Abstract
Studies of applied magnetic field effects on the scattering of light by excitonic nano-spheres are presented. Linearly polarized light is incident on a sphere of radius a and local dielectric tensor e. The propagation wave vector and the applied magnetic field H 0 are considered parallel to the z-axis of a Cartesian coordinate system. An extension to the Mie theory for the scattering of light is developed to calculate the scattering and extinction cross sections. Results are reported for energies in the excitonic transition regime for different values of the magnetic field strength. The peak exhibited by the extinction coefficient in the absence of an external field displays a Zeeman-like splitting as a result of the presence of induced electromagnetic modes within the spheres produced by the external field. The increase of the oscillator strength produces an enhancement of the resonance peaks.
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