Year: 2026
Type: article
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. 2020 Mathematics Subject Classification. Primary: 35B45; Secondary: 35B10.
Source: Applicable Analysis
Authors: Gunwoo Cho, Seongyeon Kim, Ihyeok Seo
Institutions: Sungkyunkwan University, Jeonju University
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Award: G3788610479
OpenAlex ID: W4366835618