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This analysis develops a Gaussian noise model for nonlinear distortions in semiconductor optical amplifiers, highlighting its accuracy under specific conditions.
A Gaussian Noise Model of the nonlinear noise power spectral density is developed for a semiconductor optical amplifier as described by the Agrawal model. A simple closed-form expression is obtained for the nonlinear noise-to-signal ratio of broadband wavelength-division multiplexed signals as a function of the Agrawal model parameters, the amplifier output power and the transmission bandwidth. The accuracy of the closed-form expression and its region of validity is assessed in numerical simulations. The error is smaller than 0.1 dB when the product of bandwidth and gain recovery time B×τc exceeds 100.
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Hartmut Hafermann (2025) studied this question.
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