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Theory of the Casimir effect in one-dimensional periodic dielectric systems. (English) Zbl 1170.81409

Summary: We derive an exact theory of the Casimir interaction between two arbitrary dielectric gratings with coinciding periods d. We then express the Casimir energy for two dielectric gratings or periodic dielectrics with coinciding periods in terms of Rayleigh coefficients.

MSC:

81T05 Axiomatic quantum field theory; operator algebras
81T99 Quantum field theory; related classical field theories
81V10 Electromagnetic interaction; quantum electrodynamics
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References:

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