Field theoretic description of partially reflective surfaces
arXiv:1410.0261 · doi:10.1103/PhysRevD.89.065020
Abstract
The issue of electric charges in interaction with partially reflective surfaces is addressed by means of field theoretic methods. It is proposed an enlarged Maxwell lagrangian, describing the electromagnetic field in the presence of a semitransparent surface, and its corresponding photon propagator is computed exactly. The amended Green function reduces to the one for a perfect conductor in the appropriate limit, and leads to the interaction between charges and surfaces with varying degrees of transparency, featured by a phenomenological parameter. The interaction found via image method is recovered, in the limiting case of perfect mirrors, as a testimony to the validity of the model.
5 pages, 1 figure
References in corpus (10)
- Functional approach to the fermionic Casimir effect
- Vacuum energies due to delta-like currents: simulating classical objects along branes with arbitrary codimensions
- Interactions between delta-like sources and potentials
- On the interaction of a charge with a thin plasma sheet
- Vacuum energies and multipole interactions
- Quantum Electrodynamics near a Huttner-Barnett dielectric
- The Casimir force between dissimilar mirrors and the role of the surface plasmons
- On The Influence of Two Parallel Plates on Atomic Levels
- Quantum electrodynamics of a free particle near dispersive dielectric or conducting boundaries
- Interaction of an atom with layered dielectrics
Cited by in corpus (9)
- Higher order derivative operators as quantum corrections
- Effects of the fermionic vacuum polarization in QED
- New point-like sources and a conducting surface in Maxwell-Chern-Simons electrodynamics
- Magnetoelectric boundary simulated by a Chern-Simons-like model
- Higher order derivatives extension of Maxwell-Chern-Simons electrodynamics in the presence of field sources and material boundaries
- Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
- Dirichlet boundary condition for the Lee-Wick-like scalar model
- Features of planar Lee-Wick electrodynamics
- Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics