Talbot effect for the third order Lugiato-Lefever equation
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.
Fields of Study & Subjects
Advanced Optical Imaging Technologies
Photorefractive and Nonlinear Optics
Optical and Acousto-Optic Technologies
Publication details
- Journal / source
- Applicable Analysis
- Publisher
- Informa UK Limited
- Pages
- 1–19
- Publication date
- 25 June 2026
- Language
- EN