Abstract
The probability density function of the intensity of a Hermite–Gaussian (HG) beam is studied. It is assumed that the beam is used in a free-space optics communication link or laser ranging system. In particular, it is assumed that the captured optical radiation pattern assumes an HG beam intensity profile and that the beam is impaired by the residual pointing error cause by the spatial tracking loop responsible for tracking the atmospheric beam wander and platform sway. The mean and variance of the beam profile are also obtained to underscore the impact of spatial jitter on the overall beam profile.
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