Propagation of dipole solitons in inhomogeneous highly dispersive optical fiber media

TL;DR

This paper derives exact self-similar dipole soliton solutions for ultrashort pulse propagation in inhomogeneous, highly dispersive optical fibers, highlighting the role of higher-order dispersion effects in shaping these pulses.

Contribution

It introduces a new class of exact self-similar dipole soliton solutions in inhomogeneous fibers with higher-order dispersions, expanding understanding of pulse dynamics in complex media.

Findings

Higher-order dispersion effects are crucial for dipole soliton formation.

Self-similar dipole pulses can exist under specific fiber parameter conditions.

Dynamic behaviors of these solitons are analyzed in amplification systems.

Abstract

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying second-, third-, and fourth-order dispersions, cubic nonlinearity, and linear gain or loss. We construct a new type of exact self-similar soliton solutions that takes the structure of dipole via a similarity transformation connected to the related constant-coefficients one. The conditions on the optical fiber parameters for the existence of these self-similar structures are also given. The results show that the contribution of all orders of dispersion is an important feature to form this kind of self-similar dipole pulse shape. The dynamic behaviors of the self-similar dipole solitons in a periodic distributed amplification system are analyzed. The significance of the obtained self-similar pulses is also discussed.