Nonlinear Dynamics in Semiconductor Lasers Due to Filtered Optical Feedback: Fundamental Issues, and Applications to Chaotic Encryption and Signal Routing

该建议提出了一个为期三年的计划，研究二极管激光器中的非线性动力学，所产生的过滤光学反馈（FOF）。FOF与传统反馈（COF）的不同之处在于，反馈光在耦合回激光器之前由激光器外部的光学元件进行光谱滤波。与COF相比，FOF的动态变化相当引人注目;更重要的是，该提案提供了FOF如何用于控制激光器动态的明确证据。这种控制可以用来迫使激光器进入动态相空间的区域，在那里它表现出所需的动态responses.In除了基本的科学问题，是固有的FOF在二极管激光器，控制能力的应用对两端将进行探讨。这些是混沌加密和信号路由。在前者的情况下，重点将是使激光的波长混沌，然后控制混沌波动的带宽。这项工作的直接影响将是电信系统，以及对全光通信系统至关重要的基础设施。该项目的成功完成可能会刺激电信行业将FOF视为定制二极管激光器动态响应的可能控制机制。更广泛的影响将是对激光动力学社区，特别是那些正在研究COF，光学注入和二极管激光器分叉等问题的人。此外，由于FOF是逻辑映射的一个原型实验室示例，也是依赖于时滞方程的数学模型的测试平台，因此预计应用数学和非线性动力学社区将受到这项工作的影响。

This proposal proposes a three year program of studies on nonlinear dynamics in diode lasers that arise from filtered optical feedback (FOF). FOF differs from conventional feedback (COF) in that the feedback light is spectrally filtered by an optical element that is external to the laser, before coupling back into the laser. The alterations in the dynamics due to FOF, when compared to COF are quite dramatic; more significantly, the proposal provides clear evidence of how FOF can be used to control the dynamics of the laser. Such control can be used to force the laser into regions of the dynamical phase space where it exhibits a desired dynamical response.In addition to the fundamental scientific issues that are inherent to FOF in diode lasers, the application of the control capability towards two ends will be explored. These are chaotic encryption and signal routing. In case of the former, the emphasis will be on making the wavelength of the laser light chaotic, and then controlling the bandwidth of the chaotic fluctuations. The direct impact of the work will be on telecom systems, and the infrastructure that is critical to all-optical communication systems. A successful completion of the project may spur the telecommunications industry to view FOF as a possible control mechanism for tailoring the dynamical response of diode lasers. The broader impact will be on the laser dynamics community, and especially those that are studying issues like COF, optical injection, and bifurcations in diode lasers. In addition, because FOF is a prototypical laboratory example of logistic maps, and a test bed for mathematical models that rely on time-delayed equations, it's anticipated that the applied mathematics and nonlinear dynamics community will be influenced by this work.