Date of Award

3-13-2020

Document Type

Thesis

Degree Name

Bachelor of Science (B.S.) in Mathematics and University Honors

Department

Mathematics

First Advisor

Jay Gopalakrishnan

Subjects

Fiber optic cables -- Design and construction, Power amplifiers -- Applications to fiber optic cables, Power amplifiers -- Mathematical models

DOI

10.15760/honors.849

Abstract

Transverse mode instability in fiber optic cables causes power amplification to exhibit chaotic behavior. Due to this, numerical modeling of fiber optic power amplification is extremely computationally expensive. In this paper I work through modeling similar behavior in a simpler system. I also visualize the three-dimensional phase portrait of the system in order to better understand the behavior and hopefully relate it to more well-understood problems.

Persistent Identifier

https://archives.pdx.edu/ds/psu/32557

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