## Interaction of Gaussian beam with near-spherical particle: an analytic–numerical approach for assessing scattering and stresses

JOSA A, Vol. 26, Issue 8, pp. 1814-1826 (2009)

http://dx.doi.org/10.1364/JOSAA.26.001814

Enhanced HTML Acrobat PDF (608 KB)

### Abstract

We derive a straightforward theoretical method to determine the electromagnetic fields for the incidence of a monochromatic laser beam on a near-spherical dielectric particle. The beam-shape coefficients are obtained from the radial laser fields and expressed as a finite series in a form that has, to our knowledge, not been published before. Our perturbation approach to solve Maxwell’s equations in spherical coordinates employs two alternative techniques to match the boundary conditions: an analytic approach for small particles with low eccentricity and an adapted point-matching method for larger spheroids with higher aspect ratios. We present results for the internal and external fields, scattering intensities, and stresses exerted on the particle. While similarly accurate as others, our approach is easily implemented numerically and thus particularly useful in praxis, e.g., for analyzing optical traps, such as the optical stretcher.

© 2009 Optical Society of America

**OCIS Codes**

(140.7010) Lasers and laser optics : Laser trapping

(290.4020) Scattering : Mie theory

(290.5850) Scattering : Scattering, particles

(350.4855) Other areas of optics : Optical tweezers or optical manipulation

**ToC Category:**

Lasers and Laser Optics

**History**

Original Manuscript: May 1, 2009

Manuscript Accepted: June 21, 2009

Published: July 20, 2009

**Virtual Issues**

Vol. 4, Iss. 10 *Virtual Journal for Biomedical Optics*

**Citation**

Lars Boyde, Kevin J. Chalut, and Jochen Guck, "Interaction of Gaussian beam with near-spherical particle: an analytic-numerical approach for assessing scattering and stresses," J. Opt. Soc. Am. A **26**, 1814-1826 (2009)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-26-8-1814

Sort: Year | Journal | Reset

### References

- T. Oguchi, “Attenuation and phase rotation of radio waves due to rain: calculations at 19.3 and 34.8 GHz,” Radio Sci. 8, 31-38 (1973). [CrossRef]
- J. Guck, R. Ananthakrishnan, and H. Mahmood, “The optical stretcher: a novel laser tool to micromanipulate cells,” Biophys. J. 81, 767-784 (2001). [CrossRef]
- M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1991).
- H. Van De Hulst, Light Scattering by Small Particles (Dover, 1982).
- J. W. Strutt (Lord Rayleigh), “On the dispersal of light by a dielectric cylinder,” Philos. Mag. 36, 365-376 (1918).
- C. Yeh, “Backscattering cross section of a dielectric elliptical cylinder,” J. Opt. Soc. Am. 55, 309-314 (1965). [CrossRef]
- S. Asano and G. Yamamoto, “Light scattering by a spheroidal particle,” Appl. Opt. 14, 29-49 (1975).
- Y. 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]
- M. Mishchenko, “Light scattering by randomly oriented axially symmetric particles,” J. Opt. Soc. Am. A 8, 871-882 (1991). [CrossRef]
- K. J. Chalut, M. G. Giacomelli, and A. Wax, “Application of Mie theory to assess structure of spheroidal scattering in backscattering geometries,”J. Opt. Soc. Am. A 25, 1866-1874 (2008).
- A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech House, 2005).
- J. P. Barton and D. R. Alexander, “Electromagnetic fields for an irregularly shaped, near-spherical particle illuminated by a focused laser beam,” Appl. Phys. 69, 7972-7986 (1991).
- C. Yeh, “Perturbation approach to the diffraction of electromagnetic waves by arbitrarily shaped dielectric obstacles,” Phys. Rev. A 135, 1193-1201 (1964). [CrossRef]
- J. P. Barton, D. R. Alexander, and S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam,”Appl. Phys. 64, 1632-1639 (1988). [CrossRef]
- G. Gouesbet, G. Gréhan, and B. Maheu, “Computations of the gn coefficients in the generalized Lorenz-Mie theory using three different methods,” Appl. Opt. 27, 4874-4883 (1988). [CrossRef]
- F. Xu, K. 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, 026613-1-026613-14 (2007).
- L. W. Davis, “Theory of electromagnetic beams,” Phys. Rev. A 19, 1177-1179 (1979). [CrossRef]
- M. Abramowitz and I. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, 1965).
- A. P. Prudnikov, Y. A. Brychkow, and O. I. Marichev, Integrals and Series, Vol. 2 (Overseas Publisher Association, 1998).
- J. P. Barton, “Internal and near-surface electromagnetic fields for a spheroidal particle with arbitrary illumination,” Appl. Opt. 34, 5542-5551 (1995).
- 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). [CrossRef]
- J. A. Stratton, Electromagnetic Theory, 1st ed. (McGraw-Hill, 1941).
- S. Asano, “Light scattering properties of spheroidal particles,” Appl. Opt. 18, 712-723 (1979). [CrossRef]
- J. Guck, R. Ananthakrishnan, and T. J. Moon, “Optical deformability of soft biological dielectrics,” Phys. Rev. Lett. 84, 5451-5454 (2000). [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.