Long-term beamwidth and quivering of a modified Bessel Gaussian Schell vortex beam in oceanic turbulence

The long-term beamwidth and quivering of modified Bessel Gaussian Schell vortex beam in oceanic turbulence are derived based on the extended Huygens-Fresnel principle. With the help of these models, we analyze the effect of vortex beam and turbulence parameters on long-term beamwidth and beam quivering. We find that modified Bessel Gaussian Schell vortex beam has smaller beam quivering when beam has higher orbital angular momentum quantum number, larger beam waist, larger width parameter, longer wavelength and lower coherent length. We also find that turbulence of large temperature-salinity contribution ratio, large inner scale of turbulence, large outer scale of turbulence and small rate of dissipation of the kinetic energy per unit mass of fluid is more likely to cause beam quivering. The variation trends of long-term beamwidth with beam parameters are opposite to that of beam quivering.