Abstract
I present a robust algorithm that resolves the 180-deg ambiguity in measurements of the solar vector magnetic field. The technique simultaneously minimizes both the divergence of the magnetic field and the electric current density using a simulated annealing algorithm. This results in the field orientation with approximately minimum free energy. The technique is well-founded physically and is simple to implement.
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Alissandrakis, C. E.: 1981,Astron. Astrophys. 100, 197.
Aly, J. J.: 1988,Astron. Astrophys. 203, 183.
Aly, J. J.: 1989,Solar Phys. 120, 19.
Canfield, R. C., de La Beaujardière, J.-F., and Leka, K. D.: 1991,Phil. Trans. Roy. Soc. London A 336, 381.
Canfield, R. C.et al.: 1993,Astrophys. J. 411, 362.
Cuperman, S., Li, J., and Semel, M.: 1993,Astron. Astrophys. 268, 749.
Gary, G. A.: 1989,Astrophys. J. Suppl. 69, 323.
Gary, G. A. and Hagyard, M. J.: 1990,Solar Phys. 126, 21.
Kirkpatrick, S., Gelatt, C. D., and Vecchi, M. P.: 1983,Science 220, 671.
Landi Degl'Innocenti, E. and Bommier, V.: 1993,Astrophys. J. 411, L49.
Leka, K. D., Canfield, R. C., McClymont, A. N., de la Beaujardière, J.-F., and Fan, Y.: 1993,Astrophys. J. 411, 370.
McClymont, A. N. and Mikic, Z.: 1994,Astrophys. J. 422, 899.
Metropolis, N., Rosenbluth, A., Rosenbluth, M., Teller, A., and Teller, E.: 1953,J. Chem. Phys. 21, 1087.
Mickey, D. L.: 1985,Solar Phys. 97, 223.
Mikic, Z. and McClymont, A. N.: 1994, in K. S. Balasubramaniam and G. Simon (eds.),Solar Active Region Evolution - Comparing Models with Observations, ASP Conf. Series, in press.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P.: 1992,Numerical Recipes in C, 2nd edition, Cambridge University Press, New York, p. 444.
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Metcalf, T.R. Resolving the 180-degree ambiguity in vector magnetic field measurements: The ‘minimum’ energy solution. Sol Phys 155, 235–242 (1994). https://doi.org/10.1007/BF00680593
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DOI: https://doi.org/10.1007/BF00680593