Absolute continuity of the spectrum of the periodic Maxwell operator in a layer
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 232-255
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We study the Maxwell operator in a layer $\mathbb R^2\times(0,T)$. It is assumed that an electric permittivity $\varepsilon(\mathbf x)$ and a magnetic permeability $\mu(\mathbf x)$ are periodic along the layer. On the boundary of the layer, we impose conditions of ideal conductivity. Under wide assumptions on $\varepsilon(\mathbf x)$ and $\mu(\mathbf x)$, it is shown that the spectrum of the Maxwell operator is absolutely continuous.