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A Sufficient Condition for Krall’s Criterion and its Modifications

Published online by Cambridge University Press:  12 April 2016

Wu Linxiang
Wu Linxiang*
Affiliation:
Department of Geophysics, Peking UniversityUnited Laboratory for Optical Astronomy, Chinese Academy of Sciences

Abstract

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In order to determine the sense of the photospheric transverse magnetic field measured with a magnetograph, it is shown that: (1) If the magnetic lines of force through the photospheric plane are both divergent and convex upward, Krall’s criterion

is true for the transverse field B⊥ much more strongly than for the longitudinal field Bz and the inequality in general becomes

(2) If the magnetic lines of force are only divergent upward, we have instead the inequality

for a force-free field.

Type
Session 7. Magnetic Shear and Electric Currents
Information
International Astronomical Union Colloquium , Volume 141: The Magnetic and Velocity Fields of Solar Active Regions , 1993 , pp. 439 - 442
Copyright
Copyright © Astronomical Society of the Pacific 1993

References

Krall, K.R., Smith, J.B., Hagyard, M.J., West, E.A., & Cummings, N.P. 1982, Solar Phys., 79, 59 CrossRefGoogle Scholar
Wu, L. & Ai, G. 1990, Acta Astrophys. Sinica, 10, No. 4, 371 Google Scholar