Abstract
Optical scattering, extinction and absorption cross-sections are derived for a cylindrical material exhibiting rotary polarization. A structured light-sheet of arbitrary shape illuminates the cylindrical particle of arbitrary geometrical cross-section. The partial-wave series expansion method in cylindrical coordinates is used and Poynting’s theorem is applied. Exact mathematical series expansions are obtained without any approximations. They demonstrate that the optical cross-sections are not the mere sum of linearly polarized components. Additional terms contributing to the series arise from the cross-interaction of the linearly polarized modes (known also as mode conversion TM ⇆ TE) in the scattering field. Numerical examples for the scattering or extinction energy efficiencies of a left-handed circularly polarized Airy light sheet illustrate the analysis for a circular perfect electromagnetic conductor cylinder in air. The results clearly demonstrate the contribution of mode conversion for a cylinder exhibiting circular dichroism. Under some specific conditions determined by the incident light-sheet characteristics and cylinder size, mode conversion can be zero, or it can contribute in the enhancement or reduction of the scattering.
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