Möbius Strip Microlasers: A Testbed for Non-Euclidean Photonics

Song, Yalei; Monceaux, Yann; Bittner, Stefan; Chao, Kimhong; Cruz, H. M. Reynoso-de la; Lafargue, Clément; Decanini, D.; Dietz, Barbara; Zyss, Joseph; Grigis, Alain; Checoury, X.; Lebental, M.

doi:10.1103/physrevlett.127.203901

Cited by 21 publications

(17 citation statements)

References 38 publications

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“…In a curved space, the traditional ray dynamics assuming straight light trajectories no longer applies, and the proper light trajectories are the geodesic lines determined by the space metric tensor, ensuring the optical length of the extremum it passes 41 . In comparison with flat 2D surfaces, curved 2D surfaces can be classified into two categories: the ones that can and cannot be unfolded to become flat surfaces.…”

Section: Resultsmentioning

confidence: 99%

Manipulating cavity photon dynamics by topologically curved space

et al. 2022

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Asymmetric microcavities supporting Whispering-gallery modes (WGMs) are of great significance for on-chip optical information processing. We establish asymmetric microcavities on topologically curved surfaces, where the geodesic light trajectories completely reconstruct the cavity mode features. The curvature-mediated photon-lifetime engineering enables the enhancement of the quality factors of periodic island modes by up to 200 times. Strong and weak coupling between modes of very different origins occurs when the space curvature brings them into resonance, leading to fine tailoring of the cavity photon energy and lifetime and the observation of non-Hermitian exceptional point (EP). At large space curvatures, the role of the WGMs is replaced by high-Q periodic modes protected by the high stability of island-like light trajectory. Our work demonstrates interesting physical mechanisms at the crosspoint of optical chaotic dynamics, non-Hermitian physics, and geodesic optical devices, and would initiate the novel area of geodesic microcavity photonics.

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Section: Resultsmentioning

confidence: 99%

Manipulating cavity photon dynamics by topologically curved space

et al. 2022

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“…Meanwhile, the size of the structure, up to a dimeter of more than 8μm, is 6 to 8 times larger than the standard microlens, making it suitable for WGM microcavities at optical wavlengths. There are several other reported methods for fabricating 3D curved structures, such as direct laser writing for Mobius trip microlasers 41 , 3D printing for geodesic lenses 48,49 , and focused ion beam (FIB) etching for microscale concave mirrors 50 , which are also promising techniques for fabricating the curved cavity. In comparison, the EBL-reflow-ICP method adopts standard nanofabrication technologies on inorganic semiconductor substrates without deteriorating the optical properties of the material, which is essential for achieving semiconductor microlasers compatible with other on-chip photonic devices.…”

Section: Resultsmentioning

confidence: 99%

“…In a curved space, the traditional ray dynamics assuming straight light trajectories no longer applies, and the proper light trajectories are the geodesic lines determined by the space metric tensor, ensuring the optical length of extremum it passes 41 . In comparison with flat 2D surfaces, curved 2D surfaces can be classified into two categories: the ones that can and cannot be unfolded to become a flat surface.…”

Section: The Model and Associated Definitionsmentioning

confidence: 99%

Manipulating cavity photon dynamics by topologically curved space

Feng

Wang

et al. 2022

Preprint

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Asymmetric microcavities supporting Whispering-gallery modes (WGMs) are of great significance for on-chip optical information processing. We establish asymmetric microcavities on topologically curved surfaces, where the geodesic light trajectories completely reconstruct the cavity mode features. The curvature-mediated photon lifetime engineering enables the enhancement of the quality factors of periodic island modes by up to 200 times. Strong and weak coupling between modes of very different origins occur when the space curvature brings them into resonance, leading to a fine tailoring of the cavity photon energy and lifetime and the observation of non-Hermitian exceptional point (EP). At large space curvatures, the role of the WGMs is replaced by high-Q periodic modes protected by the high stability of island-like light trajectory. Our work demonstrates interesting physical mechanism at the crosspoint of optical chaotic dynamics, non-Hermitian physics and geodesic optical devices, and would initiate the novel area of geodesic microcavity photonics.

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“…Ever since this innovative notion was brought up by Batz and Peschel ( 2 ), electromagnetic (EM) dynamics and wave propagation on 2D curved surfaces have been prosperously developed both theoretically ( 3 – 10 ) and experimentally ( 11 – 15 ). On the other hand, GR notions could reciprocally contribute to the engineering of nanophotonic devices ( 15 , 16 ) and transformation optical designs, ranging from EM invisible cloaks ( 17 , 18 ) to perfectly focusing lenses ( 19 – 21 ), based on manipulation of the curved geodesic paths.…”

Section: Introductionmentioning

confidence: 99%

Light chaotic dynamics in the transformation from curved to flat surfaces

Xu¹,

Dana²,

Wang³

et al. 2022

Proc. Natl. Acad. Sci. U.S.A.

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Significance Exploring light dynamics and chaos on curved surfaces is one of the new challenges met in modern cosmology. To address this question and investigate chaotic dynamics of light on three-dimensional curved surfaces, we consider their connection under a conformal transformation with flat billiards with spatially varying refractive index. Through this connection, we demonstrate that these two systems share the same dynamics; the complexity of the problem simplifies, and well-known tools originating from chaos analysis in planar billiards can be used to explore chaotic dynamics on curved space. We discover that the degree of chaos is fully controlled by a single curvature-related geometrical parameter, providing a degree of freedom in chaos engineering, as well as potentialities to design nonuniform table billiards/cavities/resonators.

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Möbius Strip Microlasers: A Testbed for Non-Euclidean Photonics

Cited by 21 publications

References 38 publications

Manipulating cavity photon dynamics by topologically curved space

Manipulating cavity photon dynamics by topologically curved space

Manipulating cavity photon dynamics by topologically curved space

Light chaotic dynamics in the transformation from curved to flat surfaces

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