Prominence sheets supported by constant-current force-free fields. II - Imposition of normal photospheric field component and prominence surface current

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Current Sheets, Force-Free Magnetic Fields, Photosphere, Solar Magnetic Field, Solar Prominences, Boundary Value Problems, Magnetic Field Configurations

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Attention is given to a method of constructing longitudinally invariant magnetic field configurations in which a symmetric finite vertical current sheet is in magnetohydrostatic equilibrium between the combined forces exerted by a background constant-current force-free field and a uniform gravitational field. Both the normal magnetic field component along the photosphere and the current density along the prominence sheet are imposed as functions of position. The method is used to generate both N- and I-type configurations by selecting a convenient form for the imposed functions. Consideration is given to the evolution of these configurations as the strength of the current (and hence the mass) is increased while all other parameters are held fixed. It is shown that in general the sheet loses equilibrium near its upper extremity as I is increased beyond a certain value.

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