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Analytical expansion of highly focused vector beams into vector spherical harmonics and its application to Mie scattering

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Orlov,  S.
Interference Microscopy and Nanooptics, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Peschel,  U.
Nonlinear Optics and Nanophotonics, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Bauer,  T.
Interference Microscopy and Nanooptics, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Banzer,  P.
International Max Planck Research School, Max Planck Institute for the Science of Light, Max Planck Society;
Interference Microscopy and Nanooptics, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Orlov, S., Peschel, U., Bauer, T., & Banzer, P. (2012). Analytical expansion of highly focused vector beams into vector spherical harmonics and its application to Mie scattering. PHYSICAL REVIEW A, 85(6): 063825. doi:10.1103/PhysRevA.85.063825.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-68C1-F
Abstract
The analytical expansion of linearly, azimuthally, and radially polarized rigorous beam-type solutions of Maxwell's equations into vector spherical harmonics (VSHs) is presented. We report on the dominance of higher order multipoles in highly focused radially and azimuthally polarized beams compared to linearly polarized beams under similar conditions. Furthermore, we theoretically investigate a scenario in which highly focused azimuthally and radially polarized beams interact with a linear polarizer placed in the focal plane and expand the resulting fields into VSHs. The generalized Mie theory is used afterwards to investigate the scattering of the studied beams off a spherical gold nanoparticle.