Work

Mathematical and numerical analysis of a nonlocal Drude model in nanoplasmonics

Year: 2019

Type: preprint

Abstract: In this paper, we consider the frequency-domain Maxwell's equations coupled to a nonlocal Drude model which describes the nonlocal optical response in metallic nanostructures. We prove the existence and uniqueness of weak solutions to the coupled equations. A Galerkin finite element method based on the Raviart--Thomas and Nédélec elements is proposed to solve the equations and the associated error estimates are given. This is the first work on the mathematical and numerical analysis of this model. Numerical examples are presented to verify our theoretical analysis.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1906.04790

Authors: Ma, Chupeng, Zhang, Yongwei, Zou, Jun

Institutions: Hong Kong Polytechnic University, Zhengzhou University, Chinese University of Hong Kong

Language: English

Topic: Plasmonic and Surface Plasmon Research

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2950352811

Cites: 22

Cited by: 4

Related to: 10