Design of few-mode erbium-doped fiber with a low differential modal gain and weak coupling based on layered doping

A step index few-mode erbium-doped fiber (FM-EDF) for mode gain equalization is designed and proposed in this paper, which uses the layered-doping method to reduce the differential mode gain (DMG). The optimum structure of FM-EDF is obtained by adjusting the doping radius and doping concentration. When this structure is applied to a few-mode erbium-doped fiber amplifier (FM-EDFA), the DMG in the range of 1550-1565 nm is ∼0.28d B, and the DMG of the whole C-band is usually less than 0.5 dB. At the same time, the gain of each mode in 1530-1555 nm is ∼20d B, while the gain decreases gradually in the 1555-1565 nm due to the absorption characteristics of erbium ions. In addition, the minimum refractive index difference (Δ n _eff) between modes is 1.29∗10^-3 due to the selection of the refractive index and radius of the fiber core, which will greatly reduce the coupling between modes in practical application. Tolerances in the fiber manufacturing process are also considered for reliable FM-EDFA performance. When the doping concentration or the doping radius changes based on the precise value, the DMG will increase to a certain extent. In general, the DMG can maintain a small value, which is beneficial to applications in optical communication systems.