Underlying nonlinear science of hybrid SOA-fiber laser systems with feedback

超快激光不仅在光子科学和技术的发展中起着重要的作用，而且为研究非线性波动动力学提供了理想的实验平台，包括各种不稳定性，相干结构的出现，如孤子，呼吸子，光学涡旋等，相干结构与噪声的相互作用以及许多其他非线性现象。在这个项目中，我们研究混合SOA-光纤激光器，其中半导体光放大器（SOA）的宽带增益与长光纤腔的组合可以导致远离平衡的集体现象，包括由大量腔模之间的非线性相互作用引起的实际重要的锁模。RSF-DFG联合项目汇集了激光、非线性科学和光纤（俄罗斯新西伯利亚州立大学）、半导体和混合激光器数学建模以及延迟反馈系统理论（柏林维尔斯特拉斯研究所）方面的世界领先专家。该项目旨在从理论，数值和实验上研究混合SOA光纤激光器中最初不规则噪声场的相干性和相干结构的非线性成形。混合非线性放大环镜锁模（ML）激光器，Mamyshev振荡器，ML激光器与延迟反馈，庞加莱映射方法和时间延迟方程的基础上，新的数学模型将开发和分析数值和使用渐近技术。相干结构的形成将根据熵以及泵浦到激光系统中的能量与熵之间的平衡来量化，这塑造了ML激光器的行为。 机器学习方法将应用于设计具有优化输出脉冲特性的“智能SOA光纤激光器设计”。混合SOA光纤激光器中两种重要光子技术的拟议组合，以及最近开发的激光物理，应用数学，非线性科学和光学工程方法的结合，将产生跨学科的学术影响，使该项目对物理，数学和工程社区感兴趣。混合激光器动力学的理论分析将与新西伯利亚州立大学的实验小组（由S. Turitsyn），耶拿的莱布尼茨光子技术研究所（由M。Chernysheva）和尼斯生理研究所（Institut de Physique de Nice）（由G. Huyet）。除了基本的重要性，超快激光器的非线性物理支撑着许多实用设备的操作，为不同的科学和技术领域提供了通用的方法和创新的新概念。

Ultra-fast lasers both play a major role in the progress of photonic science and technology and also provide an ideal experimental test-bed for the study of nonlinear wave dynamics, including a variety of instabilities, emergence of coherent structures, such as solitons, breathers, optical vortices and others, interaction of coherent structures with noise, and many other nonlinear phenomena. In this project we study hybrid SOA-fiber lasers, where a combination of a broadband gain of semiconductor optical amplifier (SOA) with a long fiber cavity can lead to far-from-equilibrium collective phenomena, including practically important mode-locking resulting from the nonlinear interactions between a huge number of cavity modes. The joint RSF-DFG project brings together world-leading experts in lasers, nonlinear science and fiber-optics (Novosibirsk State University, Russia), mathematical modeling of semiconductor and hybrid lasers and theory of systems with delayed feedback (Weierstrass Institute, Berlin). The project aims at the theoretical, numerical and experimental investigation of emergence of coherence from an initially irregular noise field and nonlinear shaping of coherent structures in hybrid SOA-fiber lasers. New mathematical models of hybrid nonlinear-amplifying loop-mirror mode-locked (ML) lasers, Mamyshev oscillators, and ML lasers with delayed feedback, based on the Poincare mapping approach and time delay equations, will be developed and analyzed numerically and using asymptotic techniques. The formation of coherent structures will be quantified in terms of entropy and a balance between energy pumped into the laser system and entropy, which shapes the behavior of ML lasers. The machine learning methods will be applied to design “smart SOA-fiber laser designs” with optimized output pulse characteristics. The proposed combination of two important photonic technologies in hybrid SOA-fiber lasers and bringing together recently developed methods of laser physics, applied mathematics, nonlinear science, and optical engineering will produce an interdisciplinary academic impact making this project interesting to physical, mathematical and engineering communities. Theoretical analysis of the dynamics of hybrid lasers will be performed in a close collaboration with the experimental groups in Novosibirsk State University (led by Prof. S. Turitsyn), Leibniz Institute of Photonic Technology in Jena (led by Dr. M. Chernysheva) and Institut de Physique de Nice (led by Prof. G. Huyet). Apart from the fundamental importance, the nonlinear physics of the ultra-fast lasers underpins the operation of numerous practical devices, offering generic methodology across different areas of science and technology and new concepts for innovation.