CONTROL OF AND INTERACTION BETWEEN CHAOTIC SYSTEMS REALIZED IN MULTIMODE LASER

多模激光器实现混沌系统的控制和相互作用

• 批准号: 08455040
• 负责人: SHIMIZU Tadao
• 金额: $ 4.99万
• 依托单位: SCIENCE UNIVERSITY OF TOKYO IN YAMAGUCHI
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1996
• 资助国家: 日本
• 起止时间: 1996 至 1998
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08455040/
• 关键词: Chaos; Nonlinear optical system; Gas laser; Multi-mode laser; Modulation of chaos; Synchronization of chaos; レーザー; 非線形系; 多モード; レーザー・カオス; 変調(カオスの); 同期(カオスの); 多モード系

The aim of this research project is to clarify the nonlinear dynamics of "more" complex chaotic system of interacting two mode laser. The CO_2 laser with a saturable absorber in its cavity shows various types of instabilities and even chaotic behaviors. The axial and off-axial modes share the population inverted molecules and then laser oscillation strongly couple with each other. This laser shows the chaos with higher dimension than that of the single mode laser. The extended model of our theory which was well established in the analysis of the single mode chaos beautifully reproduces the observed complex behaviors of the 2-mode chaos.It is known there are two routes to chaos, the period doubling route and the intermittency route. The present system immanently has two possibilities. Either of two can appears actually depending on the laser parameters, such as excitation and loss levels. This is predicted by the calculations and later confirmed by the experiments. The intermittency route belongs to Type II.The chaos via interrmittency route has the higher fractal dimension than that via period doubling route.Synchronization of two chaos and modulation of the chaos with the artificially constructed signal from its strange attractor have been also successfully demonstrated by the theory and the experiments.

本研究项目的目的是阐明相互作用的双模激光“更复杂”的混沌系统的非线性动力学。腔内含有可饱和吸收体的CO_2激光器表现出各种不稳定甚至混沌行为。轴模和离轴模共享布居反转分子，激光振荡相互强烈耦合。这种激光器比单模激光器显示出更高维度的混沌。我们在单模混沌分析中建立的理论扩展模型很好地再现了观察到的双模混沌的复杂行为。众所周知，混沌有两条路径，即倍周期路径和间歇路径。目前的制度内在地有两种可能性。实际上，根据激光参数，如激发和损耗水平，会出现两种情况。这是通过计算预测的，后来又得到了实验的证实。间歇路径为II型，间歇路径的分维高于倍周期路径的分维。理论和实验也成功地证明了两个混沌的同步以及利用来自其奇异吸引子的人工构造的信号对混沌进行调制。

项目成果

T.Tsukamoto, M.Tachikawa, T.Tohei, T.Hirano, T.Kuga, and T.Shimizu: ""Synchronization of a laser system to a modulation signal artificially constructed from its strange attractor"" Physical Review E. 56(6). 6564-6568 (1997)

T.Tsukamoto、M.Tachikawa、T.Tohei、T.Hirano、T.Kuga 和 T.Shimizu：“激光系统与由其奇异吸引子人工构建的调制信号的同步”物理评论 E. 56（

K.Tanii, T.Tohei, M.Tachikawa, and T.Shimizu: ""Chaotic behavior of CO_2 laser with saturable absorber in its laser cavity"(in Japanese)" Bussei Kenkyuu. 68(5). 637-639 (1997)

K.Tanii、T.Tohei、M.Tachikawa 和 T.Shimizu：“激光腔内具有可饱和吸收体的 CO_2 激光器的混沌行为”（日语）”Bussei Kenkyuu。

T. Tsukamoto: "Synchronization of a chaotic laser pulsation with its prerecorded history" Physical Review E. 54. 4476-4479 (1996)

T. Tsukamoto：“混沌激光脉动与其预先记录的历史的同步”物理评论 E. 54. 4476-4479 (1996)

谷井,立川,藤平,港,清水: "Instability and chaos in two-mode oscillation of a CO_2 laser modulated by a saturable absorber" Physical Review A. 43-3. 1498-1501 (1991)

Tanii、Tachikawa、Fujihira、Minato、Shimizu：“可饱和吸收体调制的 CO_2 激光的双模振荡中的不稳定性和混沌”物理评论 A. 43-1501 (1991)。

T. Shimizu: "Hysteresis loop in parameter variable phase space of a bimode CO_2 laser with satarable abserber" Proc, CLEO Pacific Rim. 51 (1997)

T. Shimizu：“具有可饱和吸收器的双模 CO_2 激光器的参数可变相空间中的磁滞回线”Proc，CLEO Pacific Rim。