Global measurement of water waves by Fourier transform profilometry |
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| Authors: | Pablo Javier Cobelli Agnès Maurel Vincent Pagneux Philippe Petitjeans |
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| Institution: | (1) Laboratoire de Physique et Mécanique des Milieux Hétérogènes, UMR CNRS 7636, école Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, 75231 Paris Cedex 05, France;(2) Laboratoire Ondes et Acoustique, UMR CNRS 7587, école Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, 75231 Paris Cedex 05, France;(3) Laboratoire d’Acoustique de l’Université du Maine, UMR CNRS 6613, Avenue Olivier Messiaen, 72085 Le Mans Cedex 9, France |
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| Abstract: | In this paper, we present an optical profilometric technique that allows for single-shot global measurement of free-surface
deformations. This system consists of a high-resolution system composed of a videoprojector and a digital camera. A fringe
pattern of known characteristics is projected onto the free surface and its image is registered by the camera. The deformed
fringe pattern arising from the surface deformations is later compared to the undeformed (reference) one, leading to a phase
map from which the free surface can be reconstructed. Particularly, we are able to project wavelength-controlled sinusoidal
fringe patterns, which considerably increase the overall performance of the technique and the quality of the reconstruction
compared to that obtained with a Ronchi grating. In comparison to other profilometric techniques, it allows for single-shot
non-intrusive measurement of surface deformations over large areas. In particular, our measurement system and analysis technique
is able to measure free surface deformations with sharp slopes up to 10 with a 0.2 mm vertical resolution over an interrogation
window of size 450 × 300 mm2 sampled on approximately 6.1 × 106 measurement points. Some illustrative examples of the application of this measuring system to fluid dynamics problems are
presented.
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