Closed form formula for Mie scattering of nonparaxial analogues of Gaussian beams

Optics Express

Volumn 16, Issue 8, 2008, Pages 5926-5933

  Moore, Nicole J ^a   Alonso, Miguel A ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC FIELDS; FOCUSING; GAUSSIAN BEAMS; NUMERICAL METHODS; POLARIZATION;

FOCUS BEAMS; MIE SCATTERING; NONPARAXIAL ANALOGUES; NONPARAXIAL GENERALIZATION;

LIGHT SCATTERING;

ALGORITHM; ARTICLE; COMPUTER SIMULATION; LIGHT; NORMAL DISTRIBUTION; OPTICS; RADIATION SCATTERING; STATISTICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; LIGHT; MODELS, STATISTICAL; NORMAL DISTRIBUTION; OPTICS; SCATTERING, RADIATION;

EID: 42149174327     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.16.005926     Document Type: Article

References (20)

1. K. C. Neuman and S. M. Block, "Optical trapping," Rev. Sci. Instrum. 75, 2787-2807 (2004).
2. D. Ganic, X. Gan, and M. Gu, "Optical trapping force with annular and doughnut laser beams based on vectorial diffraction," Opt. Express 13, 1260-1265 (2005).
3. Z. J. Smith and A. J. Berger, "Integrated raman- and angular- scattering microscopy," Opt. Lett. 33, 714-716 (2008).
4. G. Gouesbet and G. Gréhan, "Sur la géné ralisation de la théorie de Lorenz-Mie," J. Opt. (Paris) 13, 97-103 (1982).
5. n coefficients in the generalized Lorenz-Mie theory using three different methods," Appl. Opt. 27, 4874-4883 (1988).
6. G. Gouesbet, G. Gréhan, and B. Maheu, "Scattering of a Gaussian beam by a Mie scatter center using a Bromwich formalism," J. Opt. (Paris) 16, 83-93 (1985).
7. R. Kant, "Generalized Lorenz-Mie scattering theory for focused radiation and finite solids of revolution: case i: symmetrically polarized beams," J. Mod. Opt. 52, 2067-2092 (2005).
8. A. S. van de Nes and P. Török, "Rigorous analysis of spheres in Gauss-Laguerre beams," Opt. Express 15, 13,360-13,374 (2007).
9. Y. A. Kravtsov, "Complex rays and complex caustics," Radiophys. and Quant. Elec. 10, 719-730 (1967).
10. F. A. L. Cullen and P. K. Yu, "Complex source-point theory of the electromagnetic open resonator," Proc. Royal Soc. Lond. A 366, 155-171 (1979).
11. C. J. R. Sheppard and S. Saghafi, "Beam, modes beyond the paraxial approximation: A scalar treatment," Phys. Rev. A 57, 2971-2979 (1998).
12. C. J. R. Sheppard and S. Saghafi, "Electromagnetic Gaussian beams beyond the paraxial approximation," J. Opt. Soc. Am. A. 16, 1381-1386 (1999).
13. B. Richards and E. Wolf, "Electromagnetic diffraction in optical systems II. structure of the image field in an aplanatic system," Proc. Roy. Soc. A 253, 358-379 (1959).
14. C. J. R. Sheppard and S. Saghafi, "Transverse-electric and transverse-magnetic beam modes beyond the paraxial approximation," Opt. Lett. 24, 1543-1545 (1999).
15. S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, "Focusing light to a tighter spot," Opt. Commun. 179, 1-7 (2000).
16. J. D. Jackson, Classical Electrodynamics (Wiley, 1999), pp. 108-109.
17. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic Press, 1969), pp. 39-54.
18. J. D. Jackson, Classical Electrodynamics (Wiley, 1999), pp. 430-431.
19. A. J. Devaney and E. Wolf, "Multipole expansions and plane wave representations of the electromagnetic field," J. Math. Phys. 15, 234-244 (1974).
20. M. A. Alonso, R. Borghi, and M. Santarsiero, "New basis for rotationally symmetric nonparaxial fields in terms of spherical waves with complex foci," Opt. Express 14, 6894-6905 (2006).