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Article Dans Une Revue Applied Physics Letters Année : 2022

Gravitational lens effect revisited through membrane waves

Stefan Catheline
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Victor Delattre
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Frédéric Faure
Mathias Fink
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Résumé

By means of experiments and curved manifold simulations, we show that wave propagation past a topological deviation on a two-dimensional flat fabric membrane is analogous to gravitational lensing. Using an ultrafast camera, we track a membrane plane wave as it crosses a local warped depression. Finite difference simulation, based on the scalar wave equation in a Schwarzschild metric, fully describes the experimental wavefront shape. Comparison between the theoretical and experimental deviation of wave geodesics from straight lines shows that (i) the nonlinear behavior of fabrics due to stretching induces second order effects only and (ii) the experimental depression is closely approximated by the Schwarzschild metric of a gravity well. The experiment demonstrates, in a simple way, how wave propagation is influenced by the topology of the transmission medium.
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Dates et versions

inserm-04004542 , version 1 (24-02-2023)

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Stefan Catheline, Victor Delattre, Gabrielle Laloy-Borgna, Frédéric Faure, Mathias Fink. Gravitational lens effect revisited through membrane waves. Applied Physics Letters, 2022, 90, pp.47-50. ⟨10.1119/10.0006612⟩. ⟨inserm-04004542⟩
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