2024-03-28T17:26:04Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/1178272020-05-28T07:39:40Zcom_10261_31com_10261_3col_10261_284
DIGITAL.CSIC
author
García Pomar, Juan Luis
author
Nikitin, Alexey Y.
author
Martín-Moreno, Luis
funder
Ministerio de Ciencia e Innovación (España)
2015-07-10T11:05:10Z
2015-07-10T11:05:10Z
2013
ACS Nano 7(6): 4988-4994 (2013)
http://hdl.handle.net/10261/117827
10.1021/nn400342v
http://dx.doi.org/10.13039/501100004837
A theoretical study is presented on the scattering of graphene surface plasmons (GSPs) by defects in the graphene sheet they propagate in. These defects can be either natural (as domain boundaries, ripples, and cracks, among others) or induced by an external gate. The scattering is shown to be governed by an integral equation, derived from a plane wave expansion of the fields, which in general must be solved numerically, but it provides useful analytical results for small defects. Two main cases are considered: smooth variations of the graphene conductivity (characterized by a Gaussian conductivity profile) and sharp variations (represented by islands with different conductivity). In general, reflection largely dominates over radiation out of the graphene sheet. However, in the case of sharply defined conductivity islands, there are some values of island size and frequency where the reflectance vanishes and, correspondingly, the radiation out-of-plane is the main scattering process. For smooth defects, the reflectance spectra present a single maximum at the condition kpa ≈ √2, where kp is the GSP wavevector and a is the spatial width of the defect. In contrast, the reflectance spectra of sharp defects present periodic oscillations with period kp′a, where kp′ is the GSP wavelength inside the defect. Finally, the case of cracks (gaps in the graphene conductivity) is considered, showing that the reflectance is practically unity for gap widths larger than one-tenth of the GSP wavelength. © 2013 American Chemical Society.
eng
openAccess
Plasmon propagation
Conductivity defect
Graphene plasmons
Scattering
Scattering of graphene plasmons by defects in the graphene sheet
artículo
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