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Wavefront sensing for single view three-component three-dimensional flow velocimetry

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Abstract

We present the application of wavefront sensing to particle image velocimetry for three-component (3C), three-dimensional (3D) flow measurement from a single view. The technique is based upon measuring the wavefront scattered by a tracer particle and from that wavefront the 3D tracer location can be determined. Hence, from a temporally resolved sequence of 3D particle locations the velocity vector field is obtained. Two approaches to capture the data required to measure the wavefronts are described: multi-planar imaging using a distorted diffraction grating and an anamorphic technique. Both techniques are optically efficient, robust and compatible with coherent and incoherent scattering from flow tracers. The depth (range) resolution and repeatability have been quantified experimentally using a single mode fiber source representing a tracer particle. The anamorphic approach is shown to have the greatest measurement range and hence was selected for the first proof of principle experiments using this technique for 3D particle imaging velocimetry (PIV) on a sparsely seeded gas phase flow.

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References

  • Arroyo MP, Greated CA (1991) Stereoscopic particle image velocimetry. Measurement Science Technology 2:1181–1186

    Article  Google Scholar 

  • Barakat R, Newsam G (1984) J Math Phys 25:3190–3193

    Article  MathSciNet  Google Scholar 

  • Barnhart DH, Halliwell NA, Coupland JM (2002) Object conjugate reconstruction (OCR): a step forward in holographic metrology. Proc R Soc A 458:2083–2098

    Google Scholar 

  • Blanchard PM, Greenaway AH (1999) Simultaneous multiplane imaging with a distorted diffraction grating. Appl Opt 38(32):6692–6699

    Google Scholar 

  • Blanchard PM, Fisher DJ, Woods SC, Greenaway AH (2000) Phase diversity wave-front sensing with a distorted diffraction grating. Appl Opt 39(35):6649–6655

    Article  Google Scholar 

  • Brücker C (1997) 3D Scanning PIV applied to an air flow in a motored engine using digital high-speed video. Meas Fluids 8:1480–92

    Google Scholar 

  • Djidel S, Greenaway AH (2002) Nanometric wave-front metrology in Adaptive optics for industry and medicine. In: Restaino SR, Teare SW (eds) Starline, Albuquerque, pp. 213–219

  • Goncharov AV, Dainty JC, Esposito S, Puglisi A (2005) Laboratory MCAO test-bed for developing wavefront sensing concepts. Opt Express 13(14):5580

    Article  Google Scholar 

  • Gureyev TE, Roberts A, Nugent KA (1995) Phase retrieval with the transport of intensity equation: matrix solution with use of zernike polynomials. JOSA A 12(9):1932

    MathSciNet  Google Scholar 

  • Gureyev TE, Nugent KA (1996) Phase retrieval with the transport of intensity equation ii: orthogonal series solution for non-uniform illumination. JOSA A 13(8):1670

    Article  Google Scholar 

  • Lawson NJ, Wu J (1997) Three-dimensional particle image velocimetry: experimental error analysis of a digital angular stereoscopic system. Meas Sci Technol 8:1455–1464

    Article  Google Scholar 

  • Pereira F, Gharib M, Dabiri D, Modarress D (2000) Defocussing digital particle image Velocimetry: a 3-component 3-dimensional DPIV measurement technique, application to bubbly flows. Exp Fluids 29:S78–S84

    Article  Google Scholar 

  • Platt BC, Shack R (2001) History and principles of Shack–Hartmann wavefront sensing. J Refract Surg 17:S573

    Google Scholar 

  • Santiago JG, Wereley ST, Meinhart C, Beebee BJ, Adrian RJ (1998) A PIV system for microfluidics. Exp Fluids 25:316–319

    Article  Google Scholar 

  • Towers CE, Towers DP, Campbell HI, Zhang S, Greenaway AH (2006) Three dimensional particle imaging by wave-front sensing. Opt Lett 31(9):1220–1222

    Article  Google Scholar 

  • Wyant JC, Creath K (1992) Basic wavefront aberration theory for optical metrology. In: Applied optics and optical engineering, chap 1, vol XI. Academic, New York. ISBN 0-12-408611-X

Download references

Acknowledgments

The authors would like to thank the Engineering and Physical Sciences Research Council (EPSRC, UK) for funding under grant reference GR/S61720/01. The work was partially funded by a grant from PPARC under the Smart Optics Faraday Partnership with additional DSTL funding. HIC acknowledges support from EPSRC and UK ATC.

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Correspondence to D. P. Towers.

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Angarita-Jaimes, N., McGhee, E., Chennaoui, M. et al. Wavefront sensing for single view three-component three-dimensional flow velocimetry. Exp Fluids 41, 881–891 (2006). https://doi.org/10.1007/s00348-006-0204-z

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  • DOI: https://doi.org/10.1007/s00348-006-0204-z

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