Exploring non-Euclidean photonics: Pseudosphere microlaser

Classical and wave properties of microlasers with the shape of a truncated pseudosphere are investigated through experiments and numerical simulations. These pseudosphere microlasers are surface-like organic microlasers with constant negative curvature, which were fabricated with high optical quality by direct laser writing. It is shown that they behave, in many ways, similar to two-dimensional flat disks, regardless of their different Gaussian curvature. We derive the monodromy matrices for geodesics on the pseudosphere and demonstrate that the periodic geodesics are marginally stable. Actually, due to the rotational symmetry, the pseudosphere is an integrable system with marginally stable dynamics.

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Publication Details

Journal
Physical review. A/Physical review, A
Published
2025-04-09
DOI
https://doi.org/10.1103/physreva.111.043512
Citations
1
Primary Topic
Photonic and Optical Devices
Type
article
Field-Weighted Citation Impact
0.73

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Exploring non-Euclidean photonics: Pseudosphere microlaser

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Exploring non-Euclidean photonics: Pseudosphere microlaser

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article en
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Abstract

Classical and wave properties of microlasers with the shape of a truncated pseudosphere are investigated through experiments and numerical simulations. These pseudosphere microlasers are surface-like organic microlasers with constant negative curvature, which were fabricated with high optical quality by direct laser writing. It is shown that they behave, in many ways, similar to two-dimensional flat disks, regardless of their different Gaussian curvature. We derive the monodromy matrices for geodesics on the pseudosphere and demonstrate that the periodic geodesics are marginally stable. Actually, due to the rotational symmetry, the pseudosphere is an integrable system with marginally stable dynamics.

Physical review. A/Physical review, AVol. 111(4)
Bar-Ilan University (IL), Université Paris Cité (FR), Université Paris-Saclay (FR), École Normale Supérieure - PSL (FR), Sorbonne Université (FR), Université Sorbonne Paris Nord (FR), Sorbonne Paris Cité (FR), Centre de Nanosciences et de Nanotechnologies (FR), Laboratoire Analyse, Géométrie et Applications (FR), Institute for Basic Science (KR), CentraleSupélec (FR), Laboratoire Matériaux Optiques, Photonique et Systèmes (FR), Korea University of Science and Technology (KR), Université de Lorraine (FR)
Agence Nationale de la Recherche, Institute for Basic Science, European Regional Development Fund
Openalex Percentile: Top 30%
Photonic and Optical Devices
0.73
DOIOpen Access PDFOpenAlex
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