The third- and fourth-order orbital angular momentum multiplexed amplification with ultra-low differential mode gain
TianJin Wen, Shecheng Gao, Wei Li, Jiajing Tu, Cheng Du, Ji Zhou, Bin, Zhang, Weiping Liu, Zhaohui Li

TL;DR
This paper demonstrates the design and fabrication of a ring-core erbium-doped fiber supporting up to the fourth-order OAM modes, achieving high average gain and ultra-low differential mode gain for mode multiplexed amplification.
Contribution
It introduces a novel two-layer erbium-doped ring-core fiber supporting high-order OAM modes with low differential gain for improved mode multiplexed amplification.
Findings
Average gain >19dB for four OAM modes covering C-band
Differential mode gain less than 1dB
Conjugate OAM modes have nearly identical gain under various pump powers
Abstract
In this Letter, a ring-core erbium-doped fiber (RC-EDF), with two-layer erbium-doped structure, supporting up to the fourth-order orbital angular momentum (OAM) mode is designed and fabricated for OAM mode multiplexed amplification. Using the RC-EDF, the third- and fourth-order OAM modes amplification with ultra-low differential mode gain (DMG) is demonstrated by observing both the modal intensity and phase distribution and measuring the modal gain under the fundamental mode core-pumping. The measured average gain of four modes (l=+3, -3, +4, -4) multiplexed amplification is higher than 19dB cover the C-band and the DMG is less than 1dB. Additionally, the gain of two conjugate OAM modes are almost the same under different pump power no matter they are amplified simultaneously or separately.
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