Approximations wander model for the Lommel Gaussian-Schell beam through unstable stratification and weak ocean-turbulence

By analyzing the construction features of a Lommel Gaussian-Schell beam and the beam wander for Gaussian beams, we derive the closed-from approximations expression for the wander of Lommel Gaussian-Schell beam through unstable stratification and weak ocean-turbulence. Turbulence conditions with a smaller outer- and inner-scale of turbulence usually cause smaller beam wander. There is a extremum value βex of the beam paraxial coefficient corresponding to the maximum beam wander for given parameters of turbulence and beam. We can utilize larger beam waist, longer wavelength, higher quantum number of orbital angular momentum and larger asymmetry factor, meanwhile, avoid extremum value βex to reduce the beam wander. The influence of salinity fluctuations of turbulent ocean on beam wander is greater than temperature fluctuations. Under the assumption of unit diffusivity ratio, the beam wander is either underestimated or overestimated. Keywords: Beam wander, Lommel Gaussian-Schell, Turbulent ocean