Accelerated Coupled Mode Model for Fiber Laser Amplifiers as an Averaged Dynamical System

TL;DR

This paper introduces an accelerated coupled mode model for fiber laser amplifiers using averaging theory, achieving significant computational speedup while maintaining accuracy, and broadening applicability across different amplifier configurations.

Contribution

A mathematically justified accelerated model for fiber laser amplifiers based on averaging theory, enhancing speed and versatility over existing models.

Findings

Achieves approximately 4000x computational speedup.

Maintains high accuracy in output power and amplification efficiency.

Extends applicability to a wider range of amplifier types.

Abstract

We apply a known theorem for simplifying dynamical systems with bounded error to a specific optical fiber waveguide problem, supplementing the physical intuition and heuristics used in the optics community with proper mathematical justification. Using techniques from averaging theory of dynamical systems, a reliable accelerated model based on the coupled mode theory (CMT) approach for a common fiber laser amplifier application is derived. Computational testing reveals that this accelerated model achieves an ${\sim}4000$x increase in computational speed compared to the CMT model while preserving a high accuracy in key figures-of-merit such as output power and amplification efficiency. Further, we argue that by adopting our recommended approximations within the reduced model framework enables the model to be applied a wider set of amplifier types and configurations than can the current (comparable) reduced models found in the literature.