THEORY OF THE CASIMIR EFFECT IN ONE-DIMENSIONAL PERIODIC DIELECTRIC SYSTEMS

Astrid Lambrecht (1) , Valery N. Marachevsky (1)

1 LKB (Jussieu) - Laboratoire Kastler Brossel

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.

Domaines: Physique Quantique [quant-ph]

Astrid Lambrecht, Valery N. Marachevsky. THEORY OF THE CASIMIR EFFECT IN ONE-DIMENSIONAL PERIODIC DIELECTRIC SYSTEMS. International Journal of Modern Physics A, 2009, 24, pp.1789. ⟨10.1142/S0217751X09045364⟩. ⟨hal-00384051⟩