Phase recovery technology is an important branch of wavefront reconstruction technology where the result of reconstruction only depends on the distribution of light intensity in the measurement plane.Compared with other wavefront reconstruction methods,phase recovery technology has the advantages of no additional hardware in the optical path,simple optical path,low requirements on the optical path environment and high interference immunity and has very broad application prospect in the fields of beam shaping,laser beam purification and interference imaging.The accuracy and speed of phase recovery is the main criteria for evaluating phase recovery technology.At present,the literature in this field is relatively complicated.In this paper,the development of the phase recovery algorithm is summarized.The core issues of the convergence accuracy and convergence speed of the phase recovery algorithm are introduced,a systematic introduction of the relevant research progress of iterative and light intensity phase recovery algorithms are presented,and an outlook on the development prospects of phase recovery algorithms is given.