Homogenization of plasmonic crystals: seeking the epsilon-near-zero effect.
Proc Math Phys Eng Sci
; 475(2230): 20190220, 2019 Oct.
Article
in En
| MEDLINE
| ID: mdl-31736641
ABSTRACT
By using an asymptotic analysis and numerical simulations, we derive and investigate a system of homogenized Maxwell's equations for conducting material sheets that are periodically arranged and embedded in a heterogeneous and anisotropic dielectric host. This structure is motivated by the need to design plasmonic crystals that enable the propagation of electromagnetic waves with no phase delay (epsilon-near-zero effect). Our microscopic model incorporates the surface conductivity of the two-dimensional (2D) material of each sheet and a corresponding line charge density through a line conductivity along possible edges of the sheets. Our analysis generalizes averaging principles inherent in previous Bloch-wave approaches. We investigate physical implications of our findings. In particular, we emphasize the role of the vector-valued corrector field, which expresses microscopic modes of surface waves on the 2D material. We demonstrate how our homogenization procedure may set the foundation for computational investigations of effective optical responses of reasonably general geometries, and complicated design problems in the plasmonics of 2D materials.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Type of study:
Prognostic_studies
Language:
En
Journal:
Proc Math Phys Eng Sci
Year:
2019
Document type:
Article