Kanno Kazutaka, Uchida Atsushi
Department of Information and Computer Sciences, Saitama University, 255 Shimo-okubo, Sakura-ku, Saitama City, Saitama 338-8570, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Dec;86(6 Pt 2):066202. doi: 10.1103/PhysRevE.86.066202. Epub 2012 Dec 4.
Consistency of response in a system driven repeatedly by a complex signal has been observed in many nonlinear dynamical systems. We investigate the consistency of unidirectionally coupled semiconductor lasers with optical feedback and measure the complexity of the entire laser system by using the Lyapunov spectrum. The complexity strongly depends on the degree of consistency. It is found that the complexity of the coupled laser system can be classified into three regions. When the system shows consistency, the complexity of the entire laser system corresponds to that of the solitary drive laser. In the inconsistency region, the complexity of the entire laser system corresponds to the sum of the complexity of the uncoupled drive and response lasers. The complexity increases more than the sum of the two solitary lasers near the boundary of the consistency region, where new dynamical fluctuations appear due to the optical carrier interaction between the two lasers.
在许多非线性动力系统中，已经观察到由复杂信号反复驱动的系统中响应的一致性。我们研究了具有光反馈的单向耦合半导体激光器的一致性，并通过使用李雅普诺夫谱来测量整个激光系统的复杂性。复杂性强烈依赖于一致性程度。发现耦合激光系统的复杂性可分为三个区域。当系统表现出一致性时，整个激光系统的复杂性与孤立驱动激光器的复杂性相对应。在不一致区域，整个激光系统的复杂性与未耦合的驱动激光器和响应激光器的复杂性之和相对应。在一致性区域的边界附近，复杂性的增加超过了两个孤立激光器复杂性之和，在该边界处，由于两个激光器之间的光载波相互作用出现了新的动态波动。
