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。

A chaotic anti-control and synchronization method of mutual coupling between two degenerate optical parametric oscillators is present,based on the nonlinear dynamic characteristics of degenerate optical parametric oscillator. Transforming degenerate optical parametric oscillators from periodic state into chaotic output is simulated numerically. The lowest mutual coupling coefficient of degenerate optical parametric oscillator with different pump field amplitude is calculated. Numerical simulations show that there are different chaotic attractors depending on the different coupling coefficients and pump field amplitudes.Precise chaotic synchronization can be reached only if they have chaotic output. They realize identical synchronization or inversed synchronization because of different coupling types.