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A regularization method for extrapolation of solar potential magnetic fieldsThe mathematical basis of a Tikhonov regularization method for extrapolating the chromospheric-coronal magnetic field using photospheric vector magnetograms is discussed. The basic techniques show that the Cauchy initial value problem can be formulated for potential magnetic fields. The potential field analysis considers a set of linear, elliptic partial differential equations. It is found that, by introducing an appropriate smoothing of the initial data of the Cauchy potential problem, an approximate Fourier integral solution is found, and an upper bound to the error in the solution is derived. This specific regularization technique, which is a function of magnetograph measurement sensitivities, provides a method to extrapolate the potential magnetic field above an active region into the chromosphere and low corona.
Document ID
19920061115
Document Type
Reprint (Version printed in journal)
Authors
Gary, G. A. (NASA Marshall Space Flight Center Huntsville, AL, United States)
Musielak, Z. E. (Alabama, University Huntsville, United States)
Date Acquired
August 15, 2013
Publication Date
June 20, 1992
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 392
Issue: 2 Ju
ISSN: 0004-637X
Subject Category
SOLAR PHYSICS
Funding Number(s)
CONTRACT_GRANT: NAG8-839
Distribution Limits
Public
Copyright
Other