Towards more general constitutive relations for metamaterials: A checklist for consistent formulations Article Swipe
Fatima Z. Goffi
,
Karim Mnasri
,
Michael Plum
,
Carsten Rockstuhl
,
Andrii Khrabustovskyi
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.101.195411
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.101.195411
When the period of unit-cells constituting metamaterials is no longer much smaller than the wavelength but only smaller, local material laws fail to describe the propagation of light in such composite media when considered at the effective level. Instead, nonlocal material laws are required. They have to be derived by approximating a general response function of the electric field in the metamaterial at the effective level that is accurate but cannot be handled practically. But how to perform this approximation is not obvious at all. Indeed many approximations can be perceived and one should be able to decide as quick as possible which of these possible material laws are mathematically and physically meaningful at all. Here, at the example of a second order Padé approximation of the general response function of the electric field, we present a checklist each possible constitutive relation has to pass in order to be physically and mathematically liable. As will be shown, only one out of these nine Padé approximations passes the checklist. The work is meant to be a guideline applicable to decide which constitutive relation makes actually sense at all. It is an essential ingredient for future research on composite media as any possible constitutive relation to be discussed should pass it.
Related Topics
Concepts
Metamaterial
Relation (database)
Constitutive equation
Field (mathematics)
Function (biology)
Computer science
Checklist
Theoretical physics
Applied mathematics
Physics
Mathematics
Finite element method
Optics
Pure mathematics
Thermodynamics
Psychology
Database
Cognitive psychology
Biology
Evolutionary biology
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevb.101.195411
- OA Status
- green
- Cited By
- 11
- References
- 65
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2997673648
All OpenAlex metadata
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https://openalex.org/W2997673648Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physrevb.101.195411Digital Object Identifier
- Title
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Towards more general constitutive relations for metamaterials: A checklist for consistent formulationsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2020Year of publication
- Publication date
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2020-05-08Full publication date if available
- Authors
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Fatima Z. Goffi, Karim Mnasri, Michael Plum, Carsten Rockstuhl, Andrii KhrabustovskyiList of authors in order
- Landing page
-
https://doi.org/10.1103/physrevb.101.195411Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://doi.org/10.5445/ir/1000104493Direct OA link when available
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Metamaterial, Relation (database), Constitutive equation, Field (mathematics), Function (biology), Computer science, Checklist, Theoretical physics, Applied mathematics, Physics, Mathematics, Finite element method, Optics, Pure mathematics, Thermodynamics, Psychology, Database, Cognitive psychology, Biology, Evolutionary biologyTop concepts (fields/topics) attached by OpenAlex
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11Total citation count in OpenAlex
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2024: 3, 2021: 8Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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