Computing parametrized solutions for plasmonic nanogap structures

JOURNAL OF COMPUTATIONAL PHYSICS

卷:366

Article

Vidal-Codina, F.¹  Nguyen, N. C.¹  Peraire, J.¹ 

[1] MIT, Dept Aeronaut & Astronaut, Cambridge, MA 02139 USA

关键词: Hybridizable discontinuous Galerkin method;    Parametrized solutions;    Reduced order modeling;    Time-harmonic Maxwell's equations;    Plasmonics;    Coaxial nanogap;   

DOI  :  10.1016/j.jcp.2018.04.009

来源: Elsevier

【 摘 要 】

The interaction of electromagnetic waves with metallic nanostructures generates resonant oscillations of the conduction-band electrons at the metal surface. These resonances can lead to large enhancements of the incident field and to the confinement of light to small regions, typically several orders of magnitude smaller than the incident wavelength. The accurate prediction of these resonances entails several challenges. Small geometric variations in the plasmonic structure may lead to large variations in the electromagnetic field responses. Furthermore, the material parameters that characterize the optical behavior of metals at the nanoscale need to be determined experimentally and are consequently subject to measurement errors. It then becomes essential that any predictive tool for the simulation and design of plasmonic structures accounts for fabrication tolerances and measurement uncertainties. In this paper, we develop a reduced order modeling framework that is capable of realtime accurate electromagnetic responses of plasmonic nanogap structures for a wide range of geometry and material parameters. The main ingredients of the proposed method are: (i) the hybridizable discontinuous Galerkin method to numerically solve the equations governing electromagnetic wave propagation in dielectric and metallic media, (ii) a reference domain formulation of the time-harmonic Maxwell's equations to account for arbitrary geometry variations; and (iii) proper orthogonal decomposition and empirical interpolation techniques to construct an efficient reduced model. To demonstrate effectiveness of the models developed, we analyze geometry sensitivities and explore optimal designs of a 3D periodic coaxial nanogap structure. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free