Solving partial differential equations with waveguide-based metatronic networks Article Swipe
Ross Glyn MacDonald
,
Alex Yakovlev
,
Víctor Pacheco‐Peña
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2401.00861
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2401.00861
Photonic computing has recently become an interesting paradigm for high-speed calculation of computing processes using light-matter interactions. Here, we propose and study an electromagnetic wave-based structure with the ability to calculate the solution of partial differential equations in the form of the Helmholtz wave equation. To do this, we make use of a network of interconnected waveguides filled with dielectric inserts. In so doing, it is shown how the proposed network can mimic the response of a network of T-circuit elements formed by two series and a parallel impedance, i.e., the waveguide network effectively behaves as a metatronic network. An in-depth theoretical analysis of the proposed metatronic structure is presented showing how the governing equation for the currents and impedances of the metatronic network resembles that of the finite difference representation of the Helmholtz wave equation. Different studies are then discussed including the solution of partial differential equations for Dirichlet and open boundary value problems, demonstrating how the proposed metatronic-based structure has the ability to calculate their solutions.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2401.00861
- https://arxiv.org/pdf/2401.00861
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4390573134
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4390573134Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2401.00861Digital Object Identifier
- Title
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Solving partial differential equations with waveguide-based metatronic networksWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-12-21Full publication date if available
- Authors
-
Ross Glyn MacDonald, Alex Yakovlev, Víctor Pacheco‐PeñaList of authors in order
- Landing page
-
https://arxiv.org/abs/2401.00861Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2401.00861Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2401.00861Direct OA link when available
- Concepts
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Helmholtz equation, Partial differential equation, Boundary value problem, Differential equation, Mathematical analysis, Electrical impedance, Wave equation, Representation (politics), Waveguide, Mathematics, Physics, Computer science, Optics, Quantum mechanics, Politics, Law, Political scienceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.5 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile |