Abstract:
In the Fresnel approximation, an analytical model of a Gaussian laser beam with random phase distortions of the field has been developed. It is accepted in the work that random phase distortions of the field are distributed according to the normal law, statistically homogeneous and isotropic. The propagating beam is represented by the sum of two components: diffraction-limited and partially coherent (scattered by phase inhomogeneities). In turn, the partially coherent component is represented by the sum of statistically independent subbeams, each of which has a zero average statistical field. The distribution of subbeams by radiation power is related to the dispersion of phase distortions. The study of the spatial structure of subbeams was carried out using the methods of the theory of spatial moments. Analytical relations have been obtained and studied that uniformly approximate the distribution function of the average statistical radiation flux depending on the size of the receiver and the distance to the observation plane without restrictions on the amplitude and scale of random phase distortions of the field. The research results can be used in the development and optimization of laser transceiver optical systems, in methodologies for measuring the parameters and quality of laser beams.
Keywords:Gaussian laser beam, random phase distortions of the field, radiation flux, partially coherent component, axial intensity, beam width.
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