  Several classical analogues of electromagnetically induced transparency in
metamaterials have been demonstrated. A simple two-resonator model can describe
their absorption spectrum qualitatively, but fails to provide information about
the scattering properties-e.g., transmission and group delay. Here we develop
an alternative model that rigorously includes the coupling of the radiative
resonator to the external electromagnetic fields. This radiating two-oscillator
model can describe both the absorption spectrum and the scattering parameters
quantitatively. The model also predicts metamaterials with a narrow spectral
feature in the absorption larger than the background absorption of the
radiative element. This classical analogue of electromagnetically induced
absorption is shown to occur when both the dissipative loss of the radiative
resonator and the coupling strength are small. These predictions are
subsequently demonstrated in experiments.
