Efficient Wideband Numerical Simulations for Nanostructures Employing a Drude-Critical Points (DCP) Dispersive Model

Abstract A highly efficient numerical approach for simulating the wideband optical response of nano-architectures comprised of Drude-Critical Points (DCP) media (e.g., gold and silver) is proposed and validated through comparing with commercial computational software. The kernel of this algorithm is...

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Autores principales:	Qiang Ren, Jogender Nagar, Lei Kang, Yusheng Bian, Ping Werner, Douglas H. Werner
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/49be950d7324484db694bb4d62563643
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spelling	oai:doaj.org-article:49be950d7324484db694bb4d625636432021-12-02T12:30:27ZEfficient Wideband Numerical Simulations for Nanostructures Employing a Drude-Critical Points (DCP) Dispersive Model10.1038/s41598-017-02194-12045-2322https://doaj.org/article/49be950d7324484db694bb4d625636432017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02194-1https://doaj.org/toc/2045-2322Abstract A highly efficient numerical approach for simulating the wideband optical response of nano-architectures comprised of Drude-Critical Points (DCP) media (e.g., gold and silver) is proposed and validated through comparing with commercial computational software. The kernel of this algorithm is the subdomain level discontinuous Galerkin time domain (DGTD) method, which can be viewed as a hybrid of the spectral-element time-domain method (SETD) and the finite-element time-domain (FETD) method. An hp-refinement technique is applied to decrease the Degrees-of-Freedom (DoFs) and computational requirements. The collocated E-J scheme facilitates solving the auxiliary equations by converting the inversions of matrices to simpler vector manipulations. A new hybrid time stepping approach, which couples the Runge-Kutta and Newmark methods, is proposed to solve the temporal auxiliary differential equations (ADEs) with a high degree of efficiency. The advantages of this new approach, in terms of computational resource overhead and accuracy, are validated through comparison with well-known commercial software for three diverse cases, which cover both near-field and far-field properties with plane wave and lumped port sources. The presented work provides the missing link between DCP dispersive models and FETD and/or SETD based algorithms. It is a competitive candidate for numerically studying the wideband plasmonic properties of DCP media.Qiang RenJogender NagarLei KangYusheng BianPing WernerDouglas H. WernerNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-10 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Qiang Ren Jogender Nagar Lei Kang Yusheng Bian Ping Werner Douglas H. Werner Efficient Wideband Numerical Simulations for Nanostructures Employing a Drude-Critical Points (DCP) Dispersive Model
description	Abstract A highly efficient numerical approach for simulating the wideband optical response of nano-architectures comprised of Drude-Critical Points (DCP) media (e.g., gold and silver) is proposed and validated through comparing with commercial computational software. The kernel of this algorithm is the subdomain level discontinuous Galerkin time domain (DGTD) method, which can be viewed as a hybrid of the spectral-element time-domain method (SETD) and the finite-element time-domain (FETD) method. An hp-refinement technique is applied to decrease the Degrees-of-Freedom (DoFs) and computational requirements. The collocated E-J scheme facilitates solving the auxiliary equations by converting the inversions of matrices to simpler vector manipulations. A new hybrid time stepping approach, which couples the Runge-Kutta and Newmark methods, is proposed to solve the temporal auxiliary differential equations (ADEs) with a high degree of efficiency. The advantages of this new approach, in terms of computational resource overhead and accuracy, are validated through comparison with well-known commercial software for three diverse cases, which cover both near-field and far-field properties with plane wave and lumped port sources. The presented work provides the missing link between DCP dispersive models and FETD and/or SETD based algorithms. It is a competitive candidate for numerically studying the wideband plasmonic properties of DCP media.
format	article
author	Qiang Ren Jogender Nagar Lei Kang Yusheng Bian Ping Werner Douglas H. Werner
author_facet	Qiang Ren Jogender Nagar Lei Kang Yusheng Bian Ping Werner Douglas H. Werner
author_sort	Qiang Ren
title	Efficient Wideband Numerical Simulations for Nanostructures Employing a Drude-Critical Points (DCP) Dispersive Model
title_short	Efficient Wideband Numerical Simulations for Nanostructures Employing a Drude-Critical Points (DCP) Dispersive Model
title_full	Efficient Wideband Numerical Simulations for Nanostructures Employing a Drude-Critical Points (DCP) Dispersive Model
title_fullStr	Efficient Wideband Numerical Simulations for Nanostructures Employing a Drude-Critical Points (DCP) Dispersive Model
title_full_unstemmed	Efficient Wideband Numerical Simulations for Nanostructures Employing a Drude-Critical Points (DCP) Dispersive Model
title_sort	efficient wideband numerical simulations for nanostructures employing a drude-critical points (dcp) dispersive model
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/49be950d7324484db694bb4d62563643
work_keys_str_mv	AT qiangren efficientwidebandnumericalsimulationsfornanostructuresemployingadrudecriticalpointsdcpdispersivemodel AT jogendernagar efficientwidebandnumericalsimulationsfornanostructuresemployingadrudecriticalpointsdcpdispersivemodel AT leikang efficientwidebandnumericalsimulationsfornanostructuresemployingadrudecriticalpointsdcpdispersivemodel AT yushengbian efficientwidebandnumericalsimulationsfornanostructuresemployingadrudecriticalpointsdcpdispersivemodel AT pingwerner efficientwidebandnumericalsimulationsfornanostructuresemployingadrudecriticalpointsdcpdispersivemodel AT douglashwerner efficientwidebandnumericalsimulationsfornanostructuresemployingadrudecriticalpointsdcpdispersivemodel
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Efficient Wideband Numerical Simulations for Nanostructures Employing a Drude-Critical Points (DCP) Dispersive Model

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