  The energy extinction cross section of a concentrically layered sphere varies
with velocity as the Doppler shift moves the spectral content of the incident
signal in the sphere's co-moving inertial reference frame toward or away from
resonances of the sphere. Computations for hollow gold nanospheres show that
the energy extinction cross section is high when the Doppler shift moves the
incident signal's spectral content in the co-moving frame near the wavelength
of the sphere's localized surface plasmon resonance. The energy extinction
cross section of a three-layer sphere consisting of an olivine-silicate core
surrounded by a porous and a magnetite layer, which is used to explain
extinction caused by interstellar dust, also depends strongly on velocity. For
this sphere, computations show that the energy extinction cross section is high
when the Doppler shift moves the spectral content of the incident signal near
either of olivine-silicate's two localized surface phonon resonances at 9.7
$\mu$m and 18 $\mu$m.
