Physical layer security (PLS), which uses information-theoretic techniques to protect data secrecy, has recently received a lot of academic attention. As wireless communications progresses to 5G and beyond, physical layer security research faces new hurdles. Because existing Radio-Frequency (RF) networks are unable to meet increasing data rate demands, optical wireless communication (OWC) based on free-space optical (FSO) techniques has been proposed as a viable approach to overcome RF spectrum limitations. Because of the small coverage offered by the narrow optical beam and the fact that they work properly only in the presence of line-of-sight components, FSO networks are more secure and less sensitive to eavesdropping than RF networks. However, the presence of an aggressive eavesdropper may undermine the secrecy performance of FSO networks. This document summarises all of the research that has been done on physical layer security in free space optical networks. In addition, the study suggests a number of open problems in these networks in order to improve and optimise security performance.