Mercier Émeric, Even Armelle, Mirisola Elodie, Wolfersberger Delphine, Sciamanna Marc
OPTEL Research Group, Laboratoire Matériaux Optiques, Photonique et Systèmes, EA No. 4423, CentraleSupélec, 2 Rue Édouard Belin, 57070 Metz, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):042914. doi: 10.1103/PhysRevE.91.042914. Epub 2015 Apr 24.
Extreme intensity pulses sharing statistical properties similar to rogue waves have been recently observed in a laser diode with phase-conjugate feedback [A. Karsaklian Dal Bosco, D. Wolfersberger, and M. Sciamanna, Opt. Lett. 38, 703 (2013)], but remain unexplained. We demonstrate here that a rate equation model of a laser diode that includes an instantaneous phase-conjugate feedback field reproduces qualitatively well the statistical features of these extreme events as identified in the experiment, i.e., the deviation of the intensity statistics to a Gaussian-shape statistics and the statistics of the time separating extreme events. The numerical simulations confirm the importance of the feedback strength in increasing the number of such extreme events and allow us to explain how extreme events emerge from a sequence of bifurcations on self-pulsating solutions, the so-called external cavity modes.
最近在具有相位共轭反馈的激光二极管中观察到了具有与 rogue 波相似统计特性的极端强度脉冲 [A. Karsaklian Dal Bosco, D. Wolfersberger, and M. Sciamanna, Opt. Lett. 38, 703 (2013)]，但仍未得到解释。我们在此证明，包含瞬时相位共轭反馈场的激光二极管速率方程模型能够很好地定性再现实验中所识别出的这些极端事件的统计特征，即强度统计偏离高斯形状统计以及极端事件之间的时间统计。数值模拟证实了反馈强度在增加此类极端事件数量方面的重要性，并使我们能够解释极端事件是如何从自脉动解（即所谓的外腔模式）的一系列分岔中出现的。
