氦氖激光器混沌控制研究

发布时间：2018-06-17 15:00

本文选题：氦氖激光器 + 混沌　；参考：《燕山大学》2015年硕士论文

【摘要】：混沌是非线性科学发展中的重要理论之一,它揭示了自然界中普遍存在的复杂性。有时候混沌运动正是我们所需要的,而有些情况又会干扰系统的正常运行,这时又需要抑制混沌使系统回到正常的有序状态。因此,在一些混沌显得非常重要的场合,有目的的产生和控制混沌就显得极为重要。混沌控制的目的是通过设计控制方法,达到消灭混沌或抑制混沌,使系统进入有序的周期运动。激光系统中存在着丰富的混沌现象,激光器的混沌产生和控制研究已成为当今科学领域中的关键性研究课题。由于氦氖激光器的输出具有方向性好、单色性好、输出功率和波长稳定等特性,使其得到了广泛的应用和研究。本文主要的研究内容如下:首先介绍了激光器和混沌的基本理论,根据半经典理论,得到了单模非均匀加宽驻波激光器方程。基于此,推导出了A类氦氖激光器的动力学方程及外腔反馈延时动力学方程。分析了氦氖激光器外腔反馈延时的混沌特性,讨论了不同的反馈系数和延迟时间对激光混沌输出的影响。通过对混沌控制方法的研究,提出了氦氖激光器反馈相位周期控制方法,建立了其动力学方程和理论模型,采用三种不同波长的相位周期控制方法,对激光输出的周期态及混沌态进行了控制分析。虽然氦氖激光器在适当的控制下可以由稳定态进入混沌态,激光输出的混沌也可以被控制到周期态,但由于其实验成本较高,很难实现普遍应用,所以大部分课题只是对其进行理论分析。基于此,根据氦氖激光器的动力学方程,建立了氦氖激光器光反馈下的动力学方程,并设计出了模拟电路,使电路实现氦氖激光器的动力学行为。通过改变激光动力学方程对应模拟电路中电阻值的变化,对模拟电路的混沌输出进行了仿真分析。验证了电路的有效性和可靠性。
[Abstract]:Chaos is one of the important theories in the development of nonlinear science, which reveals the complexity that exists in nature. Sometimes the chaotic motion is exactly what we need, and some cases will interfere with the normal operation of the system, then it is necessary to suppress chaos to make the system return to the normal ordered state. Therefore, it is very important to produce and control chaos purposefully in some situations where chaos is very important. The purpose of chaos control is to eliminate chaos or suppress chaos by designing control methods, and to make the system enter into an orderly periodic motion. There are abundant chaotic phenomena in laser system. The study of chaos generation and control has become a key research topic in the field of science. The He-Ne laser has been widely used and studied because of its good directivity, good monochromatic, stable output power and wavelength. The main contents of this paper are as follows: firstly, the basic theory of laser and chaos is introduced. According to the semiclassical theory, the equation of single-mode nonuniform broadening standing wave laser is obtained. Based on this, the dynamic equation of A type He-Ne laser and the dynamic equation of external cavity feedback delay are derived. The chaotic characteristics of the feedback delay in the external cavity of He-Ne laser are analyzed, and the effects of different feedback coefficients and delay time on the chaotic output of the laser are discussed. Based on the study of chaos control method, a feedback phase period control method for He-Ne laser is proposed, its dynamic equation and theoretical model are established, and three phase period control methods with different wavelengths are adopted. The periodic and chaotic states of laser output are analyzed. Although the He-Ne laser can be controlled from a stable state to a chaotic state and the laser output chaos can also be controlled to a periodic state under proper control, it is difficult to achieve universal application due to the high experimental cost. So most of the topics are just theoretical analysis. Based on the dynamic equation of He-Ne laser, the dynamic equation of He-Ne laser under optical feedback is established, and an analog circuit is designed to realize the dynamic behavior of He-Ne laser. The chaotic output of the analog circuit is simulated by changing the laser dynamic equation corresponding to the change of the resistance value in the analog circuit. The validity and reliability of the circuit are verified.
【学位授予单位】：燕山大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TN248.2

【参考文献】