Efficient Higher Order Full-Wave Numerical Analysis of 3-D Cloaking Structures.
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| Title: | Efficient Higher Order Full-Wave Numerical Analysis of 3-D Cloaking Structures. |
|---|---|
| Authors: | Savić, Slobodan1, Manić, Ana2, Ilić, Milan, Notaroš, Branislav2 notaros@colostate.edu |
| Source: | Plasmonics. Jun2013, Vol. 8 Issue 2, p455-463. 9p. 4 Diagrams, 4 Graphs. |
| Subjects: | Full-wave rectifiers, Electromagnetic devices, Discretization methods, Coordinate transformations |
| Abstract: | Highly efficient and versatile computational electromagnetic analysis of 3-D transformation-based metamaterial cloaking structures based on a hybridization of a higher order finite element method for discretization of the cloaking region and a higher order method of moments for numerical termination of the computational domain is proposed and demonstrated. The technique allows for an effective modeling of the continuously inhomogeneous anisotropic cloaking region, for cloaks based on both linear and nonlinear coordinate transformations, using a very small number of large curved finite elements with continuous spatial variations of permittivity and permeability tensors and high-order p-refined field approximations throughout their volumes, with a very small total number of unknowns. In analysis, there is no need for a discretization of the permittivity and permeability profiles of the cloak, namely for piecewise homogeneous (layered) approximate models, with material tensors replaced by appropriate piecewise constant approximations. Numerical results show a very significant reduction (three to five orders of magnitude for the simplest possible 6-element model and five to seven orders of magnitude for an h-refined 24-element model) in the scattering cross section of a perfectly conducting sphere with a metamaterial cloak, in a broad range of wavelengths. Given the introduced explicit approximations in modeling of the spherical geometry and continuous material tensor profiles (both by fourth-order Lagrange interpolating functions), and inherent numerical approximations involved in the finite element and moment method techniques and codes, the cloaking effects are shown to be predicted rather accurately by the full-wave numerical analysis method. [ABSTRACT FROM AUTHOR] |
| Copyright of Plasmonics is the property of Springer Nature 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 87454669 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Efficient Higher Order Full-Wave Numerical Analysis of 3-D Cloaking Structures. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Savić%2C+Slobodan%22">Savić, Slobodan</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Manić%2C+Ana%22">Manić, Ana</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Ilić%2C+Milan%22">Ilić, Milan</searchLink><br /><searchLink fieldCode="AR" term="%22Notaroš%2C+Branislav%22">Notaroš, Branislav</searchLink><relatesTo>2</relatesTo><i> notaros@colostate.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Plasmonics%22">Plasmonics</searchLink>. Jun2013, Vol. 8 Issue 2, p455-463. 9p. 4 Diagrams, 4 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Full-wave+rectifiers%22">Full-wave rectifiers</searchLink><br /><searchLink fieldCode="DE" term="%22Electromagnetic+devices%22">Electromagnetic devices</searchLink><br /><searchLink fieldCode="DE" term="%22Discretization+methods%22">Discretization methods</searchLink><br /><searchLink fieldCode="DE" term="%22Coordinate+transformations%22">Coordinate transformations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Highly efficient and versatile computational electromagnetic analysis of 3-D transformation-based metamaterial cloaking structures based on a hybridization of a higher order finite element method for discretization of the cloaking region and a higher order method of moments for numerical termination of the computational domain is proposed and demonstrated. The technique allows for an effective modeling of the continuously inhomogeneous anisotropic cloaking region, for cloaks based on both linear and nonlinear coordinate transformations, using a very small number of large curved finite elements with continuous spatial variations of permittivity and permeability tensors and high-order p-refined field approximations throughout their volumes, with a very small total number of unknowns. In analysis, there is no need for a discretization of the permittivity and permeability profiles of the cloak, namely for piecewise homogeneous (layered) approximate models, with material tensors replaced by appropriate piecewise constant approximations. Numerical results show a very significant reduction (three to five orders of magnitude for the simplest possible 6-element model and five to seven orders of magnitude for an h-refined 24-element model) in the scattering cross section of a perfectly conducting sphere with a metamaterial cloak, in a broad range of wavelengths. Given the introduced explicit approximations in modeling of the spherical geometry and continuous material tensor profiles (both by fourth-order Lagrange interpolating functions), and inherent numerical approximations involved in the finite element and moment method techniques and codes, the cloaking effects are shown to be predicted rather accurately by the full-wave numerical analysis method. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Plasmonics is the property of Springer Nature 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: 10.1007/s11468-012-9410-0 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 455 Subjects: – SubjectFull: Full-wave rectifiers Type: general – SubjectFull: Electromagnetic devices Type: general – SubjectFull: Discretization methods Type: general – SubjectFull: Coordinate transformations Type: general Titles: – TitleFull: Efficient Higher Order Full-Wave Numerical Analysis of 3-D Cloaking Structures. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Savić, Slobodan – PersonEntity: Name: NameFull: Manić, Ana – PersonEntity: Name: NameFull: Ilić, Milan – PersonEntity: Name: NameFull: Notaroš, Branislav IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2013 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 15571955 Numbering: – Type: volume Value: 8 – Type: issue Value: 2 Titles: – TitleFull: Plasmonics Type: main |
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