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首页> 外文会议>2014 IEEE Workshop on complexity in engineering >The incipit of complexity in self-coupled lasers (from deterministic behaviour to periodic oscillations and to chaos)
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The incipit of complexity in self-coupled lasers (from deterministic behaviour to periodic oscillations and to chaos)

机译：自耦合激光器的复杂性开始（从确定性行为到周期性振荡再到混乱）

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At the simplest level of implementation for an optical system, chaos and complexity are generated by the self-coupled laser configuration, when the field back-reflected from a remote target is allowed to re-enter the laser cavity. The delay of the go-and-return path is the parameter governing complexity, and together with the second-order cavity resonance and coupling of gain to amplitude and phase, gives rise to a number of characteristic phenomena at increasing coupling, such as perturbed deterministic behavior, onset of period-one and period-two bifurcations, and finally route to chaos. We present detailed results of the regimes found in a semiconductor laser subject to a minute (a few percent) back-reflection, as a function of strenght of coupling K, propagation delay, and alfa-factor (or linewidth broadening). The portrait of regimes in the K-ϕ plane, where ϕ=2ks is the phase of the field returning from target distance sand k=2π/λ is the wavevector, starts with unperturbed and period-l bands to proceed, as distance s is increased, to zones of periodic regime sandwiched with increasing chaos bands, up to the point that all the K-ϕ space is filled with chaos. Using the new results, we will revisit the Tchak and Chaprivly (T-C) diagram of self-coupling, that is commonly used to diagnose disturbance effects in laser diodes intended for optical fiber communications. We show that the T-C diagram unveils intricated overlap of regimes. We then conclude with a focus on the several applications of the high level dynamics to measurement of optical paths, cryptography for communication of sensible data, and to high speed random number generation for computer applications.
机译：在光学系统的最简单实现方式中，当允许从远程目标反向反射的场重新进入激光腔时，自耦合激光器的配置会产生混乱和复杂性。往返路径的延迟是控制复杂度的参数，再加上二阶腔谐振以及增益与幅度和相位的耦合，在耦合增加时会引起许多特征现象，例如扰动确定性行为，第一期和第二期分叉的发生，最后走向混乱。我们将介绍在半导体激光器中发生微小（百分之几）背反射的状态的详细结果，该状态取决于耦合K强度，传播延迟和阿尔法因子（或线宽加宽）。在K-ϕ平面中的状态图，其中ϕ = 2ks是从目标距离返回的场的相位，沙= k =2π/λ是波矢量，从无扰动的频带开始，随着距离s为增加到周期性的区域，并夹杂着增加的混沌带，直到所有K-ϕ空间都充满了混沌。使用新的结果，我们将回顾自耦合的Tchak和Chaprivly（T-C）图，该图通常用于诊断用于光纤通信的激光二极管中的干扰效应。我们证明了T-C图揭示了各种制度的错综重叠。然后，我们将重点介绍高级动力学在光路测量，用于敏感数据通信的密码学以及在计算机应用中高速随机数生成的几种应用。

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