This note aims to report and correct a mistake in the mentioned paper [J. Opt. Soc. Am. A34, 1187 (2017)JOAOD60740-323210.1364/JOSAA.34.001187]. The quadratic equation given in the paper to provide the solution to the possible refractive direction of a transmitted photon after interacting with the curved turbulent boundary is incorrect due to neglecting the refractive index variation along the propagation link. The revised equation is provided and substantiated by numeric simulation results.