On the use of the Padé-Fourier approximation in fast evaluation of the Green's function of layered media Article Swipe
Efficient Green's function evaluation in layered media is a holy-grail of wave theory in general and for electromagnetics in particular. While there is a very large amount of knowledge in this context with vast literature, there are yet challenging cases such as the Green's function in thick lossy media and the Green's function at thick media with negative parameters. Here we propose a technique that can nicely tackle these issues. Our approach is based on a rational function approximation of the spectra using the Fourier-Padé approximation that is carried out in a conformal mapped spectral plane. We show that this approach can be used in challenging scenarios such as very thick and lossy layers, materials with negative parameters such as in plasmonics, and even to approximate a dominant branch-cut contribution far from the source.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.48550/arxiv.2111.09089
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4286857408
All OpenAlex metadata
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https://openalex.org/W4286857408Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2111.09089Digital Object Identifier
- Title
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On the use of the Padé-Fourier approximation in fast evaluation of the Green's function of layered mediaWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-11-17Full publication date if available
- Authors
-
Yakir HadadList of authors in order
- Landing page
-
https://doi.org/10.48550/arxiv.2111.09089Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://doi.org/10.48550/arxiv.2111.09089Direct OA link when available
- Concepts
-
Function (biology), Fourier transform, Green S, Green's function, Materials science, Mathematics, Biological system, Physics, Mathematical analysis, Biology, Evolutionary biologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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