Rebecca Bryant 501 Presentation

Title: A reduced model for transverse mode instability in fiber laser amplifiers

Abstract:
High-power fiber laser amplifiers have many applications across various fields such as defense, communication, and astronomical research. One commonly used model for simulating light propagation in a fiber laser amplifier is the coupled mode theory (CMT) transverse mode instability (TMI) model. Though the CMT TMI model accurately describes physical phenomena occurring in a fiber laser amplifier, numerical simulation of the model is highly computationally expensive. Conveniently, a reduced CMT TMI model has recently been formulated and published in the literature. This reduced model mitigates the high computational expense and slow runtimes of the full CMT TMI model by strategically eliminating terms in the full model governing equations under the authority of "phase-matching." This mathematical literature project focuses on deriving the reduced model and providing mathematical justification for the reduction technique used in the reduced model paper.