Multiscale Approach and The Convergence for the time-dependent Maxwell-Schr\"{o}dinger System in Heterogeneous Nanostructures
Numerical Analysis
2017-03-08 v1
Abstract
This paper discusses the multiscale approach and the convergence of the time-dependent Maxwell-Schr\"{o}dinger system with rapidly oscillating discontinuous coefficients arising from the modeling of a heterogeneous nanostructure with a periodic microstructure. The homogenization method and the multiscale asymptotic method for the nonlinear coupled equations are presented. The efficient numerical algorithms based on the above methods are proposed. Numerical simulations are then carried out to validate the method presented in this paper.
Keywords
Cite
@article{arxiv.1703.02351,
title = {Multiscale Approach and The Convergence for the time-dependent Maxwell-Schr\"{o}dinger System in Heterogeneous Nanostructures},
author = {Liqun Cao and Chupeng Ma and Jianlan Luo and Lei Zhang},
journal= {arXiv preprint arXiv:1703.02351},
year = {2017}
}