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Elliptical billiard systems and chaotic micro-lasers

Zwiers, Rik Willem Harm (2020) Elliptical billiard systems and chaotic micro-lasers. Bachelor's Thesis, Physics.

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Abstract

This paper will discuss billiard systems, especially elliptical ones, with the main focus on finding the mean minimal action function $\alpha$ of these systems. This function plays a crucial role in understanding different rigidity phenomena that appear in the study of convex billiards and is also widely used in Aubrey-Mather theory. Billiard systems in general will be discussed before deriving the $\alpha$ function. These results will then be illustrated using an example of circular billiards. Then the elliptical billiard systems will be discussed in detail, the mean minimal action $\alpha$ will be derived and results will be compared with the circular billiards. Furthermore, chaotic micro-lasers will be covered, what they are, and how they are related to billiard systems.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Waalkens, H. and Palasantzas, G.
Degree programme: Physics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 21 Jul 2020 11:51
Last Modified: 21 Jul 2020 11:51
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/22767

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