The virtual-casing principle and Helmholtz’s theorem
Abstract
The virtual-casing principle is used in plasma physics to convert a Biot–Savart integration over a current distribution into a surface integral over a surface that encloses the current. In many circumstances, use of virtual casing can significantly speed up the computation of magnetic fields. In this paper, a virtual-casing principle is derived for a general vector field with arbitrary divergence and curl. This form of the virtual-casing principle is thus applicable to both magnetostatic fields and electrostatic fields. The result is then related to Helmholtz's theorem.
- Authors:
- Publication Date:
- Research Org.:
- Auburn Univ., AL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1238928
- Alternate Identifier(s):
- OSTI ID: 1238929; OSTI ID: 1439324
- Grant/Contract Number:
- FG02-03ER54692
- Resource Type:
- Published Article
- Journal Name:
- Plasma Physics and Controlled Fusion
- Additional Journal Information:
- Journal Name: Plasma Physics and Controlled Fusion Journal Volume: 57 Journal Issue: 11; Journal ID: ISSN 0741-3335
- Publisher:
- IOP Publishing
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; virtual casing; Helmholtz's theorem; vector fields
Citation Formats
Hanson, J. D. The virtual-casing principle and Helmholtz’s theorem. United Kingdom: N. p., 2015.
Web. doi:10.1088/0741-3335/57/11/115006.
Hanson, J. D. The virtual-casing principle and Helmholtz’s theorem. United Kingdom. https://doi.org/10.1088/0741-3335/57/11/115006
Hanson, J. D. Thu .
"The virtual-casing principle and Helmholtz’s theorem". United Kingdom. https://doi.org/10.1088/0741-3335/57/11/115006.
@article{osti_1238928,
title = {The virtual-casing principle and Helmholtz’s theorem},
author = {Hanson, J. D.},
abstractNote = {The virtual-casing principle is used in plasma physics to convert a Biot–Savart integration over a current distribution into a surface integral over a surface that encloses the current. In many circumstances, use of virtual casing can significantly speed up the computation of magnetic fields. In this paper, a virtual-casing principle is derived for a general vector field with arbitrary divergence and curl. This form of the virtual-casing principle is thus applicable to both magnetostatic fields and electrostatic fields. The result is then related to Helmholtz's theorem.},
doi = {10.1088/0741-3335/57/11/115006},
journal = {Plasma Physics and Controlled Fusion},
number = 11,
volume = 57,
place = {United Kingdom},
year = {Thu Sep 10 00:00:00 EDT 2015},
month = {Thu Sep 10 00:00:00 EDT 2015}
}
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https://doi.org/10.1088/0741-3335/57/11/115006
https://doi.org/10.1088/0741-3335/57/11/115006
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