2012/08/07 by Alexey Y. Nikitin, F. J. García‐Vidal, Nikitin, A. Yu. +3 · 5 citations
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Metamaterials and Metasurfaces Applications #Other Condensed Matter (cond-mat.other) #Photonic Crystals and Applications #Plasmonic and Surface Plasmon Research
paper · pdf · doi:10.48550/arxiv.1208.1397
openalex publication_date 2012/08/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
An analytical general analysis of the electromagnetic Dyadic Green's Function for two-dimensional sheet (or a very thin film) is presented, with an emphasis on 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.