A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures
The interaction of light with metallic nanostructures produces a collective excitation of electrons at the metal surface, also known as surface plasmons. These collective excitations lead to resonances that enable the confinement of light in deep-subwavelength regions, thereby leading to large near-...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier BV
2020
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| Online Access: | https://hdl.handle.net/1721.1/124815 |
| _version_ | 1811074371326836736 |
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| author | Vidal-Codina, Ferran Nguyen, Ngoc Cuong Oh, S. -H. Peraire, Jaime |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Vidal-Codina, Ferran Nguyen, Ngoc Cuong Oh, S. -H. Peraire, Jaime |
| author_sort | Vidal-Codina, Ferran |
| collection | MIT |
| description | The interaction of light with metallic nanostructures produces a collective excitation of electrons at the metal surface, also known as surface plasmons. These collective excitations lead to resonances that enable the confinement of light in deep-subwavelength regions, thereby leading to large near-field enhancements. The simulation of plasmon resonances presents notable challenges. From the modeling perspective, the realistic behavior of conduction-band electrons in metallic nanostructures is not captured by Maxwell's equations, thus requiring additional modeling. From the simulation perspective, the disparity in length scales stemming from the extreme field localization demands efficient and accurate numerical methods. In this paper, we develop the hybridizable discontinuous Galerkin (HDG) method to solve Maxwell's equations augmented with the hydrodynamic model for the conduction-band electrons in noble metals. This method enables the efficient simulation of plasmonic nanostructures while accounting for the nonlocal interactions between electrons and the incident light. We introduce a novel postprocessing scheme to recover superconvergent solutions and demonstrate the convergence of the proposed HDG method for the simulation of a 2D gold nanowire and a 3D periodic annular nanogap structure. The results of the hydrodynamic model are compared to those of a simplified local response model, showing that differences between them can be significant at the nanoscale. ©2018 |
| first_indexed | 2024-09-23T09:48:01Z |
| format | Article |
| id | mit-1721.1/124815 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:48:01Z |
| publishDate | 2020 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1248152022-09-30T16:56:15Z A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures Vidal-Codina, Ferran Nguyen, Ngoc Cuong Oh, S. -H. Peraire, Jaime Massachusetts Institute of Technology. Department of Aeronautics and Astronautics The interaction of light with metallic nanostructures produces a collective excitation of electrons at the metal surface, also known as surface plasmons. These collective excitations lead to resonances that enable the confinement of light in deep-subwavelength regions, thereby leading to large near-field enhancements. The simulation of plasmon resonances presents notable challenges. From the modeling perspective, the realistic behavior of conduction-band electrons in metallic nanostructures is not captured by Maxwell's equations, thus requiring additional modeling. From the simulation perspective, the disparity in length scales stemming from the extreme field localization demands efficient and accurate numerical methods. In this paper, we develop the hybridizable discontinuous Galerkin (HDG) method to solve Maxwell's equations augmented with the hydrodynamic model for the conduction-band electrons in noble metals. This method enables the efficient simulation of plasmonic nanostructures while accounting for the nonlocal interactions between electrons and the incident light. We introduce a novel postprocessing scheme to recover superconvergent solutions and demonstrate the convergence of the proposed HDG method for the simulation of a 2D gold nanowire and a 3D periodic annular nanogap structure. The results of the hydrodynamic model are compared to those of a simplified local response model, showing that differences between them can be significant at the nanoscale. ©2018 AFOSR (grant no. FA9550-11-1-0141) AFOSR (grant no. FA9550-12-0357) 2020-04-22T19:47:07Z 2020-04-22T19:47:07Z 2018-02 2019-09-26T15:33:49Z Article http://purl.org/eprint/type/JournalArticle 1090-2716 https://hdl.handle.net/1721.1/124815 Vidal-Codina, F., N. C. Nguyen, S.-H. Oh, and J. Peraire, "A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures." Journal of computational physics 355, 15 (February 2018): p. 548-65 doi 10.1016/J.JCP.2017.11.025 ©2018 Author(s) en 10.1016/J.JCP.2017.11.025 Journal of computational physics Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV arXiv |
| spellingShingle | Vidal-Codina, Ferran Nguyen, Ngoc Cuong Oh, S. -H. Peraire, Jaime A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures |
| title | A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures |
| title_full | A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures |
| title_fullStr | A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures |
| title_full_unstemmed | A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures |
| title_short | A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures |
| title_sort | hybridizable discontinuous galerkin method for computing nonlocal electromagnetic effects in three dimensional metallic nanostructures |
| url | https://hdl.handle.net/1721.1/124815 |
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