media.

Findings

Signal pulses remain temporally stable over long distances.

The method compensates for large, fluctuating dispersion effects.

Numerical simulations confirm effectiveness in resonant and gain dispersive systems.

Abstract

A method is shown for preventing temporal broadening of ultrafast optical pulses in highly dispersive and fluctuating media for arbitrary signal-pulse profiles. Pulse pairs, consisting of a strong-field control-pulse and a weak-field signal-pulse co-propagate, whereby the specific profile of the strong-field pulse precisely compensates for dispersive phase in the weak pulse. A numerical example is presented in an optical system consisting of both resonant and gain dispersive effects. Here we show signal-pulses that do not temporally broaden across a vast propagation distance, even in the presence of dispersion that fluctuates several orders of magnitude and in sign (for example within a material resonance) across the pulse's bandwidth. Our approach illustrates the potential for using cross-phase modulation to compensate for dispersive effects on a signal-pulse and fills the gap in the current understanding of this nonlinear phenomenon.