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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 20 — Oct. 1, 2007
  • pp: 13360–13374

Rigorous analysis of spheres in Gauss-Laguerre beams

A.S. van de Nes and P. Torok  »View Author Affiliations


Optics Express, Vol. 15, Issue 20, pp. 13360-13374 (2007)
http://dx.doi.org/10.1364/OE.15.013360


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Abstract

In this paper we develop a rigorous formulation of Gauss-Laguerre beams in terms of Mie scattering coefficients which permits us to quasi-analytically treat the interaction of a spherical particle located in the focal region of a possibly high numerical aperture lens illuminated by a Gauss-Laguerre beam. This formalism is used to study the scattered field as a function of the radius of a spherical scatterer, as well as the translation of a spherical scatterer through the Gauss-Laguerre illumination in the focal plane. Knowledge of the Mie coefficients provides a deeper insight to understanding the scattering process and explaining the oscillatory behaviour of the scattered intensity distribution.

© 2007 Optical Society of America

OCIS Codes
(260.1960) Physical optics : Diffraction theory
(260.5740) Physical optics : Resonance
(290.4020) Scattering : Mie theory

ToC Category:
Scattering

History
Original Manuscript: July 25, 2007
Revised Manuscript: September 9, 2007
Manuscript Accepted: September 27, 2007
Published: September 28, 2007

Virtual Issues
Vol. 2, Iss. 11 Virtual Journal for Biomedical Optics

Citation
A. S. van de Nes and P. Török, "Rigorous analysis of spheres in Gauss-Laguerre beams," Opt. Express 15, 13360-13374 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-20-13360


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References

  1. M.E.J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N.R. Heckenberg, "Optical angular-momentum transfer to trapped absorbing particles", Phys. Rev. A 54, 1593-1596 (1996). [CrossRef] [PubMed]
  2. J. Tempere, J.T. Devreese and E.R.I. Abraham, "Vortices in Bose-Einstein condensates confined in a multiply connected Laguerre-Gaussian optical trap", Phys. Rev. A 64, 023603 (2001) [CrossRef]
  3. A. Mair, A. Vaziri, G. Weihs and A. Zeilinger, "Entanglement of orbital angular momentum states of photons", Nature (London),  412, 3123-3316 (2001). [CrossRef]
  4. K. O’Holleran, M.R. Dennis and M.J. Padgett, "Illustrations of optical vortices in three dimensions", J. Europ. Opt. Soc. Rap. Public. 1, 06008 (2006).Q1 [CrossRef]
  5. A. Taflove, Advances in Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Norwood, MA, 1998).
  6. P. Monk, Finite Element Methods for Maxwell’s equations (Oxford University Press, Oxford, 2003). [CrossRef]
  7. G. Gouesbet, B. Maheu and G. Gr’ehan, "Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation", J. Opt. Soc. Am. A 5, 1427-1443 (1988). [CrossRef]
  8. C.F. Bohren and D.R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley & Sons, New York, 1983).
  9. J.E. Molloy and M.J. Padgett, "Light, action: optical tweezers", Contemp. Phys. 43, 241-258 (2002). [CrossRef]
  10. S.M. Barnett and L. Allen, "Orbital angular momentum and non-paraxial light beams", Opt. Commun. 110, 670-678 (1994). [CrossRef]
  11. P. Török and P.R.T. Munro, "The use of Gauss-Laguerre vector beams in STED microscopy", Opt. Express 12, 3605-3617 (2004).Q2 [CrossRef] [PubMed]
  12. A.S. van de Nes, S.F. Pereira and J.J.M. Braat, "On the conservation of fundamental optical quantities in nonparaxial imaging systems", J. Mod. Opt. 53, 677-687 (2006). [CrossRef]
  13. A.E. Siegman, Lasers (University Science Books, Sausalito, CA, 1986).
  14. G.N. Watson, A treatise on the theory of Bessel functions (Cambridge University Press, Cambridge, 1966).
  15. S.M. Barnett, "Optical angular-momentum flux", J. Opt. B: Quantum and Semiclass. Opt. 4, S7-S16 (2002).Q3 [CrossRef]
  16. L. Allen, S.M. Barnett and M.J. Padgett, Optical Angular Momentum (Institute of Physics Publishing, Bristol, 2003). [CrossRef]
  17. A. Stratton, Electromagnetic Theory (McGraw-Hill book company, Inc., New York, 1941).
  18. P.M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill book company, Inc., New York, 1953).
  19. H.C. van de Hulst, Light scattering by small particles (Dover publications, New York, 1981).
  20. G. Mie, "Beitrage zur Optik truber Medien, speziell kolloidaler Metallosungen", Ann. Phys. 330, 377-445 (1908). [CrossRef]
  21. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1970).
  22. P. Török, P.D. Higdon, R. Ju¡skaitis and T.Wilson, "Optimising the image contrast of conventional and confocal optical microscopes imaging finite sized spherical gold scatterers", Opt. Commun. 155, 335-341 (1998).Q4 [CrossRef]
  23. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, 1999).

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