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

Full Article  |  PDF Article
OSA Recommended Articles
Convergence of Mie theory series: criteria for far-field and near-field properties

Jesse R. Allardice and Eric C. Le Ru
Appl. Opt. 53(31) 7224-7229 (2014)

Feasibility of calculating morphology-dependent resonance peaks by numerical methods

Moon Kyu Choi, Chehyuk Chi, Donghun Lee, Minjung Kang, and James R. Brock
J. Opt. Soc. Am. A 20(2) 312-316 (2003)

Truncated Fourier-series approximation of the time-domain radiative transfer equation using finite elements

Aki Pulkkinen and Tanja Tarvainen
J. Opt. Soc. Am. A 30(3) 470-478 (2013)

More Recommended Articles

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (9)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription