We derive effective photon modes that facilitate an intuitive and convenient picture of photon dynamics in a structured Kramers-Kronig dielectric in the limit of weak absorption. Each mode is associated with a mode field distribution that includes the effects of both material and structural dispersion, and an effective line-width that determines the temporal decay rate of the photon. These results are then applied to obtain an expression for the Beer-Lambert-Bouguer law absorption coefficient for unidirectional propagation in structured media consisting of dispersive, weakly absorptive dielectric materials.
Bibliographical noteCopyright 2014 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. First published in New J. Phys. 16, 043028. The original publication is available at http://www.doi.org/10.1088/1367-2630/16/4/043028, published by IOP Publishing. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.
- quantum optics
- beer law
- dissipative systems