Lau effect is a self-imaging phenomenon formed by the inference of dou ble-grating with incoherent illumination.In this paper,the relationship betwee n the impulse function and ABCD matrix of optical system in the time domain is a chieved based on the space-time duality from the wave equation describing the o p tical field.And then two schemes for second-order Lau effect via temporally op tcal field intensity correlation are designed.Finally,the intensity fluctuation correlation expressions describing second-order Lau effect are derived and th e relationship between the distribution of the reconstructed periodic temporal li ght pulses and the group delay dispersion (GDD) parameter of the dispersion medi um.Correspondingly,the distribution characteristics of the reconstructed light pulse pattern is analyzed.The results,on one hand,show that temporally perio dic structures are nonlocally superposed due to the joint dispersion of correlat ed light pulses.The results,on the other hand,show that when the GDD paramete r of dispersion medium between two gratings is an integral multiple of the Talbo t GDD parameter,the fringes of periodic light pulses are obtained.However,whe n the GDD parameter of dispersion medium between two gratings is an odd times of half the Talbot GDD parameter,the periodic pulses are reconstructed with a hal f period shift.Our results may be useful for the application of light field cor relation in temporal optics,especially for remotely transmitting the periodic t emporal signals robustly.