## Homogenization of time-harmonic Maxwell equations and the frequency dispersion effect

We perform  homogenization
of the time-harmonic Maxwell equations in order to determine the effective
dielectric permittivity $\varepsilon^h$ and effective electric
conductivity $\sigma^h$.  We prove that $\varepsilon^h$ and
$\sigma^h$ depend on the pulsation  $\omega$; this phenomenon is known as the
frequency dispersion effect. Moreover, the macroscopic Maxwell
equations also depend on $\omega$; they are different for small
and large values of $\omega$.

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