OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 36 — Dec. 20, 2008
  • pp: 6701–6709

Gaussian beam scattering by two parallel nonabsorbing dielectric cylinders: displacement and rotational degrees of freedom

André Gondim Simão, José Paulo Rodrigues Furtado de Mendonça, Luiz Gallisa Guimarães, and Pedro Cláudio Guaranho de Moraes  »View Author Affiliations

Applied Optics, Vol. 47, Issue 36, pp. 6701-6709 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (595 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An extension of the problem of a moderately focused Gaussian beam scattered by an arrangement of two parallel nonabsorbing dielectric cylinders of arbitrary refraction indexes and radii is developed. The feature introduced in the present solution is the relative angular position coordinate between the two cylinders ( ϕ 0 ) as a degree of freedom. Explicit dependence on this variable of scattering coefficients, beam shape coefficient, and extinction efficiency is given. Together with the displacement coordinate d, various other scattering configurations can be studied. The applicability of the solution is given in the form of extinction curves taking ϕ 0 as the main parameter for variation. The model is proposed as a means of investigating evanescent wave microscopy.

© 2008 Optical Society of America

OCIS Codes
(260.5740) Physical optics : Resonance
(290.2200) Scattering : Extinction
(290.5850) Scattering : Scattering, particles

ToC Category:

Original Manuscript: June 25, 2008
Revised Manuscript: October 23, 2008
Manuscript Accepted: October 28, 2008
Published: December 11, 2008

André Gondim Simão, José Paulo Rodrigues Furtado de Mendonça, Luiz Gallisa Guimarães, and Pedro Cláudio Guaranho de Moraes, "Gaussian beam scattering by two parallel nonabsorbing dielectric cylinders: displacement and rotational degrees of freedom," Appl. Opt. 47, 6701-6709 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. T. E. Starr and N. L. Thompson, “Total internal reflection with fluorescence correlation spectroscopy: combined surface reaction and solution diffusion,” Biophys. J. 80, 1575-1584(2001). [CrossRef] [PubMed]
  2. D. Voigt, B. T. Wolschrijn, R. Jansen, B. Bhattacharya, R. J. C. Spreeuw, and H. V. L. Van den Heuvell, “Observation of radiation pressure exerted by evanescent waves,” Phys. Rev. A 61, 063412 (2000). [CrossRef]
  3. P. C. Odiachi and D. C. Prieve, “Total internal reflection microscopy: distortion caused by additive noise,” Ind. Eng. Chem. Res. 41, 478-485 (2002). [CrossRef]
  4. M. A. S. Vigeant, M. Wagner, L. K. Tamm, and R. M. Ford, “Nanometer distances between swimming bacteria and surfaces measured by total internal reflection aqueous fluorescence microscopy,” Langmuir 17, 2235-2242 (2001). [CrossRef]
  5. V. Garcés-Chávez, K. Dholakia, and G. C. Spalding, “Extended-area optically induced organization of microparticles on a surface,” Appl. Phys. Lett. 86, 0311061 (2005). [CrossRef]
  6. T. Tanaka and S. Yamamoto, “Optically induced propulsion of small particles in a evanescent field of higher propagation mode in a multimode channeled waveguide,” Appl. Phys. Lett. 77, 3131-3133 (2000). [CrossRef]
  7. A. G. Simão, L. G. Guimarães, and J. P. R. F. de Mendonça, “Evanescent wave coupling in light scattering of an off-axis normally incident Gaussian beam by two parallel non-absorbing cylinders,” J. Opt. Soc. Am. A 19, 2053-2063 (2002). [CrossRef]
  8. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).
  9. J. A. Lock, “Scattering of a diagonally incident focused Gaussian beam by an infinitely long homogeneous circular cylinder,” J. Opt. Soc. Am. A. 14, 640-652 (1997). [CrossRef]
  10. D. Felbacq, G. Tayeb, and D. Maystre, “Scattering by a random set of parallel cylinders,” J. Opt. Soc. Am. A 11, 2526-2538(1994). [CrossRef]
  11. J. A. Lock, J. T. Hodges, and G. Goesbet, “Failure of the optical theorem for Gaussian-beam scattering by a spherical particle,” J. Opt. Soc. Am. A. 12, 2708-2714 (1995). [CrossRef]
  12. S. Lee, “Scattering of polarized radiation by an arbitrary collection of closely spaced parallel nonhomogeneous tilted cylinders,” J. Opt. Soc. Am. A 13, 2256-2265 (1996). [CrossRef]
  13. H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).
  14. A. Cohen and P. Alpert, “Extinction efficiency of obliquely and randomly oriented infinite cylinders,” J. Appl. Phys. 50, 8262-8264 (1979). [CrossRef]
  15. L. G. Guimarães, “Theory of Mie caustics,” Opt. Commun. 103, 339-344 (1993). [CrossRef]
  16. A. E. Walsby, “Gas vesicles,” Microbiol. Rev. 58, 94-144 (1994). [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited