Recurrence Formulas for the Mie Series

The Mie series has very important applications in electromagnetics (including optics). We employ a formulation for the Mie series which relies more on the derivatives of Legendre polynomials than Bessel functions. Recurrence formulas for derivatives related to Legendre polynomials are derived to rea...

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Bibliographic Details
Published in:Chinese physics letters 2011-10, Vol.28 (10), p.104214-1-104214-3
Main Authors: Sun, Ji-Yu (继禹 孙), Xie, Hong (红谢)
Format: Article
Language:English
Subjects:
Bessel functions
Derivatives
Formulations
Polynomials
Citations: Items that this one cites
Online Access:Get full text
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Summary:The Mie series has very important applications in electromagnetics (including optics). We employ a formulation for the Mie series which relies more on the derivatives of Legendre polynomials than Bessel functions. Recurrence formulas for derivatives related to Legendre polynomials are derived to realize the Mie series conveniently and to avoid treating special angles.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/28/10/104214