Stochastic differential equation model for spontaneous emission and carrier noise in semiconductor lasers
Published 2017-09-12Version 1
We present a stochastic differential equation model for the spontaneous emission and carrier noise in semiconductor lasers that coincides with previously derived diffusion coefficients. The nonzero correlation time of the physical noise must be taken into consideration since the strength of the noise depends on both the field and the carrier number. Therefore, we use a colored noise model to account for the effects of this nonzero correlation time. We then derive a practical, white-noise driven model by taking the limit of the system as the correlation time of the noise goes to zero. This model reveals that the spontaneous emission noise and carrier noise affect the mean values of both the electric field amplitude and the carrier number. This correction to the mean dynamics is described by additional drift terms that capture the effects of the nonzero correlation time of the physical noise.