A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures.
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| Title: | A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. |
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| Authors: | Vidal-Codina, F.1 fvidal@mit.edu, Nguyen, N.C.1 cuongng@mit.edu, Oh, S.-H.2 sang@umn.edu, Peraire, J.1 peraire@mit.edu |
| Source: | Journal of Computational Physics. Feb2018, Vol. 355, p548-565. 18p. |
| Subjects: | Metal nanoparticles, Electromagnetism, Galerkin methods, Electronic excitation, Electrodynamics, Maxwell equations |
| Abstract: | 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. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 126897718 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Vidal-Codina%2C+F%2E%22">Vidal-Codina, F.</searchLink><relatesTo>1</relatesTo><i> fvidal@mit.edu</i><br /><searchLink fieldCode="AR" term="%22Nguyen%2C+N%2EC%2E%22">Nguyen, N.C.</searchLink><relatesTo>1</relatesTo><i> cuongng@mit.edu</i><br /><searchLink fieldCode="AR" term="%22Oh%2C+S%2E-H%2E%22">Oh, S.-H.</searchLink><relatesTo>2</relatesTo><i> sang@umn.edu</i><br /><searchLink fieldCode="AR" term="%22Peraire%2C+J%2E%22">Peraire, J.</searchLink><relatesTo>1</relatesTo><i> peraire@mit.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+Physics%22">Journal of Computational Physics</searchLink>. Feb2018, Vol. 355, p548-565. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Metal+nanoparticles%22">Metal nanoparticles</searchLink><br /><searchLink fieldCode="DE" term="%22Electromagnetism%22">Electromagnetism</searchLink><br /><searchLink fieldCode="DE" term="%22Galerkin+methods%22">Galerkin methods</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+excitation%22">Electronic excitation</searchLink><br /><searchLink fieldCode="DE" term="%22Electrodynamics%22">Electrodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Maxwell+equations%22">Maxwell equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jcp.2017.11.025 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 548 Subjects: – SubjectFull: Metal nanoparticles Type: general – SubjectFull: Electromagnetism Type: general – SubjectFull: Galerkin methods Type: general – SubjectFull: Electronic excitation Type: general – SubjectFull: Electrodynamics Type: general – SubjectFull: Maxwell equations Type: general Titles: – TitleFull: A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Vidal-Codina, F. – PersonEntity: Name: NameFull: Nguyen, N.C. – PersonEntity: Name: NameFull: Oh, S.-H. – PersonEntity: Name: NameFull: Peraire, J. IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 02 Text: Feb2018 Type: published Y: 2018 Identifiers: – Type: issn-print Value: 00219991 Numbering: – Type: volume Value: 355 Titles: – TitleFull: Journal of Computational Physics Type: main |
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