Accelerating Solitons in Gas-Filled Hollow-Core Photonic Crystal Fibers

TL;DR

This paper investigates the behavior of solitary pulses in gas-filled hollow-core photonic crystal fibers, revealing conditions under which they accelerate, self-shift, or decay due to plasma nonlinearities.

Contribution

It introduces self-similar solitary solutions for a model including plasma nonlinearity, highlighting their acceleration and spectral shifts.

Findings

Solitary waves can accelerate and self-shift to higher frequencies.

Large plasma nonlinearity or small pulse amplitudes cause long tails and decay.

Stationary solitary solutions exist under certain conditions.

Abstract

We found the self-similar solitary solutions of a recently proposed model for propagation of pulses in gas filled hollow-core photonic crystal fibers that includes a plasma induced nonlinearity. As anticipated for a simpler model and using a perturbation analysis, there are indeed stationary solitary waves that accelerate and self-shift to higher frequencies. However, if the plasma nonlinearity strength is large or the pulse amplitudes are small, the solutions have distinguished long tails and decay as they propagate.