Spatial differential analysis of the collimated wave beam intensity profile

摘要

The amplitude distribution complex structure of the optical beam profile at the end of a long atmospheric path can be considered in terms typical of surface profile descriptions used in solid state physics or geophysics. The characteristic values for such approaches are based on the geometry analysis of constant level curves, directions of steepest descent from a given point on the surface and quadratic combinations describing the deformation of the analyzed surface. The matrix of local orientation values determined on the basis of the first spatial differentials is unique for the image. It can be used as a basis for describing the of the initial intensity distribution. Differential characteristics of the spatial structure make it possible to classify distortions of the beam profile by types of symmetry and direction of deformations. Differential characteristics of the spatial structure make it possible to classify distortions of the beam profile by types of symmetry and direction of deformations. It's possible to associate the observed spatial parameters with the meteorological conditions on the path and in the first approximation, restore the main directions of phase modulation in the observation plane.