The invention relates to an optical fiber amplifier single-band (1), comprising an amplifying fiber (4) and the pumping means (3) as well as the return means (2) returning the noise of amplified spontaneous emission towards the amplifying fiber. The present invention makes it possible to limit the losses due to the noise of amplified spontaneous emission by return to the amplifying fiber. Thanks to the return means, the noise of amplified spontaneous emission returned to the amplifying fiber to the amplification.
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