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Optics Letters

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  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 16 — Aug. 15, 2014
  • pp: 4827–4830

Comparison of T-matrix calculation methods for scattering by cylinders in optical tweezers

Xiaoqiong Qi, Timo A. Nieminen, Alexander B. Stilgoe, Vincent L. Y. Loke, and Halina Rubinsztein-Dunlop  »View Author Affiliations


Optics Letters, Vol. 39, Issue 16, pp. 4827-4830 (2014)
http://dx.doi.org/10.1364/OL.39.004827


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Abstract

The T-matrix method, or the T-matrix formulation of scattering, is a framework for mathematically describing the scattering properties of an object as a linear relationship between expansion coefficients of the incident and scattering fields in a basis of vector spherical wave functions (VSWFs). A variety of methods can be used to calculate the T-matrix. We explore the applicability of the extended boundary condition method (EBCM) and point matching (PM) method to calculate the T-matrix for scattering by cylinders in optical tweezers and hence the optical force acting on them. We compare both methods with the discrete-dipole approximation (DDA) to measure their accuracy for different sizes and aspect ratios (ARs) for Rayleigh and wavelength-size cylinders. We determine range of sizes and ARs giving errors below 1% and 10%. These results can help researchers choose the most efficient method to calculate the T-matrix for nonspherical particles with acceptable accuracy.

© 2014 Optical Society of America

OCIS Codes
(290.5850) Scattering : Scattering, particles
(350.4855) Other areas of optics : Optical tweezers or optical manipulation
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: May 2, 2014
Revised Manuscript: July 1, 2014
Manuscript Accepted: July 3, 2014
Published: August 12, 2014

Virtual Issues
Vol. 9, Iss. 10 Virtual Journal for Biomedical Optics

Citation
Xiaoqiong Qi, Timo A. Nieminen, Alexander B. Stilgoe, Vincent L. Y. Loke, and Halina Rubinsztein-Dunlop, "Comparison of T-matrix calculation methods for scattering by cylinders in optical tweezers," Opt. Lett. 39, 4827-4830 (2014)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-39-16-4827


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