## Scattering by a spheroidal particle illuminated with a Gaussian beam described by a localized beam model

JOSA B, Vol. 27, Issue 5, pp. 883-887 (2010)

http://dx.doi.org/10.1364/JOSAB.27.000883

Enhanced HTML Acrobat PDF (193 KB)

### Abstract

Based on the expansion of a Gaussian beam in terms of spheroidal vector wave functions given by us and the generalized Lorenz–Mie theory that provides the general framework, a theoretical procedure to determine the scattered fields of a spheroidal particle for incidence of a Gaussian beam described by a localized beam model is presented. As a result, for a dielectric and conducting spheroidal particle, numerical results of the normalized differential scattering cross section are evaluated, and the scattering characteristics are discussed concisely.

© 2010 Optical Society of America

**OCIS Codes**

(140.3430) Lasers and laser optics : Laser theory

(290.4020) Scattering : Mie theory

**ToC Category:**

Scattering

**History**

Original Manuscript: October 5, 2009

Revised Manuscript: January 28, 2010

Manuscript Accepted: February 1, 2010

Published: April 6, 2010

**Citation**

Huayong Zhang and Yufa Sun, "Scattering by a spheroidal particle illuminated with a Gaussian beam described by a localized beam model," J. Opt. Soc. Am. B **27**, 883-887 (2010)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-5-883

Sort: Year | Journal | Reset

### References

- S. Asano and G. Yamamoto, “Light scattering by a spheroid particle,” Appl. Opt. 14, 29-49 (1975). [PubMed]
- S. Asano, “Light scattering properties of spheroidal particles,” Appl. Opt. 18, 712-723 (1979). [CrossRef] [PubMed]
- A. R. Sebak and B. P. Sinha, “Scattering by a conducting spheroidal object with dielectric coating at axial incidence,” IEEE Trans. Antennas Propag. 40, 268-273 (1992). [CrossRef]
- D. S. Wang and P. W. Barber, “Scattering by inhomogeneous nonspherical objects,” Appl. Opt. 18, 1190-1197 (1979). [CrossRef] [PubMed]
- J. P. Barton, “Internal and near-surface electromagnetic fields for a spheroidal particle with arbitrary illumination,” Appl. Opt. 34, 5542-5551 (1995). [CrossRef] [PubMed]
- J. P. Barton, “Internal, near-surface, and scattered electromagnetic fields for a layered spheroid with arbitrary illumination,” Appl. Opt. 40, 3596-3607 (2001). [CrossRef]
- G. Gouesbet, B. Maheu, and G. Gréhan, “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]
- B. Maheu, G. Gouesbet, and G. Gréhan, “A concise presentation of the generalized Lorenz-Mie theory for arbitrary location of the scatterer in an arbitrary incident profile,” J. Opt. (Paris) 19, 56-67 (1988). [CrossRef]
- G. Gouesbet, G. Gréhan, and B. Maheu, “Localized interpretation to compute all the coefficients gnm in the generalized Lorenz-Mie theory,” J. Opt. Soc. Am. A 7, 998-1003 (1990). [CrossRef]
- G. Gouesbet, “Validity of the localized approximation for arbitrary shaped beam in the generalized Lorenz-Mie theory for spheres,” J. Opt. Soc. Am. A 16, 1641-1650 (1999). [CrossRef]
- G. Gouesbet, “Generalized Lorenz-Mie theories, the third decade: a perspective,” J. Quant. Spectrosc. Radiat. Transf. 110, 1223-1238 (2009). [CrossRef]
- Y. P. Han and Z. S. Wu, “Scattering of a spheroidal particle illuminated by a Gaussian beam,” Appl. Opt. 40, 2501-2509 (2001). [CrossRef]
- Y. P. Han, L. Méès, K. F. Ren, G. Gouesbet, S. Z. Wu, and G. Gréhan, “Scattering of light by spheroids: the far field case,” Opt. Commun. 210, 1-9 (2002). [CrossRef]
- Y. P. Han, G. Gréhan, and G. Gouesbet, “Generalized Lorenz-Mie theory for a spheroidal particle with off-axis Gaussian-beam illumination,” Appl. Opt. 42, 6621-6629 (2003). [CrossRef] [PubMed]
- Y. P. Han, L. Méès, K. F. Ren, G. Gréhan, Z. S. Wu, and G. Gouesbet, “Far scattered field from a spheroid under a femtosecond pulsed illumination in a generalized Lorenz-Mie theory framework,” Opt. Commun. 231, 71-77 (2004). [CrossRef]
- F. Xu, K. F. Ren, and X. Cai, “Expansion of an arbitrarily oriented, located, and shaped beam in spheroidal coordinates,” J. Opt. Soc. Am. A 24, 109-118 (2007). [CrossRef]
- F. Xu, K. F. Ren, G. Gouesbet, G. Gréhan, and X. Cai, “Generalized Lorenz-Mie theory for an arbitrarily oriented, located, and shaped beam scattered by homogeneous spheroid,” J. Opt. Soc. Am. A 24, 119-131 (2007). [CrossRef]
- F. Xu, K. F. Ren, G. Gouesbet, X. Cai, and G. Gréhan, “Theoretical prediction of radiation pressure force exerted on a spheroid by an arbitrarily shaped beam,” Phys. Rev. E 75, 026613 (2007). [CrossRef]
- F. Xu, J. A. Lock, G. Gouesbet, and C. Tropea, “Radiation torque exerted on a spheroid: analytical solution,” Phys. Rev. A 78, 013843 (2008). [CrossRef]
- A. Doicu and T. Wriedt, “Formulations of the extended boundary condition method for incident Gaussian beams using multiple-multipole expansions,” J. Mod. Opt. 44, 785-801 (1997). [CrossRef]
- B. T. Drain and P. J. Flatau, “Discrete-dipole approximation for scattering calculations,” J. Opt. Soc. Am. A 11, 1491-1499 (1994). [CrossRef]
- Y. P. Han, H. Y. Zhang, and G. X. Han, “The expansion coefficients of arbitrarily shaped beam in oblique illumination,” Opt. Express 15, 735-746 (2007). [CrossRef] [PubMed]
- A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton Univ. Press, 1957), Chapt. 4.
- C. Flammer, Spheroidal Wave Functions (Stanford Univ. Press, 1957).
- H. Y. Zhang and Y. P. Han, “Addition theorem for the spherical vector wave functions and its application to the beam shape coefficients,” J. Opt. Soc. Am. B 11, 255-260 (2008). [CrossRef]
- L. W. Davis, “Theory of electromagnetic beam,” Phys. Rev. A 19, 1177-1179 (1979). [CrossRef]

## 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.