RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2002 Volume 288, Pages 232–255 (Mi znsl1591)

This article is cited in 7 papers

Absolute continuity of the spectrum of the periodic Maxwell operator in a layer

T. A. Suslina

St. Petersburg State University, Faculty of Physics

Abstract: 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.

UDC: 517

Received: 10.06.2002


 English version:
Journal of Mathematical Sciences (New York), 2004, 123:6, 5654–4667

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024