Theoretical and numerical analysis of a non-local dispersion model for light interaction with metallic nanostructures
Document Type
Article
Publication Date
1-1-2016
Publication Title
Computers and Mathematics with Applications
Volume
72
Issue
4
First page number:
921
Last page number:
932
Abstract
In this paper, we discuss the time-domain Maxwell's equations coupled to another partial differential equation, which arises from modeling of light and structure interaction at the nanoscale. One major contribution of this paper is that the well-posedness is rigorously justified for the first time. Then we propose a fully-discrete finite element method to solve this model. It is interesting to note that we need use curl conforming, divergence conforming, and L2 finite elements for this model. Numerical stability and optimal error estimate of the scheme are proved. Numerical results justifying our theoretical convergence rate are presented. © 2016 Elsevier Ltd
Keywords
Maxwell's equations; Non-local dispersion model; Nédélec finite elements
Language
English
Repository Citation
Huang, Y.,
Li, J.,
Yang, W.
(2016).
Theoretical and numerical analysis of a non-local dispersion model for light interaction with metallic nanostructures.
Computers and Mathematics with Applications, 72(4),
921-932.
http://dx.doi.org/10.1016/j.camwa.2016.06.003