NONLINEAR OPTICAL PULSE PROPAGATION IN MULTIMODE WAVEGUIDES

Zimu Zhu
2020
Soliton solutions of the (1+1)D nonlinear Schrödinger equation have long been the focus of immense research effort, and have provided us with the foundation for a large portion of our current understanding of nonlinear optical phenomena, particularly in single-mode optical fiber. Today, single-mode fiber has entrenched itself as the primary workhorse in many applications, from fiber lasers to imaging techniques to telecommunications. However, as these technologies approach fundamental limits,
more » ... ltimode fiber has presented itself as a promising route toward further advances. Supporting many spatial eigenmodes, multimode fiber provides a method of achieving higher capacities in data transmission through space-division multiplexing, as well as larger mode areas for higher energy fiber laser sources and amplifiers. They are also interesting from a purely scientific point of view, as an ideal testbed for rich spatiotemporal nonlinear dynamics. In single mode fiber, solitons of the (1+1)D nonlinear Schrödinger equation occur when linear dispersion and the Kerr nonlinearity balance to produce localized pulses. While the literature on (1+1)D soliton dynamics is extensive, nonlinear dynamics in multimode fiber have been far less explored. Multiple spatial eigenmodes are supported, with intra-and intermodal contributions to the dispersion, and propagation involving both spatial and temporal degrees of freedom. Knowledge of multimode soliton properties would provide a basis for understanding complex nonlinear dynamics in multimode fiber in the same way that knowledge admire his ability to strike a balance between offering his students guidance and giving them the freedom to explore and grow on their own. An advisor like this is rare -he always puts his students first. I also admire his sense of principles, and his consistent effort in identifying not only what research can be done, but what is actually worth doing. Much thanks goes to the rest of the Wise group. It is a blessing to have shared this experience with such talented people. In particular, I thank Logan Wright for always bringing more to every conversation -new perspectives, ideas, and thoughts. Your capacity for thinking about problems and connecting ideas is astounding, your love and enthusiasm for what you do is something everyone can appreciate, and you are a role model for any aspiring scientist. I would like to thank Yuxing Tang, who is the most steady and level-headed PhD student I have ever met. Not only do you always have a positive outlook, you are always keen to share it with those around you. Walter Fu, a friend who I could always talk to about anything, research or otherwise, ask for help, and someone who is never shy to speak his mind. Pavel Sidorenko, the man with no shortage of skills and expertise, who can fix and build anything from scratch with ease, you inspire me to continue learning and not be shy to get my hands dirty. Of course there are many others, with whom I may not have had the opportunity to spend as much time:
doi:10.7298/6e7c-he37 fatcat:tmq6rqzqsvcpjcq3pntrpijele