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Phase synchronization in a diode-laser-pumped Nd:YAG laser coupled with a chaotic oscillator

We have studied synchronous behaviors between a diode-laser-pumped Nd:YAG laser and an electronically-implemented Rössler oscillator. When the Rössler oscillator is unidirectionally coupled to the Nd:YAG laser, two chaotic systems develops from a non-synchronous state to a phase synchronization state with a π phase shift through a 2π phase jump state as the coupling strength increases. To verify that the π phase shift is not anti-phase synchronization but phase synchronization(PS) with a π phase shift, we propose two kinds of similarity functions. From the similarity functions, we confirm that the synchronous phenomenon is PS with a π phase shift.