Abstract

Vectorial solutions of Maxwell's equations describing highly focused and variously polarized vector complex source vortex beams are investigated. An analytical representation of these beams in the vector-spherical basis of electromagnetic multipoles is presented. In particular, three different families of optical vector vortex beams are studied in detail. Whereas the vortical solutions derived within spherical symmetry can be represented only by electric (magnetic) multipoles, solutions derived within cylindrical and Cartesian symmetry also exhibit magnetic (electric) multipole components. We utilize the representation of the studied beams in vector-spherical harmonics to investigate their interaction with a cluster of nanoparticles.

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