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Title: The virtual-casing principle and Helmholtz's theorem

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:
 [1]
  1. Auburn Univ., AL (United States). Physics Dept.
Publication Date:
Grant/Contract Number:
FG02-03ER54692
Type:
Published Article
Journal Name:
Plasma Physics and Controlled Fusion
Additional Journal Information:
Journal Volume: 57; Journal Issue: 11; Journal ID: ISSN 0741-3335
Publisher:
IOP Science
Research Org:
Auburn Univ., AL (United States)
Sponsoring Org:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; virtual casing; Helmholtz's theorem; vector fields
OSTI Identifier:
1238928
Alternate Identifier(s):
OSTI ID: 1238929; OSTI ID: 1439324