Scattering of Co-Current Surface Waves on an Analogue Black Hole
Scattering of co-current surface waves on an analogue black hole L´eo-Paul Euv´e,1 Scott Robertson,2 Nicolas James,3 Alessandro Fabbri,4, 5, 2 and Germain Rousseaux6 1Laboratoire de Physique et M´ecanique des Milieux H´et´erog`enes(UMR 7636), ESPCI, Universit´ePSL, CNRS, Sorbonne Universit´e, Univ. Paris Diderot, 10 rue Vauquelin, 75321 Paris Cedex 05, France 2Universit´eParis-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France 3Laboratoire de Math´ematiqueset Applications (UMR 7348), CNRS{Universit´ede Poitiers, 11 Boulevard Marie et Pierre Curie{T´el´eport 2{BP 30179, 86962 Futuroscope Chasseneuil Cedex, France 4Departamento de F´ısica Te´orica and IFIC, Centro Mixto Universidad de Valencia{CSIC, C. Dr. Moliner 50, 46100 Burjassot, Spain 5Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche Enrico Fermi, Piazza del Viminale 1, 00184 Roma, Italy 6Institut Pprime (UPR 3346), CNRS{Universit´ede Poitiers{ISAE ENSMA, 11 Boulevard Marie et Pierre Curie{T´el´eport 2{BP 30179, 86962 Futuroscope Chasseneuil Cedex, France (Dated: April 9, 2020) We report on what is to our knowledge the first scattering experiment of surface waves on an accelerating transcritical flow, which in the Analogue Gravity context is described by an effective spacetime with a black-hole horizon. This spacetime has been probed by an incident co-current wave, which partially scatters into an outgoing counter-current wave on each side of the horizon. The measured scattering amplitudes are compatible with the predictions of the hydrodynamical theory, where the kinematical description in terms of the effective metric is exact.
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