Completeness of evanescent modes in layered dielectrics

Contreras-Reyes, Ana María and Eberlein, Claudia (2009) Completeness of evanescent modes in layered dielectrics. Physical Review A, 79 (4). 043834-1-043834-7. ISSN 1050-2947

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In the presence of a dielectric slab, the modes of the free electromagnetic field comprise traveling modes, consisting of incoming, reflected, and transmitted parts, as well as trapped modes that are subject to repeated total internal reflection and emerge as evanescent field outside the slab. Traveling modes have a continuous range of frequencies, but trapped modes occur only at certain discrete frequencies. We solve the problem of which relative weight to use when summing over all modes, as commonly required in perturbative calculations. We demonstrate the correctness of our method by showing the completeness of electromagnetic field modes in the presence of a dielectric slab. We derive a convenient method of summing over all modes by means of a single contour integral, which is very useful in standard quantum electrodynamic calculations.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Depositing User: Claudia Eberlein
Date Deposited: 06 Feb 2012 19:57
Last Modified: 02 Jul 2019 21:31

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