PhysRevA.79.043834.pdf (119.86 kB)
Completeness of evanescent modes in layered dielectrics
journal contribution
posted on 2023-06-08, 00:40 authored by Ana María Contreras-Reyes, Claudia EberleinIn 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.
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- Published
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- Published version
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Physical Review AISSN
1050-2947External DOI
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4Volume
79Page range
043834-1-043834-7Pages
7.0Department affiliated with
- Physics and Astronomy Publications
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- Yes
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- Yes
Legacy Posted Date
2012-02-06First Open Access (FOA) Date
2016-03-22First Compliant Deposit (FCD) Date
2017-03-12Usage metrics
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