Computation of the Biot-Savart Line Integral Article Swipe
One common approach to computing the magnetic field produced by a filamentary current-carrying coil is to approximate the coil as a series of straight segments. The Biot-Savart field from each straight segment is known analytically. However, if the endpoints of the straight segments are chosen to lie on the coil, then the accuracy of the Biot-Savart computation is generally only second-order in the number of endpoints. We propose a simple modification: shift each endpoint off the coil in the outwards normal direction by an amount proportional to the local curvature. With this modification, the Biot-Savart accuracy is higher order and the numerical error is dramatically reduced for a given number of discretization points.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://arxiv.org/abs/2105.12522
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- 6
- OpenAlex ID
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All OpenAlex metadata
Raw OpenAlex JSON
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- Title
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Computation of the Biot-Savart Line IntegralWork title
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preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-05-26Full publication date if available
- Authors
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Nick McGreivy, Caoxiang Zhu, Lee M. Gunderson, S. R. HudsonList of authors in order
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https://arxiv.org/abs/2105.12522Publisher landing page
- Open access
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/abs/2105.12522Direct OA link when available
- Concepts
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Biot number, Computation, Electromagnetic coil, Discretization, Curvature, Line (geometry), Mathematical analysis, Physics, Mathematics, Computer science, Algorithm, Geometry, Mechanics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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6Other works algorithmically related by OpenAlex
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