Talbot effect for the third order Lugiato-Lefever equation

2023/04/21 by Cho, Gunwoo, Kim, Seongyeon, Seo, Ihyeok
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Optics (physics.optics)

paper · doi:10.48550/arxiv.2304.10964

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.

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