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Nonwhite photodetection noise at the ouput of an optical amplifier: theory and experiment

Based on the statistical properties of the amplified spontaneous emission, the photo detection noise spectrum at the output of an optical amplifier is studied. General expressions of noise corresponding to the beating of the amplified spontaneous emission with itself and with a deterministic signal are derived. The result revealed that the signal-spontaneous emission beating noise spectrum is a transposition of the spontaneous emission spectrum to the low frequency domain, and the spontaneous emission- spontaneous emission beating noise spectrum is the autocorrelation function of the spontaneous emission spectrum. A filtered non-uniform spontaneous emissions spectrum resulted in a non-white photo detection noise spectrum. These theoretical results are verified experimentally on a erbium-doped fiber amplifier.