Regular Article – Quantum Optics
The molecular spontaneous emission rate evaluation in a dispersive and dissipative Fabry–Perot cavity, a field quantization approach
Department of Physics, The Persian Gulf University, 75169, Bushehr, Iran
Accepted: 15 August 2021
Published online: 15 September 2021
By using the vector potential operator commutation relations, for a molecule (or generally an emitter) placed between two infinite identical dielectric slabs and with the given transition frequency and electric dipole moment, the spontaneous emission rate is evaluated via Fermi golden rule. Molecules with the electric dipole moment parallel and perpendicular to the slabs are considered separately, and for each orientation, a typical variation of the emission rate in the space of the cavity is demonstrated. In the used quantization scheme, the dielectric functions of the slabs can be an arbitrary complex function of frequency (satisfying Kramers–Kronig relations) and thus, slabs generally can be dissipative and dispersive. By showing the agreement of this quantization approach with two previous green function approaches, in evaluating the spontaneous emission rate in a Fabry–Perot cavity, the consistency between field quantization and Green function approaches is shown.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021