Zwiers, Rik Willem Harm (2020) Elliptical billiard systems and chaotic micro-lasers. Bachelor's Thesis, Mathematics.
|
Text
bMATH_2020_ZwiersRWH.pdf Download (1MB) | Preview |
|
![[img]](https://fse.studenttheses.ub.rug.nl/style/images/fileicons/text.png) |
Text
toestemming.pdf Restricted to Registered users only Download (94kB) |
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: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 21 Jul 2020 11:49 |
| Last Modified: | 21 Jul 2020 11:49 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/22766 |
Actions (login required)
 |
View Item |