Multipole expansion of Bessel and Gaussian beams for Mie scattering calculations

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 26, Issue 2, 2009, Pages 278-282

  Taylor, J M ^a   Love, G D ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BRILLOUIN SCATTERING; GAUSSIAN NOISE (ELECTRONIC); SCATTERING; TRELLIS CODES;

BESSEL BEAMS; EXISTING METHODS; HIGH NUMERICAL APERTURES; MIE SCATTERINGS; MULTIPOLE EXPANSIONS; PARAXIAL LIMITS; SCATTERING CALCULATIONS; TIME-EVOLUTION SIMULATIONS;

GAUSSIAN BEAMS;

EID: 60949095615     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.26.000278     Document Type: Article

References (22)

1. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
2. J. P. Barton, W. Ma, S. A. Schaub, and D. R. Alexander, "Electromagnetic field for a beam incident on two adjacent spherical particles," Appl. Opt. 30, 4706-4715 (1991).
3. Y.-L. Xu, "Electromagnetic scattering by an aggregate of spheres," Appl. Opt. 34, 4573-4588 (1995).
4. D. W. Mackowski, "Analysis of radiative scattering for multiple sphere configurations," Proc. R. Soc. London, Ser. A 433, 599-614 (1991).
5. J. Ng, Z. F. Lin, C. T. Chan, and P. Sheng, "Photonic clusters formed by dielectric microspheres: numerical simulations," Phys. Rev. B 72, 085130 (2005).
6. J. P. Barton, D. R. Alexander, and S. A. Schaub, "Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam," J. Appl. Phys. 66, 4594-4602 (1989).
7. M. Kawano, J. T. Blakely, R. Gordon, and D. Sinton, "Theory of dielectric microsphere dynamics in a dual-beam optical trap," Opt. Express 16, 9306-9317 (2008).
8. T. Cižmár, V. Kollárová, Z. Bouchai, and P. Zemánek, "Sub-micron particle organization by self-imaging of non-diffracting beams," New J. Phys. 8, 43 (2006).
9. J. M. Taylor, L. Y. Wong, C. D. Bain, and G. D. Love, "Emergent properties in optically bound matter," Opt. Express 16, 6921-6929 (2008).
10. T. A. Nieminen, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Multipole expansion of strongly focussed laser beams," J. Quant. Spectrosc. Radiat. Transf. 79-80, 1005-1017 (2003).
11. G. Gouesbet, G. Grehan, and B. Maheu, "Localized interpretation to compute all the coefficients gmn in the generalized Lorenz-Mie theory," J. Opt. Soc. Am. A 7, 998-1007 (1990).
12. P. C. Chaumet, "Fully vectorial highly nonparaxial beam close to the waist," J. Opt. Soc. Am. A 23, 3197-3202 (2006).
13. A. D. Ward, M. G. Berry, C. D. Mellor, and C. D. Bain, "Optical sculpture: controlled deformation of emulsion droplets with ultralow interfacial tensions using optical tweezers," Chem. Commun. (Cambridge) 2006, 4515-4517 (2006).
14. P. A. Maia Neto and H. M. Nussenzveig, "Theory of optical tweezers," Europhys. Lett. 50, 702-708 (2000).
15. A. Mazolli, P. A. Maia Neto, and H. M. Nussenzveig, "Theory of trapping forces in optical tweezers," Proc. R. Soc. London, Ser. A 459, 3021-3041 (2003).
16. D. W. Mackowski, "Calculation of total cross sections of multiple-sphere clusters," J. Opt. Soc. Am. A 11, 2851-2861 (1994).
17. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1972).
18. A. Doicu and T. Wriedt, "Plane wave spectrum of electromagnetic beams," Opt. Commun. 136, 114-124 (1996).
19. J. P. Barton and D. R. Alexander, "Fifth-order corrected electromagnetic field components for a fundamental Gaussian beam," J. Appl. Phys. 66, 2800-2802 (1989).
20. Y. I. Salamin, "Fields of a Gaussian beam beyond the paraxial approximation," Appl. Phys. B 86, 319-326 (2007).
21. B. Richards and E. Wolf, "Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system," Proc. R. Soc. London, Ser. A 253, 358-379 (1959).
22. W. J. Wiscombe, "Improved Mie scattering algorithms," Appl. Opt. 19, 1505-1509 (1980).