Journal
IEEE JOURNAL OF SELECTED TOPICS IN QUANTUM ELECTRONICS
Volume 19, Issue 3, Pages -Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JSTQE.2012.2226147
Keywords
Dyadic Green's function (DGF); graphene; plasmon; thin films
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Funding
- Spanish Ministry of Education, Culture and Sport [MAT2011-28581-C02-02]
- Consolider Project Nanolight.es
- European Research Council [290981]
- European Research Council (ERC) [290981] Funding Source: European Research Council (ERC)
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An analytical general analysis of the electromagnetic dyadic Green's function for 2-D sheet (or a very thin film) is presented, with an emphasis on the case of graphene. A modified steepest descent treatment of the fields from a point dipole given in the form of Sommerfeld integrals is performed. We sequentially derive the expressions for both out-of-plane and in-plane fields of both polarizations. It is shown that the analytical approximation provided is very precise in a wide range of distances from a point source down to a deep subwavelength region (1/100 of wavelength). We separate the contribution from the pole, the branch point, and discuss their interference. The asymptotic expressions for the fields are composed of the plasmon, Norton wave, and the components corresponding to free space.
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