Evolution properties of a radial phased-locked partially coherent Lorentz-Gauss array beam in oceanic turbulence

The concept of a radial phased-locked partially coherent Lorentz-Gauss array (PCLGA) beam generated by a Schell-model source has been introduced. Based on the Huygens-Fresnel principle, the analytical expressions for the cross-spectral density function of a radial phased-locked PCLGA beam propagation in oceanic turbulence has been derived. The average intensity and coherence properties of a radial phased-locked PCLGA beam propagating in oceanic turbulence are illustrated using numerical examples. The influences of coherence length and oceanic turbulence on the evolution properties and spectral degree of coherence are analyzed in details. The results show that radial phased-locked PCLGA beam propagation in stronger oceanic turbulence will evolve into Gaussian-like beam more rapidly as the propagation distance increases.