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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 27, Iss. 9 — Sep. 1, 2010
  • pp: 2061–2071

Orbital motion of optically trapped particles in Laguerre–Gaussian beams

Stephen H. Simpson and Simon Hanna  »View Author Affiliations

JOSA A, Vol. 27, Issue 9, pp. 2061-2071 (2010)

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A theoretical examination of off-axial trapping in non-paraxial Laguerre–Gaussian beams is presented for both the Rayleigh and Mie regimes. It is well known that the force acting on a particle may be divided into a term proportional to the intensity gradient and another representing the scattering force. The latter term may be further sub-divided into a dissipative radiation force and a term dependent on the electric field gradient. For Rayleigh particles in Laguerre–Gaussian beams, it is shown that the field gradient term contributes exactly half of the scattering force. This may be compared with a plane wave, in which it makes zero contribution. The off-axis trapping positions for spheres with radii varying from 0.1 to 0.5 μ m and a range of refractive indices are calculated numerically in the Mie regime, using a conjugate gradient approach. Azimuthal forces and orbital torques are presented for particles in their trapping positions, for beams with different orbital angular momentum and polarization states. The components of a “spin” torque, acting through the center of the particle, are also computed for absorbing particles in the Mie regime.

© 2010 Optical Society of America

OCIS Codes
(290.4020) Scattering : Mie theory
(290.5870) Scattering : Scattering, Rayleigh
(350.4855) Other areas of optics : Optical tweezers or optical manipulation
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:

Original Manuscript: April 1, 2010
Revised Manuscript: July 22, 2010
Manuscript Accepted: July 26, 2010
Published: August 24, 2010

Virtual Issues
Vol. 5, Iss. 13 Virtual Journal for Biomedical Optics

Stephen H. Simpson and Simon Hanna, "Orbital motion of optically trapped particles in Laguerre–Gaussian beams," J. Opt. Soc. Am. A 27, 2061-2071 (2010)

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