# Three-dimensional microscopic light field particle image velocimetry

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## Abstract

A microscopic particle image velocimetry (\(\mu \text {PIV}\)) technique is developed based on light field microscopy and is applied to flow through a microchannel containing a backward-facing step. The only hardware difference from a conventional \(\mu\)PIV setup is the placement of a microlens array at the intermediate image plane of the microscope. The method combines this optical hardware alteration with post-capture computation to enable 3D reconstruction of particle fields. From these particle fields, we measure three-component velocity fields, but find that accurate velocity measurements are limited to the two in-plane components at discrete depths through the volume (i.e., 2C-3D). Results are compared with a computational fluid dynamics simulation.

## Keywords

Particle Image Velocimetry Point Spread Function Light Field Particle Tracking Velocimetry Microlens Array## Notes

### Acknowledgements

This material is based upon work supported by the National Science Foundation under Grant No. 1126862. JB gratefully acknowledges funding from the Office of Naval Research under task number N0001413WX20545 monitored by program officer Dr. Ronald Joslin (ONR Code 333).

## References

- Belden J, Pendlebury J, Jafek A, Truscott TT (2014) Advances in light field imaging for measurement of fluid mechanical systems. Dynamic data-driven environmental systems science (DyDESS) conferenceGoogle Scholar
- Belden J, Truscott TT, Axiak MC, Techet AH (2010) Three-dimensional synthetic aperture particle image velocimetry. Meas Sci Technol 21:125403CrossRefGoogle Scholar
- Bown MR, MacInnes JM, Allen RWK, Zimmerman WBJ (2006) Three-dimensional, three-component velocity measurements using stereoscopic micro-piv and ptv. Meas Sci Technol 17:2175–2185CrossRefGoogle Scholar
- Chen S, Angarita-Jaimes N, Angarita-Jaimes D, Pelc B, Greenaway AH, Towers CE, Lin D, Towers DP (2009) Wavefront sensing for three-component three-dimensional flow velocimetry in microfluidics. Exp Fluids 47(4–5):849–863CrossRefGoogle Scholar
- Cierpka C, Segura R, Hain R, Kähler C (2010) A simple single camera 3c3d velocity measurement technique without errors due to depth of correlation and spatial averaging for microfluidics. Meas Sci Technol 21(4):045401CrossRefGoogle Scholar
- Cierpka C, Kaehler CJ (2012) Particle imaging techniques for volumetric three-component (3d3c) velocity measurements in microfluidics. J Vis 15:1–31CrossRefGoogle Scholar
- Elsinga GE, Scarano F, Wieneke B (2006) Tomographic particle image velocimetry. Exp Fluids 41(6):933–947CrossRefGoogle Scholar
- Fouras A, Jacono DL, Nguyen CV, Hourigan K (2009) Volumetric correlation piv: a new technique for 3d velocity vector field measurement. Exp Fluids 47:569CrossRefGoogle Scholar
- Galbraith W (1955) The optical measurement of depth. Q J Microsc Sci 3(35):285–288Google Scholar
- Kähler CJ, Scharnowski S, Cierpka C (2012) On the uncertainty of digital piv and ptv near walls. Exp Fluids 52:1641–1656CrossRefGoogle Scholar
- Kim H, Grosse S, Elsinga G, Westerweel J (2011) Full 3d–3c velocity measurement inside a liquid immersion droplet. Exp Fluids 51:395–405CrossRefGoogle Scholar
- Kim H, Westerweel J, Elsinga GE (2012) Comparison of tomo-piv and 3d-ptv for microfluidic flows. Meas Sci Technol 24(2):024007CrossRefGoogle Scholar
- Levoy M (2006) Light fields and computational imaging. IEEE Comput 39(8):46–55CrossRefGoogle Scholar
- Levoy M, Hanrahan P (1996) Light field rendering. ACM SIGGRAPH, pp 31–42Google Scholar
- Levoy M, Ng R, Adams A, Footer M, Horowitz M (2006) Light field microscopy. ACM Trans Graph 25(3):924–934CrossRefGoogle Scholar
- Lima R, Wada S, Tanaka S, Takeda M, Ishikawa T, Tsubota KI, Imai Y, Yamaguchi T (2007) In vitro blood flow in a rectangular pdms microchannel: experimental observations using a confocal micro-piv system. Biomed Microdev 10(2):153–167CrossRefGoogle Scholar
- Lindken R, Westerweel J, Wieneke B (2006) Stereoscopic micro particle image velocimetry. Exp Fluids 41:161–171CrossRefGoogle Scholar
- Lindken R, Rossi M, Grosse S, Westerweel J (2009) Micro-particle image velocimetry: recent developments, applications, and guidlines. Lab Chip 9:2551–2567CrossRefGoogle Scholar
- Lynch K (2011) Development of a 3-d fluid velocimetry technique based on light field imaging. Master’s thesis, Auburn UniversityGoogle Scholar
- Lynch K, Fahringer T, Thurow B (2012) Three-dimensional particle image velocimetry using a plenoptic camera. In: 50th AIAA Aerospace Sciences Meeting. Nashville, TNGoogle Scholar
- Ng R, Levoy M, Bredif M, Duval G, Horowitz M, Hanrahan P (2005) Light field photography with a hand-held plenoptic camera. Stanford Tech ReportGoogle Scholar
- Ooms T, Lindken R, Westerweel J (2009) Digital holographic microscopy applied to measurement of a flow in a t-shaped micromixer. Exp Fluids 47(6):941–955CrossRefGoogle Scholar
- Park JS, Choi CK, Kihm KD (2004) Optically sliced micro-piv using confocal laser scanning microscopy (clsm). Exp Fluids 37:105–119CrossRefGoogle Scholar
- Pereira F, Gharib M (2002) Defocusing digital particle image velocimetry and the three-dimensional characterization of two-phase flows. Meas Sci Technol 13(5):683CrossRefGoogle Scholar
- Pereira F, Gharib M, Dabiri D, Modarress D (2000) Defocusing digital particle image velocimetry: a 3-component 3-dimensional dpiv measurement technique. Application to bubbly flows. Exp Fluids 29(1):S078–S084Google Scholar
- Pereira F, Lu J, Castano-Graff E, Gharib M (2007) Microscale 3d flow mapping with \(\mu\)ddpiv. Exp fluids 42(4):589–599CrossRefGoogle Scholar
- Peterson SD, Chuang H-S, Wereley ST (2008) Three-dimensional particle tracking using micro-particle image velocimetry hardware. Meas Sci Technol 19(11):115406CrossRefGoogle Scholar
- Sveen KJ (2004) An introduction to MatPIV v.1.6.1 Preprint series. Mechanics and Applied MathematicsGoogle Scholar
- Sheng J, Malkiel E, Katz J (2006) Digital holographic microscope for measuring three-dimensional particle distributions and motions. Appl Opt 45(16):3893–3901CrossRefGoogle Scholar
- Sibarita J-B (2005) Deconvolution microscopy. Adv Biochem Eng/Biotechnol 95:1288–1292Google Scholar
- SplashLab (2014) Synthetic aperture imaging. http://saimaging.org
- Tien W-H, Kartes P, Yamasaki T, Dabiri D (2008) A color-coded backlighted defocusing digital particle image velocimetry system. Exp Fluids 44(6):1015–1026CrossRefGoogle Scholar
- Tien W-H, Dabiri D, Hove JR (2014) Color-coded three-dimensional micro particle tracking velocimetry and application to micro backward-facing step flows. Exp Fluids 55(3):1–14CrossRefGoogle Scholar
- Yoon SY, Kim KC (2006) 3d particle position and 3d velocity field measurement in a microvolume via the defocusing concept. Meas Sci Technol 17:2897CrossRefGoogle Scholar
- Zhang Z (2010) A practicle introduction to light field microscopy. Computer Graphics Laboratory. Electrical Engineering, Stanford University, pp 1–15Google Scholar