Field theoretic description of electromagnetic boundaries: The Casimir effect between dissimilar mirrors from external potentials

Abstract

In a previous work we formulated a model of semitransparent dielectric surfaces, coupled to the electromagnetic field by means of an effective potential. Here we consider a setup with two dissimilar mirrors, and compute exactly the correction undergone by the photon propagator due to the presence of both plates. It turns out that this new propagator is continuous all over the space and, in the appropriate limit, coincides with the one used to describe the Casimir effect between perfect conductors. The amended Green function is then used to calculate the Casimir energy between the uniaxial dielectric surfaces described by the model, and a numerical analysis is carried out to highlight the peculiar behavior of the interaction between the mirrors.

7 pages, 3 figures

References in corpus (7)

• Electromagnetic semitransparent $\delta$-function plate: Casimir interaction energy between parallel infinitesimally thin plates
• Vacuum energies due to delta-like currents: simulating classical objects along branes with arbitrary codimensions
• Interactions between delta-like sources and potentials
• Field theoretic description of partially reflective surfaces
• Derivative expansion of the electromagnetic Casimir energy for two thin mirrors
• Vacuum energies and multipole interactions
• The Casimir force between dissimilar mirrors and the role of the surface plasmons

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• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• The role of scalar current coupling along surfaces
• One-dimensional scattering of fermions in double Dirac delta potentials
• A Two-Gauge Field Model for Magnetoelectric Boundaries
• On the Casimir effect from the zero-point energy: A tangential force and its properties
• Generalized Neumann boundary condition for the scalar field