Light propagation: From dielectrics to curved spacetimes
Departamento de Física, CCEN, Universidade Federal da Paraíba - Caixa Postal 5008, 58059-900, João Pessoa, PB, Brazil
Accepted: 23 March 2011
We investigate the light propagation through time-dependent dielectric linear media in the absence of free charges and in curved spacetimes. Remarkably, we find that the light propagation in the two cases present amazing similarities, both classically and quantum mechanically. We also establish the connection between a permittivity with an exponential time accretion and the de Sitter spacetime. Surprisingly, for the de Sitter spacetime, the properties of light propagation can be analyzed in terms of a bona fide simple harmonic oscillator.
PACS: 03.50.De – Classical electromagnetism, Maxwell equations / 04.62.+v – Quantum fields in curved spacetime / 42.50.Ct – Quantum description of interaction of light and matter; related experiments
© EPLA, 2011