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Talbot effect for the third order Lugiato-Lefever equation
[Submitted on 21 Apr 2023 (v1), last revised 17 Jun 2026 (this v · 2026-06-18 · via math updates on arXiv.org

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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.

Submission history

From: Seongyeon Kim [view email]
[v1] Fri, 21 Apr 2023 14:03:48 UTC (16 KB)
[v2] Thu, 6 Jun 2024 03:03:35 UTC (16 KB)
[v3] Wed, 17 Jun 2026 10:30:24 UTC (17 KB)