OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 38, Iss. 7 — Mar. 1, 1999
  • pp: 1127–1132

Detection Based on Rainbow Refractometry of Droplet Sphericity in Liquid–Liquid Systems

Huburtus Lohner, Peter Lehmann, and Klaus Bauckhage  »View Author Affiliations

Applied Optics, Vol. 38, Issue 7, pp. 1127-1132 (1999)

View Full Text Article

Acrobat PDF (1059 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The shape of droplets in liquid–liquid systems influences their mass and momentum transfer processes. The deviation from sphericity of rising droplets in liquid–liquid systems was investigated for different droplet sizes. Rainbow refractometry permits one to test, in this case, whether the use of laser-optical particle sizing will be correct or faulty. Since the assumption of spherical particle geometry is a general basis of laser-optical particle-sizing techniques such as rainbow refractometry or phase Doppler anemometry, deviation from the spherical shape results in a measuring error. A sphericity check based on rainbow refractometry is introduced.

© 1999 Optical Society of America

OCIS Codes
(040.1520) Detectors : CCD, charge-coupled device
(080.0080) Geometric optics : Geometric optics

Huburtus Lohner, Peter Lehmann, and Klaus Bauckhage, "Detection Based on Rainbow Refractometry of Droplet Sphericity in Liquid–Liquid Systems," Appl. Opt. 38, 1127-1132 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. H. Lohner, E. H. Schombacher, and K. Bauckhage, “Characterization of droplets in liquid–liquid extraction by laser-optical measurement techniques,” Chem. Eng. Technol. 21, 337–341 (1998).
  2. E. H. Schombacher, H. Lohner, and K. Bauckhage, “Ein laseroptisches Messverfahren zur Untersuchung von Tropfen in der Flüssig/Flüssig-Extraktion,” Chem. Ing. Tech. 70, 713–717 (1998).
  3. H. Schombacher, “Laseroptische Messtechniken zur Bestimmung prozessrelevanter Grössen in der Flüssig/Flüssig-Extraktion,” VDI-Fortschrittsber. 8, 79–118 (1997).
  4. P. Lehmann, E. H. Schombacher, H. Lohner, and K. Bauckhage, “Characterization of nonspherical and oscillating droplets by phase-Doppler-anemometry and rainbow refractometry,” in PARTEC 98, Seventh European Symposium on Particle Characterization, R. Weichert, ed. (Nürnberg Messe GmbH Nürnberg/Germany, 1998), pp. 109–119.
  5. W. Möbius, “Zur Theorie des Regenbogens und ihrer experimentellen Prüfung,” Ann. Phys. 33, 1493–1558 (1910).
  6. P. L. Marston, “Rainbow phenomena and the detection of nonsphericity in drops,” Appl. Opt. 19, 680–685 (1980).
  7. D. S. Langley and P. L. Marston, “Generalized tertiary rainbow of slightly oblate drops: observations with laser illumination,” Appl. Opt. 37, 1520–1526 (1998).
  8. P. L. Marston and E. H. Trinh, “Hyperbolic umbilic diffraction catastrophe and rainbow scattering from spheroidal drops,” Nature (London) 312, 529–530 (1984).
  9. J. van Beeck and M. L. Riethmuller, “Nonintrusive measurements of temperature and size of single falling raindrops,” Appl. Opt. 34, 1633–1639 (1995).
  10. J. van Beeck and M. L. Riethmuller, “Rainbow phenomena applied to the measurement of droplet size and velocity and to the detection of nonsphericity,” Appl. Opt. 35, 2259–2266 (1996).
  11. J. van Beeck and M. L. Riethmuller, “Rainbow interferometry with wire diffraction for simultaneous measurement of Droplet temperature, size, and velocity,” Part. Part. Charact. 14, 186–192 (1997).
  12. H. M. Nussenzveig, “The theory of the rainbow,” Sci. Am. 236, 116–127 (1977).
  13. H. M. Nussenzveig, Diffraction Effects in Semiclassical Scattering (Cambridge University, Cambridge, England, 1992).
  14. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  15. J. D. Walker, “Multiple rainbows from single drops and other liquids,” Am. J. Phys. 44, 421–433 (1976).
  16. R. T. Wang and H. C. van de Hulst, “Rainbows: Mie computations and the Airy approximation,” Appl. Opt. 30, 106–117 (1991).
  17. G. P. Können and J. H. de Boer, “Polarized rainbow,” Appl. Opt. 18, 1961–1965 (1979).
  18. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  19. J. van Beeck and M. L. Riethmuller, “Rainbow thermometry with a pulsed laser,” in Proceedings of Ninth International Symposium on Applications of Laser Techniques to Fluid Mechanics, Vol. 1, D. F. G. Durao, ed. (Instituto Superior Técnico, Lisbon, 1998), pp. 18.6.1–7.
  20. R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops and Particles (Academic, New York, 1978).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited