  Let $\Omega = \mathbb R^3 \setminus \bar{K}$, where $K$ is an open bounded
domain with smooth boundary $\Gamma$. Let $V(t) = e^{tG_b},\: t \geq 0,$ be the
semigroup related to Maxwell's equations in $\Omega$ with dissipative boundary
condition $\nu \wedge (\nu \wedge E)+ \gamma(x) (\nu \wedge H) = 0, \gamma(x) >
0, \forall x \in \Gamma.$ We study the case when $\gamma(x) \neq 1, \: \forall
x \in \Gamma,$ and we establish a Weyl formula for the counting function of the
eigenvalues of $G_b$ in a polynomial neighbourhood of the negative real axis.
