Abstract
A group-theory expansion of scalar spherical harmonics is used to obtain an expansion of vector spherical harmonics. This expansion is applied to the multipole-expansion treatment of Mie theory, and explicit expressions suitable for computation of the coefficients of the expansion are obtained. The result is a Mie-theory solution given in the variables and basis vectors of the spherical-coordinate system associated with a Cartesian system that is rotated with respect to the conventionally chosen coordinate system. This result is then used to obtain an analytical-series solution for the power scattered into a conical solid angle centered on any chosen direction from the scattering sphere.
© 1982 Optical Society of America
Full Article | PDF ArticleMore Like This
Michael Elwenspoek
J. Opt. Soc. Am. 72(6) 747-755 (1982)
R. H. Andreo and R. A. Farrell
J. Opt. Soc. Am. 72(11) 1479-1492 (1982)
Aleksandr Y. Bekshaev, Konstantin Y. Bliokh, and Franco Nori
Opt. Express 21(6) 7082-7095 (2013)