Linear force-free magnetic fields and coronal models

The mathematical properties of linear force-free fields generated by the Helmholtz equation are reviewed, and the solutions in terms of spherical, cartesian and cylindrical coordinate systems are discussed. When only the normal component of the field on a single (photospheric) surface is available a...

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Bibliographic Details
Published in:Australian journal of physics 1989, Vol.42 (3), p.317-329
Main Author: DURRANT, C. J
Format: Article
Language:English
Subjects:
Astronomy
Corona. Coronal loops, streamers, and holes
Earth, ocean, space
Exact sciences and technology
Solar physics
Solar system
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Summary:The mathematical properties of linear force-free fields generated by the Helmholtz equation are reviewed, and the solutions in terms of spherical, cartesian and cylindrical coordinate systems are discussed. When only the normal component of the field on a single (photospheric) surface is available as a boundary condition, the solutions are not niquely determined. If further conditions are imposed, solutions may be unique or multiple or may not exist. The
ISSN:0004-9506
1446-5582
DOI:10.1071/PH890317