Numerical solution of nonlocal hydrodynamic Drude model for arbitrary shaped nano-plasmonic structures using Nedelec finite elements

JOURNAL OF COMPUTATIONAL PHYSICS

卷:231

Article

Hiremath, Kirankumar R.¹  Zschiedrich, Lin²  Schmidt, Frank¹ 

[1] Konrad Zuse Zentrum Informat Tech Berlin, Computat Nanoopt Grp, Dept Numer Anal & Modelling, D-14195 Berlin, Germany

[2] JCMwave GmbH, D-14050 Berlin, Germany

关键词: Maxwell's equations;    Plasmonics;    Nonlocal response;    Hydrodynamic model;    Nedelec finite elements;    Conforming finite elements;   

DOI  :  10.1016/j.jcp.2012.05.013

来源: Elsevier

【 摘 要 】

Nonlocal material response distinctively changes the optical properties of nano-plasmonic scatterers and waveguides. It is described by the nonlocal hydrodynamic Drude model, which - in frequency domain - is given by a coupled system of equations for the electric field and an additional polarization current of the electron gas modeled analogous to a hydrodynamic flow. Recent attempt to simulate such nonlocal model using the finite difference time domain method encountered difficulties in dealing with the grad-div operator appearing in the governing equation of the hydrodynamic current. Therefore, in these studies the model has been simplified with the curl-free hydrodynamic current approximation; but this causes spurious resonances. In this paper we present a rigorous weak formulation in the Sobolev spaces H(curl) for the electric field and H(div) for the hydrodynamic current, which directly leads to a consistent discretization based on Nedelec's finite element spaces. Comparisons with the Mie theory results agree well. We also demonstrate the capability of the method to handle any arbitrary shaped scatterer. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free