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Optics in Curved Space

 
: Schultheiss, V.H.; Batz, S.; Szameit, A.; Dreisow, F.; Nolte, S.; Tünnermann, A.; Longhi, S.; Peschel, U.

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Physical review letters 105 (2010), No.14, Art. 143901, 4 pp.
ISSN: 0031-9007
ISSN: 1079-7114
English
Journal Article
Fraunhofer IOF ()
black-hole evaporation; wave-guide array; soliton; light

Abstract
We experimentally study the impact of intrinsic and extrinsic curvature of space on the evolution of light. We show that the topology of a surface matters for radii of curvature comparable with the wavelength, whereas for macroscopically curved surfaces only intrinsic curvature is relevant. On a surface with constant positive Gaussian curvature we observe periodic refocusing, self-imaging, and diffractionless propagation. In contrast, light spreads exponentially on surfaces with constant negative Gaussian curvature. For the first time we realized two beam interference in negatively curved space.

: http://publica.fraunhofer.de/documents/N-143400.html