Mode expansions in the quantum electrodynamics of photonic media with disorder
arXiv:1101.5556 · doi:10.1016/j.photonics.2011.06.008
Abstract
We address two issues in the quantum electrodynamical description of photonic media with some disorder, neglecting material dispersion. When choosing a gauge in which the static potential vanishes, the normal modes of the medium with disorder satisfy another transversality condition than the modes of the ideal medium. Our first result is an integral equation for optical modes such that all perturbation-theory solutions automatically satisfy the desired transversality condition. Secondly, when expanding the vector potential for the medium with disorder in terms of the normal modes of the ideal structure, we find the gauge transformation that makes the static potential zero, thereby generalizing work by Glauber and Lewenstein [Phys. Rev. A 43, 467 (1991)]. Our results are relevant for the quantum optics of disordered photonic crystals.
7 pages; accepted in Photonics and Nanostructures
References in corpus (13)
- Cavity Quantum Electrodynamics with Anderson-localized Modes
- Photonic-crystal slabs with a triangular lattice of triangular holes investigated using a guided-mode expansion method
- Quantum Correlations in Two-Particle Anderson Localization
- Bloch oscillations of Path-Entangled Photons
- Electromagnetic modes of a disordered photonic crystal
- Observation of spatial quantum correlations induced by multiple scattering of non-classical light
- Quantum interference and entanglement induced by multiple scattering of light
- Three dimensional theory for light matter interaction
- Entanglement and Thouless times from coincidence measurements across disordered media
- QED of excitons with nonlocal susceptibility in arbitrary-structured dielectrics
- Finite temperature Cherenkov radiation in the presence of a magnetodielectric medium
- Coupled-resonator optical waveguides: Q-factor and disorder influence
- Calculation of optical-waveguide grating characteristics using Green's functions and the Dyson's equation