Based on the extended Huygens–Fresnel integral, we have analytically and numerically investigated the propagation properties of a radial phased-locked rotating elliptical Gaussian (RPLREG) beam array in turbulent atmosphere. The average intensity and effective beam sizes in $x$ and $y$ directions of a RPLREG beam array are derived, and their evolution behaviors are analyzed in this paper. Our numerical results indicate that the propagation of a RPLREG beam array in turbulent atmosphere depends on the beam parameters including $w$, $r$, $N$ and the structure constant $C_n^2$ of atmospheric turbulence. The results show that the beam arrays of intensity distribution with smaller radius $r$ or larger initial beam size $w$ are very alike, and stronger atmospheric turbulence makes the RPLREG beam evolve into a Gaussian-like beam more rapidly as the propagation distance increases. This research may be useful for optical communications and remote sensing in turbulent atmosphere.
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