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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 7, Iss. 12 — Dec. 19, 2012

Comparison of stresses on homogeneous spheroids in the optical stretcher computed with geometrical optics and generalized Lorenz–Mie theory

Lars Boyde, Andrew Ekpenyong, Graeme Whyte, and Jochen Guck  »View Author Affiliations

Applied Optics, Vol. 51, Issue 33, pp. 7934-7944 (2012)

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We present two electromagnetic frameworks to compare the surface stresses on spheroidal particles in the optical stretcher (a dual-beam laser trap that can be used to capture and deform biological cells). The first model is based on geometrical optics (GO) and limited in its applicability to particles that are much greater than the incident wavelength. The second framework is more sophisticated and hinges on the generalized Lorenz–Mie theory (GLMT). Despite the difference in complexity between both theories, the stress profiles computed with GO and GLMT are in good agreement with each other (relative errors are on the order of 1–10%). Both models predict a diminishing of the stresses for larger wavelengths and a strong increase of the stresses for shorter laser-cell distances. Results indicate that surface stresses on a spheroid with an aspect ratio of 1.2 hardly differ from the stresses on a sphere of similar size. Knowledge of the surface stresses and whether or not they redistribute during the stretching process is of crucial importance in real-time applications of the stretcher that aim to discern the viscoelastic properties of cells for purposes of cell characterization, sorting, and medical diagnostics.

© 2012 Optical Society of America

OCIS Codes
(000.1430) General : Biology and medicine
(080.0080) Geometric optics : Geometric optics
(140.7010) Lasers and laser optics : Laser trapping
(290.4020) Scattering : Mie theory
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(350.4855) Other areas of optics : Optical tweezers or optical manipulation

Original Manuscript: April 2, 2012
Revised Manuscript: October 11, 2012
Manuscript Accepted: October 16, 2012
Published: November 14, 2012

Virtual Issues
Vol. 7, Iss. 12 Virtual Journal for Biomedical Optics

Lars Boyde, Andrew Ekpenyong, Graeme Whyte, and Jochen Guck, "Comparison of stresses on homogeneous spheroids in the optical stretcher computed with geometrical optics and generalized Lorenz–Mie theory," Appl. Opt. 51, 7934-7944 (2012)

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