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针对简并光学参量振荡器的非线性动力学特点,应用两个简并光学参量振荡器之间的互耦合法,研究了简并光学参量振荡器的混沌反控制与混沌同步。数值模拟了简并光学参量振荡器从周期输出到混沌输出的转换,理论计算了对于不同抽运强度的简并光学参量振荡器实现从周期输出到混沌输出的转化需要的最小互耦合系数。数值分析结果说明,具有不同的抽运强度和互耦合系数的简并光学参量振荡器形成的混沌吸引子不同,只要两个互耦合的简并光学参量振荡器实现混沌输出,这两个简并光学参量振荡器之间就能实现混沌精确同步,根据耦合方式的不同,两个简并光学参量振荡器之间存在两种同步方式,即同向同步和反相同步。
Aiming at the nonlinear dynamics of degenerate optical parametric oscillator, the mutual coupling between two degenerate optical parametric oscillators is applied to study the chaotic anti-control and chaos synchronization of the degenerate optical parametric oscillator. The conversion of the degenerate optical parametric oscillator from the periodic output to the chaotic output is numerically simulated. The minimum mutual coupling coefficient needed to realize the conversion from periodic output to chaotic output is calculated theoretically for the degenerate optical parametric oscillator with different pumping intensities. Numerical results show that chaotic attractors with degenerate optical parametric oscillators with different pumping intensities and mutual coupling coefficients are different, so long as two degenerate optical parametric oscillators with mutual coupling achieve chaotic output, the two degenerates Optical parametric oscillators can realize accurate synchronization of chaos. According to the different coupling modes, there are two kinds of synchronization modes between two degenerate optical parametric oscillators: synchronous and inverse synchronization.