Abstract
Numerical modeling of scattering of a plane elliptically polarized monochromatic wave on a silicon spherical nanoparticle is carried out. In the resulting light field near the particle, the topology of strips, formed by the axes of the polarization ellipses and the normal vectors to their planes, is studied. The strips may have one half-twist only if they enclose a circular polarization singularity line, while almost all other strips, even enclosing the linear polarization singularity lines, are trivial. The correlation between the twisting indices of different strips is found, and their relation to the topological features of points of the singular lines is analyzed.
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