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Theory was formulated for scattering by a coated chiral sphere of a plane wave of arbitrary polarization state with amplitude modulated by a Gaussian pulse. The spherical core and the concentric shell of the sphere were composed of two different homogeneous materials, both isotropic chiral. Calculations of energy efficiencies for extinction, total scattering, and absorption were carried out for the shell material with experimentally determined constitutive parameters, the core being vacuous. All three energy efficiencies depend on the relative thickness of the shell and the circular polarization state of the carrier plane wave.

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