Multipole expansion of Bessel and Gaussian beams for Mie scattering calculations

Taylor, J.M. and Love, G.D. (2009) Multipole expansion of Bessel and Gaussian beams for Mie scattering calculations. Journal of the Optical Society of America A: Optics Image Science and Vision, 26(2), pp. 278-282. (doi: 10.1364/JOSAA.26.000278)

Abstract

Multipole expansions of Bessel and Gaussian beams, suitable for use in Mie scattering calculations, are derived. These results allow Mie scattering calculations to be carried out considerably faster than existing methods, something that is of particular interest for time evolution simulations where large numbers of scattering calculations must be performed. An analytic result is derived for the Bessel beam that improves on a previously published expression requiring the evaluation of an integral. An analogous expression containing a single integral, similar to existing results quoted, but not derived, in literature, is derived for a Gaussian beam,valid from the paraxial limit all the way to arbitrarily high numerical apertures.

• Item Type: Articles
• Additional Information: This paper was published in Journal of the Optical Society of America A and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/JOSAA.26.000278. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Taylor, Dr Jonathan
• Authors: Taylor, J.M., and Love, G.D.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Journal of the Optical Society of America A: Optics Image Science and Vision
• Publisher: Optical Society of America
• ISSN: 1084-7529
• ISSN (Online): 1520-8532
• Published Online: 27 January 2009
• Copyright Holders: Copyright © 2009 Optical Society of America
• First Published: First published in Journal of the Optical Society of America A 26(2):278-282
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher