【作者】 冯秀琴；

【导师】 沈柯；

【作者基本信息】 长春理工大学 ， 光学， 2006， 博士

【摘要】 本文研究了简并光学参量振荡器的超混沌控制与同步，并对简并光学参量振荡器和二次谐波系统的混沌反控制进行了深入探讨，全文的研究分为三大部分：简并光学参量振荡器的超混沌控制与周期态同步、简并光学参量振荡器的超混沌同步、简并光学参量振荡器和二次谐波系统的混沌反控制。 第一部分，首先对简并光学参量振荡器的动力学方程进行了深入研究，对其稳定性进行了分析，指出在一定的参数条件下，简并光学参量振荡器存在混沌和超混沌状态。然后采用四种方法—周期参数调制法、外部周期信号参数调制法、互耦合法以及互耦合参数调制法、外部注入光场法对简并光学参量振荡器的超混沌进行了有效控制，可以将处于超混沌状态的简并光学参量振荡器控制到不同的周期态。首次提出并深入研究了简并光学参量振荡器系统的周期态同步，指出存在两种周期态同步方式，并对其实现方法和特点进行了详细讨论。 第二部分，利用三种方法研究了简并光学参量振荡器系统的超混沌同步—单向耦合驱动法、互耦合驱动法和外部超混沌信号参数调制法。在利用单向耦合驱动法和互耦合驱动法实现简并光学参量振荡器的超混沌同步的研究中，首次提出借助于位相调制器的作用，可以实现两种方式的超混沌同步，即同向同步和反向同步。研究了外部超混沌信号参数调制法实现多台简并光学参量振荡器的超混沌同步，首次通过数值模拟结果分析得到，利用这种方法实现的超混沌同步方式与初始条件和调制系数有关，并表现出随机性和突变性。 第三部分研究了简并光学参量振荡器和二次谐波系统的混沌反控制。指出周期信号参数调制法、单向耦合驱动法、互耦合驱动法和外部超混沌信号参数调制法可以应用于光学系统的混沌反控制。首次利用周期信号参数调制法分别研究了简并光学参量振荡器系统和光学二次谐波系统的混沌反控制，指出随着调制系数的逐渐增大，简并光学参量振荡器系统的亚谐波模输出光强度逐渐增强，生成的混沌吸引子有所不同。分别用单向耦合驱动法、互耦合驱动法和外部超混沌信号参数调制法研究了简并光学参量振荡器系统的混沌反控制，指出输出的混沌信号强度与耦合强度和调制系数有关。 最后利用简并光学参量振荡器输出的超混沌信号研究了同步扩频保密通信，通过更多还原

【Abstract】 The dissertation mainly investigates the control and synchronization of hypechaos in degenerate optical parametric oscillator. At the same time, we also do a lot of study for anti-control of chaos in degenerate optical parametric oscillator(DOPO) and second hamonic generation(SHG). The research work can be classified into three parts: Controlling hyperchaos and synchronizing periodic states in the DOPO, synchronizing hypechaos in the DOPO and anti-control of chaos in the DOPO and SHGIn part one, firstly, the dynamic equation of the DOPO is deeply investigated and the stability of its stable solution is analyzed. It is found that DOPO can be in chaotic or hyperchaotic state at some conditions. The hyperchaos is successfully controlled by four methods—periodic parameter modulation, outer periodic signal paremeter modulation, mutual couple and outer optical field. Then we research periodic synchronization in the DOPOs and analyse synchronizing types and characteristics.In part two, Hyperchaotic synchronization of the DOPOs are investigated by three methods—unidirectional coupling driving, mutual couple and outer hyperchaotic signal paremeter modulation. Synchronization and inversed synchronization in the DOPOs can be realized because of phase modulator. We study the chaotic synchronization in DOPOs by hyperchaotic signals, which modulate parameters. Statistics have shown that two or more chaotic systems based on new dynamics can fulfill synchronization or inversed synchronization. We have also observed that the synchronizing states depend on different initial conditions and modulating coefficients. Under certain initial conditions, synchronization state tends to show spontaneous mutation in accordance with some points of the modulating coefficients.In part three, anti-control of chaos in the DOPOs and SHG are first put forward by four methods, which are period parameter modulation, unidirectional coupling driving, outer hyperchaotic signal paremeter modulation and mutual couple. Anti-control of chaos in the DOPOs and SHG are discussed with periodic parameter modulation. There are differentattrators because of different modulating coefficient in the DOPO. The greater the modulating coefficient, the greater output of the amplitude of the subharmonic mode. Anti-control of chaos in the DOPOs with unidirectional coupling driving, outer hyperchaotic signal paremeter modulating and mutual coupling methd respectively, the output intensity of the chaotic signal is different depending on the different coupling coefficient and modulating coefficient.hi the end, optic secure communication is investigated by using hyperchaotic signal of the DOPO. The three different files(DAT file, F90 file and BMP file) are encrypted and decrypted sequence simultaneously. The experiment is fulfilled and the high security is checked up.更多还原