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arxiv: 1801.10440 · v1 · pith:EVTYLARSnew · submitted 2018-01-31 · 🧮 math-ph · math.MP· math.SP

The Maxwell operator with periodic coefficients in a cylinder

classification 🧮 math-ph math.MPmath.SP
keywords cylindermaxwelloperatorcoefficientsperiodicabsolutelyalongaxis
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In the paper we consider the Maxwell operator in a three-dimensional cylinder with coefficients periodic along the axis of a cylinder. It is proved that for cylinders with circular and rectangular cross-section the spectrum of the Maxwell operator is absolutely continuous.

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