Chaotic control and synchronization in optical second-harmonic generation with parameter modulating by delay feedback.

Chaotic behaviors can be controlled and converted into periodic behaviors by modulating the cavity detuning parameters using delay feedback signal from itself in optical second-harmonic generation (OSHG) system. Numerical simulations show that the period orbit differs on the account of the modulating coefficient and delay time. When the modulating coefficient and delay time are matching, many OSHG systems, whether or not they are in chaos initially, can reach chaotic synchronization if they are driven by a master system and their cavity detuning parameters are varied with the time-delay feedback chaotic signal. Different modulating coefficients with the corresponding minimum delay time are calculated.