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Analytical Mie Theory of Vector Complex Source Vortices and its Application for the Investigation of Planar Chiral Structures

The Mie theory was the very first description of light interaction with a particle and it was extended for describing the interaction with highly focused beams. The polarization properties of highly focused electromagnetic beams strongly influence the size and shape of the focal spot of the beams [1]. The optical response of the nanoparticle is strongly dependent both on the particle location in the focal plane and on the polarization state of the beam, and it differs notably from that of the classical Mie theory [2]. An accurate analytical description of highly focused linearly, radially and azimuthally polarized light beams can be obtained via an extension of the so-called complex source beam (CSB) model [3]. Furthermore, the CSB model can be also employed for an accurate and unified vectorial description of highly focused vortex beams of various polarizations that are rigorous solutions of Maxwell's equations [4].