M\"obius Strip Microlasers: a Testbed for Non-Euclidean Photonics
Yalei Song, Yann Monceaux, Stefan Bittner, Kimhong Chao, H\'ector M., Reynoso de la Cruz, Cl\'ement Lafargue, Dominique Decanini, Barbara Dietz,, Joseph Zyss, Alain Grigis, Xavier Checoury, and Melanie Lebental

TL;DR
This paper explores M"obius strip microlasers, demonstrating their unique non-orientable geometry affects resonance modes, with experimental and simulation evidence showing localization on geodesics, advancing non-Euclidean photonics research.
Contribution
It introduces high-quality fabricated M"obius strip microlasers and reveals their distinct resonance behavior, contrasting with conventional resonators, supported by experimental and simulation data.
Findings
M"obius strip microlasers cannot sustain whispering gallery modes.
Resonances are localized on periodic geodesics.
Experimental results align with 3D FDTD simulations.
Abstract
We report on experiments with M\"obius strip microlasers which were fabricated with high optical quality by direct laser writing. A M\"obius strip, i.e., a band with a half twist, exhibits the fascinating property that it has a single nonorientable surface and a single boundary. We provide evidence that, in contrast to conventional ring or disk resonators, a M\"obius strip cavity cannot sustain whispering gallery modes (WGM). Comparison between experiments and 3D finite difference time domain (FDTD) simulations reveals that the resonances are localized on periodic geodesics.
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