Chirped periodic and localized waves in a weakly nonlocal media with cubic-quintic nonlinearity

TL;DR

This paper investigates the propagation of optical beams in weakly nonlocal media with cubic-quintic nonlinearity, deriving explicit solutions and discovering various chirped periodic and localized wave structures, including solitary and self-similar waves.

Contribution

It provides explicit solutions for wave propagation in such media and identifies new chirped periodic and localized wave structures, including self-similar solitary beams.

Findings

Existence of chirped periodic waves with nonlinear chirp.

Presence of chirped localized dips and solitary waves of bright and dark types.

Identification of propagating chirped self-similar solitary beams.

Abstract

We study the propagation of one-dimentional optical beams in a weakly nonlocal medium exhibiting cubic-quintic nonlinearity. A nonlinear equation governing the evolution of the beam intensity in the nonlocal medium is derived thereby which allows us to examine whether the traveling-waves exist in such optical material. An efficient transformation is applied to obtain explicit solutions of the envelope model equation in the presence of all material parameters. We find that a variety of periodic waves accompanied with a nonlinear chirp do exist in the system in the presence of the weak nonlocality. Chirped localized intensity dips on a continuous-wave background as well as solitary waves of the bright and dark types are obtained in a long wave limit. A class of propagating chirped self-similar solitary beams is also identified in the material with the consideration of the inhomogeneities of media. The applications of the obtained self-similar structures are discussed by considering a periodic distributed amplification system.