### Shelukhin V.

## 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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