Propagation of a radially polarized Hermite-cos-Gaussian correlated Schell-model beam in oceanic turbulence

A new beam called radially polarized Hermite-cos-Gaussian correlated Schell-model (RPHCGSM) beam is proposed. The propagation formulae of an RPHcGSM beam in oceanic turbulence are derived, and the propagation properties of such beam are analyzed. The results show that the spectral density distribution of an RPHcGSM beam in free space can be modulated by gamma as distance increases; the beamlets will overlap when an RPHcGSM beam propagating through oceanic tur-bulence, and the stronger oceanic turbulence can accelerate the speed of beamlets evolving into Gauss beam. Moreover, the degree of polarization can become regular distribution and degree of coherence can become Gaussian distribution due to the influence of oceanic turbulence.