Optimizing bandwidth of fiber optical parametric amplifier with different combinations of higher-order dispersion coefficient signs

N Othman,N S M Shah,N A Cholan,K G Tay,Mohamad Halim Abd Wahid

doi:10.1051/epjconf/201716201017

Abstract

This paper investigates the influence of different combinations of second-order (β2 ), fourth-order (β4 ) and sixth-order (β6 ) dispersion coefficient signs (negativity/positivity) to the fiber optical parametric amplifier gain performance. The numerical simulation has exploited the fourth-order Runge-Kutta method to solve the coupled amplitude equations which basically represent the parametric process of four-wave mixing. In the normal regime at which β2 is positive, the fiber optical parametric amplifier exhibits a poor gain spectrum and it is well performed once the pump is presumed to be in anomalous regime i.e. β2 is negative. The effect of β4 is significant when the signal wavelength is further from the pump wavelength and a wide amplification bandwidth is produced when the fiber have positive β4 in the anomalous regime. As for β6 , unfortunately in this simulation its influences are hardly can be seen probably because of its small value regardless its sign, but, from phase-mismatch equation it is shown that its impact is prominent when the signal is positioned way far from the pump. All in all, this shown that the signs combination of the higher-order dispersion coefficients are significant in order to optimize the FOPA amplification bandwidth.

Highlights

The nonlinear effect of FWM has been utilized in many applications such as the parametric oscillators [1], FWMassisted lasers [2], FWM-cascaded [3], optical generators [4] and filter [5]
This section simulates the impacts of the different combinations of β2, β4 and β6 signs on fiber optical parametric amplifier (FOPA) gain spectrum
This paper has numerically investigated the effects of the different combination of β2, β4 and β6 signs to the FOPA gain spectrum

Summary

Introduction

The nonlinear effect of FWM has been utilized in many applications such as the parametric oscillators [1], FWMassisted lasers [2], FWM-cascaded [3], optical generators [4] and filter [5]. One of the applications which exploited the nonlinear effect of FWM is the fiber optical parametric amplifier (FOPA). There are several ways to optimize the FOPA gain spectrum for instance by increasing the pump power to obtain high parametric gain [7] and place the pump close to zero dispersion frequency to attain wide amplification bandwidth [8]. One can include the higher-order dispersion coefficient of a fiber in order to optimize the FOPA gain spectrum. In this paper the effects of the combination of signs of the second-order, fourth-order and sixth-order dispersion coefficients to the FOPA gain spectrum were investigated. The FOPA is assumed to be experience losses and the pump is depleted

Mathematical model

Results and Discussion

Conclusion