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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 4 — Feb. 24, 2014
  • pp: 4523–4538

Theoretical analysis for the optical deformation of emulsion droplets

David Tapp, Jonathan M. Taylor, Alex S. Lubansky, Colin D. Bain, and Buddhapriya Chakrabarti  »View Author Affiliations


Optics Express, Vol. 22, Issue 4, pp. 4523-4538 (2014)
http://dx.doi.org/10.1364/OE.22.004523


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Abstract

We propose a theoretical framework to predict the three-dimensional shapes of optically deformed micron-sized emulsion droplets with ultra-low interfacial tension. The resulting shape and size of the droplet arises out of a balance between the interfacial tension and optical forces. Using an approximation of the laser field as a Gaussian beam, working within the Rayleigh-Gans regime and assuming isotropic surface energy at the oil-water interface, we numerically solve the resulting shape equations to elucidate the three-dimensional droplet geometry. We obtain a plethora of shapes as a function of the number of optical tweezers, their laser powers and positions, surface tension, initial droplet size and geometry. Experimentally, two-dimensional droplet silhouettes have been imaged from above, but their full side-on view has not been observed and reported for current optical configurations. This experimental limitation points to ambiguity in differentiating between droplets having the same two-dimensional projection but with disparate three-dimensional shapes. Our model elucidates and quantifies this difference for the first time. We also provide a dimensionless number that indicates the shape transformation (ellipsoidal to dumbbell) at a value ≈ 1.0, obtained by balancing interfacial tension and laser forces, substantiated using a data collapse.

© 2014 Optical Society of America

OCIS Codes
(190.4350) Nonlinear optics : Nonlinear optics at surfaces
(240.0240) Optics at surfaces : Optics at surfaces
(240.6700) Optics at surfaces : Surfaces
(350.4855) Other areas of optics : Optical tweezers or optical manipulation

ToC Category:
Optical Trapping and Manipulation

History
Original Manuscript: November 1, 2013
Revised Manuscript: January 8, 2014
Manuscript Accepted: January 19, 2014
Published: February 20, 2014

Virtual Issues
Vol. 9, Iss. 4 Virtual Journal for Biomedical Optics

Citation
David Tapp, Jonathan M. Taylor, Alex S. Lubansky, Colin D. Bain, and Buddhapriya Chakrabarti, "Theoretical analysis for the optical deformation of emulsion droplets," Opt. Express 22, 4523-4538 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-4-4523


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