Dipole excitation of surface plasmon on a conducting sheet: Finite element approximation and validation

5Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

Abstract

We formulate and validate a finite element approach to the propagation of a slowly decaying electromagnetic wave, called surface plasmon–polariton, excited along a conducting sheet, e.g., a single-layer graphene sheet, by an electric Hertzian dipole. By using a suitably rescaled form of time-harmonic Maxwell's equations, we derive a variational formulation that enables a direct numerical treatment of the associated class of boundary value problems by appropriate curl-conforming finite elements. The conducting sheet is modeled as an idealized hypersurface with an effective electric conductivity. The requisite weak discontinuity for the tangential magnetic field across the hypersurface can be incorporated naturally into the variational formulation. We carry out numerical simulations for an infinite sheet with constant isotropic conductivity embedded in two spatial dimensions; and validate our numerics against the closed-form exact solution obtained by the Fourier transform in the tangential coordinate. Numerical aspects of our treatment such as an absorbing perfectly matched layer, as well as local refinement and a posteriori error control are discussed.

Cite

CITATION STYLE

APA

Maier, M., Margetis, D., & Luskin, M. (2017). Dipole excitation of surface plasmon on a conducting sheet: Finite element approximation and validation. Journal of Computational Physics, 339, 126–145. https://doi.org/10.1016/j.jcp.2017.03.014

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free