Few-mode erbium-doped fiber with trench and weak coupling for mode gain equalization based on layered-doping technology

Abstract

A few-mode erbium-doped fiber (FM-EDF) with a step refractive index and trench structure is designed and proposed to realize the modal gain equalization of a few-mode erbium-doped fiber amplifier (FM-EDFA). The layered-doping technology is used to reduce the mode gain difference (DMG). The doping radius and doping concentration are adjusted to obtain the optimum FM-EDF structure. When the designed FM-EDF is applied to the FM-EDFA, the DMG of the whole C-band is less than 0.15 dB and the DMG is less than 0.12 dB at 1550 nm. The minimum refractive index difference (Δneff) between modes can be calculated according to the refractive index and radius of the fiber core; i.e., 1.35×10−3, which will greatly reduce the coupling between modes in a practical application. Tolerances in the fiber manufacturing process are also considered for reliable FM-EDFA performance. When the doping radius and concentration of each doping layer fluctuate by ±15% based on the precise value, the maximum DMG increases to 1.8 dB. In general, DMG can maintain a small value, which is beneficial for application in optical communications systems.