Hidden possibilities in controlling optical soliton in fiber guided doped resonant medium

TL;DR

This paper explores new methods for controlling and amplifying optical solitons in Erbium-doped fiber media by leveraging the integrable structure of the coupled SIT and nonlinear Schrödinger equations, enabling pulse regulation and enhancement.

Contribution

It reveals two novel possibilities for pulse amplification and control through the integrable hierarchy, including adjustable pulse broadening via initial population inversion and multi-media systems.

Findings

Pulse broadening can be regulated by initial population inversion.

Enhanced amplification achieved through multiple SIT media.

Theoretical predictions are analytically detailed and correct previous limitations.

Abstract

Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schroedinger equation. We discover two new possibilities hidden in its integrable structure, for amplification and control of the optical pulse. Using the variable soliton width permitted by the integrability of this model, the broadening pulse can be regulated by adjusting the initial population inversion of the opant atoms. The effect can be enhanced by another innovative application of its constrained integrable hierarchy, proposing a system of multiple SIT media. These theoretical predictions are workable analytically in details, correcting the limitation of a well known result.