Talbot effect for the third order Lugiato-Lefever equation
Analysis of PDEs
2024-06-07 v2 Optics
Abstract
We discuss the Lugiato-Lefever equation and its variant with third-order dispersion, which are mathematical models used to describe how a light beam forms patterns within an optical cavity. It is mathematically demonstrated that the solutions of these equations follow the Talbot effect, which is a phenomenon of periodic self-imaging of an object under certain conditions of diffraction. The Talbot effect is regarded as the underlying cause of pattern formation in optical cavities.
Cite
@article{arxiv.2304.10964,
title = {Talbot effect for the third order Lugiato-Lefever equation},
author = {Gunwoo Cho and Seongyeon Kim and Ihyeok Seo},
journal= {arXiv preprint arXiv:2304.10964},
year = {2024}
}
Comments
20 pages