Physics
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978soph...58..215s&link_type=abstract
Solar Physics, vol. 58, July 1978, p. 215-223.
Physics
119
Boundary Value Problems, Data Reduction, Force-Free Magnetic Fields, Magnetometers, Solar Magnetic Field, Green'S Functions, Hankel Functions, Lorentz Force, Photosphere, Solar Physics
Scientific paper
It is shown that a magnetic field that is force-free with alpha constant (alpha is not equal to 0) in the whole volume outside the sun cannot have a finite energy content and that such a field cannot be determined uniquely from only one magnetic field component given at the photosphere. Therefore, the extension of a global scale constant-alpha force-free magnetic field to infinity neither has a physical meaning nor provides a mathematically unique boundary value problem. The use of global scale constant-alpha force-free magnetic fields must be confined to the consideration of finite volumes. In this paper the boundary value problem for a semiinfinite column of arbitrary cross section is solved by a Green's function method.
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