Statistical Profile of Hermite–Gaussian Beam in the Presence of Residual Spatial Jitter in FSO Communications


During this letter, the statistics of the beam profile of a free-area optical (FSO) system is studied when the optical beam possesses a Hermite–Gaussian profile and the beam is subject to random pointing jitter. In explicit, it's assumed that the received signal is impaired by the residual pointing error cause by the spatial tracking loop accountable for tracking the atmospheric beam wander and platform sway. The residual pointing jitter is assumed to possess a Gaussian probability density operate (pdf) with freelance components in the 2 dimensions of the detector. The mean and variance of the beam profile together with the impact of spatial error on the signal-to-noise (SNR) loss and channel cross-speak are obtained assuming that the pointing jitter incorporates a variance that is substantially smaller than the beam waist.

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