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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 3 — Feb. 10, 2014
  • pp: 3284–3295

Three-dimensional analysis of optical forces generated by an active tractor beam using radial polarization

Luis Carretero, Pablo Acebal, and Salvador Blaya  »View Author Affiliations


Optics Express, Vol. 22, Issue 3, pp. 3284-3295 (2014)
http://dx.doi.org/10.1364/OE.22.003284


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Abstract

We theoretically study the three-dimensional behavior of nanoparticles in an active optical conveyor. To do this, we solved the Langevin equation when the forces are generated by a focusing system at the near field. Analytical expressions for the optical forces generated by the optical conveyor were obtained by solving the Richards and Wolf vectorial diffraction integrals in an approximated form when a mask of two annular pupils is illuminated by a radially polarized Hermite-Gauss beam. Trajectories, in both the transverse plane and the longitudinal direction, are analyzed showing that the behavior of the optical conveyor can be optimized by conveniently choosing the configuration of the mask of the two annular pupils (inner and outer radius of the two rings) in order to trap and transport all particles at the focal plane.

© 2014 Optical Society of America

OCIS Codes
(140.7010) Lasers and laser optics : Laser trapping
(260.2110) Physical optics : Electromagnetic optics
(260.5430) Physical optics : Polarization
(350.4855) Other areas of optics : Optical tweezers or optical manipulation

ToC Category:
Optical Trapping and Manipulation

History
Original Manuscript: December 5, 2013
Revised Manuscript: January 4, 2014
Manuscript Accepted: January 14, 2014
Published: February 4, 2014

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

Citation
Luis Carretero, Pablo Acebal, and Salvador Blaya, "Three-dimensional analysis of optical forces generated by an active tractor beam using radial polarization," Opt. Express 22, 3284-3295 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-3-3284


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References

  1. A. Ashkin, “Acceleration and trapping of particles by radiation presure,” Phys. Rev. Lett.24, 156–159 (1970). [CrossRef]
  2. T. Cizmar, V. Garces-Chavez, K. Dholakia, and P. Zemanek, “Optical conveyor belt for delivery submicron objects,” Appl. Phys. Lett.86, 174101 (2005). [CrossRef]
  3. T. Cizmar, M. Siler, and P. Zemanek, “An optical nanotrap array movable over a milimetre range,” Appl. Phys. B84, 197–203 (2006). [CrossRef]
  4. G. Milne, H. Dholakia, D. McGloin, K. Volke-Sepulveda, and P. Zemanek, “Transverse particle dynamics in a Bessel beam,” Opt. Express15, 13972–13986 (2007). [CrossRef] [PubMed]
  5. M. Siler, P. Jakl, O. Brzobohaty, and P. Zemanek, “Optical forces induced behavior of a particle in a non-diffracting vortex beam,” Opt. Express20, 24304–24318 (2012). [CrossRef] [PubMed]
  6. N. Wang, J. Chen, S. Liu, and Z. Lin, “Dynamical and phase study on stable optical pulling force in Bessel beams,” Phys. Rev. A87, 063812 (2013). [CrossRef]
  7. D. B. Ruffner and D. G. Grier, “Optical conveyors: a class of active tractor beams,” Phys. Rev. Lett.109, 163903 (2012). [CrossRef] [PubMed]
  8. T. A. Nieminen, N. R. Heckenberg, and H. Rubinstein-Dunlop, “Forces in optical tweezers with radially and azimuthally polarized trapping beams,” Opt. Lett.33, 122–124 (2008). [CrossRef] [PubMed]
  9. S. E. Skelton, M. Sergides, R. Saija, M. Iati, O. Marago, and P. H. Jones, “Trapping volume control in optical tweezers using cylindrical vector beams,” Opt. Lett.38, 28–30 (2013). [CrossRef] [PubMed]
  10. C. J. R. Sheppard and A. Choudhury, “Annular pupils, radial polarization and superresolution,” Appl. Opt.43, 4322–4327 (2004). [CrossRef] [PubMed]
  11. Z. Chen and D. Zhao, “4 π focusing of spatially modulated radially polarized vortex beams,” Opt. Lett.37, 1286–1288 (2012). [CrossRef] [PubMed]
  12. B. Richards and E. Wolf, “Electomagnetic diffraction of optical system II. Structure of the image field in an aplanatic system,” Proc. R. Soc. A253, 358–379 (1959). [CrossRef]
  13. K. S. Youngworth and T. Brown, “Focusing of high numerical aperture cylindrical-vector beams,” Opt. Express7, 77–87 (2000). [CrossRef] [PubMed]
  14. P. C. Chaumet and M. Nieto-Vesperinas, “Time-averaged total force on a dipolar sphere in an electromagentic fiel,” Opt. Lett.25, 1065–1067 (2000). [CrossRef]
  15. M. Nieto-Vesperinas, J. Sáenz, R. Gómez-Medina, and L. Chantada, “Optical forces on small magnetodielectric particles,” Opt. Express18, 11428–11443 (2010). [CrossRef] [PubMed]
  16. V. Kajorndenukul, W. Ding, S. Sukhov, C.-W. Qiu, and A. Dogariu, “Linear momentum increase and negative optical forces at dielectric interface,” Nat. Photonics7, 787–790 (2013). [CrossRef]
  17. F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw-Hill, 1965).
  18. M. Borromeo and F. Marchesoni, “Brownian surfers,” Phys. Lett. A249, 199–203 (1998). [CrossRef]
  19. P. Reimann, “Brownian motors: noisy transport far from equilibrium,” Phys. Rep.361, 57–265 (2002). [CrossRef]
  20. M. Siler, T. Cizmar, A. Jonas, and P. Zemanek, “Surface delivery of a single nanoparticle under moving evanescent standing-wave illumination,” New J. Phys.10, 113010 (2008). [CrossRef]

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