Fully Localized Two-dimensional Embedded Solitons

TL;DR

This paper predicts the existence of fully localized two-dimensional embedded solitons in a waveguide array, demonstrating their stability and potential applications in nonlinear photonics.

Contribution

First prediction of fully localized 2D embedded solitons in a waveguide array with stability analysis.

Findings

Embedded solitons exist inside Bloch bands.

These solitons are stable under perturbations.

Potential applications in nonlinear optics.

Abstract

We report the first prediction of fully localized two-dimensional embedded solitons. These solitons are obtained in a quasi-one-dimensional waveguide array which is periodic along one spatial direction and localized along the orthogonal direction. Under appropriate nonlinearity, these solitons are found to exist inside the Bloch bands (continuous spectrum) of the waveguide, and thus are embedded solitons. These embedded solitons are fully localized along both spatial directions. In addition, they are fully stable under perturbations. These results show that multidimensional embedded solitons may find applications just like non-embedded (regular) solitons.