Skip to main content
Log in

Local determination of thin liquid film profiles using colour interferometry

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract.

We explore theoretically the interference of white light between two interfaces as a function of the optical conditions, using separately: a) idealised conditions where the light is composed of three discrete wavelengths; b) a more typically experimentally realisable case where light comprises a sum of three Gaussian wavelength distributions; and c) unfiltered white light from a broadband source comprising a broad distribution of wavelengths. It is demonstrated that the latter case is not only optically simple to arrange, but also provides unambiguous absolute separation information over the range 0-1μm --a useful range in studies of cell adhesion, thin liquid films and lubrication-- when coupled to detection using a typical colour camera. The utility of this technique is verified experimentally by exploring the air film between a cylinder and surface, as well as arbitrary liquid films beneath air bubbles that are interacting with solid surfaces.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. P. Hariharan, Basics of Interferometry (Academic Press, San Diego, 1992)

  2. I. Newton, Opticks (Royal Society, London, 1704)

  3. T. Young, Philos. Trans. Royal Soc. 94, 1 (1804)

    Article  Google Scholar 

  4. R.v. Klitzing, Adv. Colloid Interface Sci. 114, 253 (2005)

    Article  Google Scholar 

  5. A. Fresnel, The Wave Theory of Light

  6. D. Platikanov, D. Exerowa, Emulsions and Emulsion Stability (CRC Press, Boca Raton, 2005) chapt. “Symmetric Thin Liquid Films with Fluid Interfaces”, pp. 127--184

  7. J.M. Desse, J.M. Tribillon, Recent improvements in color interferometry, in 8th International Symposium on Fluid Control, Measurement and Visualization, China (2005)

  8. K. Kitagawa, J. Electron. Imag. 21, 021107 (2012)

    Article  ADS  Google Scholar 

  9. S. Chatterjee, Y. Pavan Kumar, Appl. Opt. 53, 296 (2014)

    Article  ADS  Google Scholar 

  10. H.T. Xia, R.X. Guo, Z.B. Fan, H.M. Cheng, B.C. Yang, Exp. Mech. 52, 439 (2012)

    Article  Google Scholar 

  11. B. Maniscalco, P. Kaminski, J. Walls, Thin Solid Films 550, 10 (2014)

    Article  ADS  Google Scholar 

  12. F.W. Cain, J.C. Lee, J. Colloid Interface Sci. 106, 70 (1985)

    Article  Google Scholar 

  13. L.R. Fisher, E.E. Mitchell, D. Hewitt, J. Ralston, J. Wolfe, Colloids Surf. 52, 163 (1991)

    Article  Google Scholar 

  14. L.R. Fisher, D. Hewitt, E.E. Mitchell, J. Ralston, J. Wolfe, Adv. Colloid Interface Sci. 39, 397 (1992)

    Article  Google Scholar 

  15. P.J. Wilde, D.C. Clark, J. Colloid Interface Sci. 155, 48 (1993)

    Article  Google Scholar 

  16. E. Klaseboer, J.P. Chevaillier, C. Gourdon, O. Masbernat, J. Colloid Interface Sci. 229, 274 (2000)

    Article  Google Scholar 

  17. P. Dell’Aversana, V. Tontodonato, L. Carotenuto, Phys. Fluids 9, 2475 (1997)

    Article  ADS  Google Scholar 

  18. M.H.W. Hendrix, R. Manica, E. Klaseboer, D.Y.C. Chan, C.D. Ohl, Phys. Rev. Lett. 108, 247803 (2012)

    Article  ADS  Google Scholar 

  19. C. Shi, X. Cui, L. Xie, Q. Liu, D.Y.C. Chan, J.N. Israelachvili, H. Zeng, ACS Nano 9, 95 (2015)

    Article  Google Scholar 

  20. I. Cantat, S. Cohen-Addad, F. Elias, F. Graner, R. Höhler, O. Pitois, F. Rouyer, A. Saint-Jalmes, Foams: Structure and Dynamics (Oxford University Press, Oxford, 2013)

  21. R.C.A. van der Veen, T. Tran, D. Lohse, C. Sun, Phys. Rev. E 85, 026315 (2012)

    Article  ADS  Google Scholar 

  22. K. Kitagawa, Appl. Opt. 52, 1998 (2013)

    Article  ADS  Google Scholar 

  23. M. Born, E. Wolf, Principles of Optics, 4th edition (Pergamon Press, Oxford, 1970)

  24. J.N. Connor, Horn, Faraday Discuss. 123, 193 (2003)

    Article  ADS  Google Scholar 

  25. D.Y.C. Chan, R. Manica, E. Klaseboer, Soft Matter 7, 2235 (2011)

    Article  ADS  Google Scholar 

  26. D.Y.C. Chan, E. Klaseboer, R. Manica, Adv. Colloid Interface Sci. 165, 70 (2011)

    Article  Google Scholar 

  27. S. Parthasarathy, D. Wolf, E. Hu, S. Hackwood, G. Beni, A color vision system for film thickness determination, in Robotics and Automation. Proceedings. 1987 IEEE International Conference on, Vol. 4 (IEEE, 1987) pp. 515--519

  28. M. Eguchi, T. Yamamoto, Film thickness measurement using white light spacer interferometry and its calibration by HSV color space, in 5th International Conference on Tribology, Parma, Italy (2006) pp. 20--22

  29. E. Ciulli, T. Draexl, K. Stadler, Adv. Tribol. 2008, 1 (2008)

    Article  Google Scholar 

  30. A. Lukin, D. Kubasov, Prog. Comput. Software 30, 347 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  31. R. Manica, Chan, Phys. Chem. Chem. Phys. 13, 1434 (2011)

    Article  Google Scholar 

  32. R. Manica, J.N. Connor, R.R. Dagastine, S.L. Carnie, R.G. Horn, D.Y.C. Chan, Phys. Fluids 20, 032101/1 (2008)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rico F. Tabor.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Butler, C., Seeger, Z., Bell, T. et al. Local determination of thin liquid film profiles using colour interferometry. Eur. Phys. J. E 39, 14 (2016). https://doi.org/10.1140/epje/i2016-16014-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2016-16014-9

Keywords

Navigation