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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 37, Iss. 12 — Jun. 15, 2012
  • pp: 2418–2420

Effect of finite terms on the truncation error of Mie series

Antonio Alvaro Ranha Neves and Dario Pisignano  »View Author Affiliations


Optics Letters, Vol. 37, Issue 12, pp. 2418-2420 (2012)
http://dx.doi.org/10.1364/OL.37.002418


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Abstract

The finite sum of the squares of the Mie coefficients is very useful for addressing problems of classical light scattering. An approximate formula available in the literature, and still in use today, has been developed to determine a priori the number of the most significant terms needed to evaluate the scattering cross section. Here, we obtain an improved formula, which includes the number of terms needed for determining the scattering cross section within a prescribed relative error. This is accomplished using extended precision computation for a wide range of commonly used size parameters and indices of refraction. The revised formula for the finite number of terms can be a promising and valuable approach for efficient modeling light scattering phenomena.

© 2012 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(230.5750) Optical devices : Resonators
(260.2110) Physical optics : Electromagnetic optics
(260.5740) Physical optics : Resonance
(290.0290) Scattering : Scattering
(290.4020) Scattering : Mie theory

ToC Category:
Scattering

History
Original Manuscript: February 28, 2012
Revised Manuscript: April 25, 2012
Manuscript Accepted: May 1, 2012
Published: June 15, 2012

Virtual Issues
Vol. 7, Iss. 8 Virtual Journal for Biomedical Optics

Citation
Antonio Alvaro Ranha Neves and Dario Pisignano, "Effect of finite terms on the truncation error of Mie series," Opt. Lett. 37, 2418-2420 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-12-2418


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