“…In 2017, D. Vigneswaran et al proposed the mode-selective bidirectional pumping scheme for the uniform gain pattern for different LP modes with the minimal DMG close to 0 dB [10]. In 2021, Qayoom Taban et al used the center-depressed erbium-ion doping profile to improve the pumping efficiency of the FM-EDFA supporting six mode groups, with the LP 21a -mode pump power of 55.567 mW and the minimum DMG of approximately 4.41 dB [11]. It is well-known that the DMG can be reduced by optimizing pump modes, refractive index profile, and erbium-doping concentration, or combining the above methods, in which the erbium-ion concentration distribution is the basis of optimizing the pumping scheme and the FM-EDF's length in the simulation or design of FM-EDFAs.…”