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Opt Express. 2008 Apr 14;16(8):5926-33.

Closed form formula for Mie scattering of nonparaxial analogues of Gaussian beams.

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The Institute of Optics, University of Rochester, Rochester, NY 14627, USA.


A closed form formula is found for the Mie scattering coefficients of incident complex focus beams (which are a nonparaxial generalization of Gaussian beams) with any numerical aperture. This formula takes the compact form of multipoles evaluated at a single complex point. Included are the cases of incident scalar fields as well as electromagnetic fields with many polarizations, such as linear, circular, azimuthal and radial. Examples of incident radially and azimuthally polarized beams are presented.

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