Advertisement

Solar Physics

, Volume 237, Issue 2, pp 267–296 | Cite as

An Overview of Existing Algorithms for Resolving the 180° Ambiguity in Vector Magnetic Fields: Quantitative Tests with Synthetic Data

  • Thomas R. MetcalfEmail author
  • K. D. Leka
  • Graham Barnes
  • Bruce W. Lites
  • Manolis K. Georgoulis
  • A. A. Pevtsov
  • K. S. Balasubramaniam
  • G. Allen Gary
  • Ju Jing
  • Jing Li
  • Y. Liu
  • H. N. Wang
  • Valentyna Abramenko
  • Vasyl Yurchyshyn
  • Y.-J. Moon
Article

Abstract

We report here on the present state-of-the-art in algorithms used for resolving the 180° ambiguity in solar vector magnetic field measurements. With present observations and techniques, some assumption must be made about the solar magnetic field in order to resolve this ambiguity. Our focus is the application of numerous existing algorithms to test data for which the correct answer is known. In this context, we compare the algorithms quantitatively and seek to understand where each succeeds, where it fails, and why. We have considered five basic approaches: comparing the observed field to a reference field or direction, minimizing the vertical gradient of the magnetic pressure, minimizing the vertical current density, minimizing some approximation to the total current density, and minimizing some approximation to the field's divergence. Of the automated methods requiring no human intervention, those which minimize the square of the vertical current density in conjunction with an approximation for the vanishing divergence of the magnetic field show the most promise.

Keywords

Azimuth Solar Phys Ambiguity Resolution Disk Center Shear Angle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abramenko, V.I.: 1986, Solnechnye Dann. Bull. Akad. Nauk SSSR 8, 83.ADSGoogle Scholar
  2. Alissandrakis, C.E.: 1981, Astron. Astrophys. 100, 197.ADSGoogle Scholar
  3. Aly, J.J.: 1988, Astron. Astrophys. 203, 183.zbMATHMathSciNetADSGoogle Scholar
  4. Canfield, R.C., de La Beaujardiére, J.F., Fan, Y., Leka, K.D., McClymont, A.N., Metcalf, T., Mickey, D.L., Wülser, J.-P., and Lites, B.W.: 1993, Astrophys. J. 411, 362.CrossRefADSGoogle Scholar
  5. Chiu, Y.T. and Hilton, H.H.: 1977, Astrophys. J. 212, 873.CrossRefADSGoogle Scholar
  6. Cuperman, S., Li, J., and Semel, M.: 1992, Astron. Astrophys. 265, 296.ADSGoogle Scholar
  7. Cuperman, S., Li, J., and Semel, M.: 1993, Astron. Astrophys. 268, 749.ADSGoogle Scholar
  8. Cuperman, S., Ofman, L., and Semel, M.: 1990, Astron. Astrophys. 227, 583.ADSGoogle Scholar
  9. Elmore, D.F., Lites, B.W., Tomczyk, S., Skumanich, A.P., Dunn, R.B., Schuenke, J.A., Streander, K.V., Leach, T.W., Chambellan, C.W., and Hull, H.K.: 1992, in D.H. Goldstein and R.A. Chipman (eds.), Polarization Analysis and Measurement, Proc. SPIE 1746, 22.Google Scholar
  10. Fan, Y. and Gibson, S.E.: 2003, Astrophys. J. 589, L105.CrossRefADSGoogle Scholar
  11. Fan, Y. and Gibson, S.E.: 2004, Astrophys. J. 609, 1123.CrossRefADSGoogle Scholar
  12. Gary, G.A.: 1989, Astrophys. J. Suppl. 69, 323.CrossRefADSGoogle Scholar
  13. Gary, G.A. and Démoulin, P.: 1995, Astrophys. J. 445, 982.CrossRefADSGoogle Scholar
  14. Georgoulis, M.K.: 2005, Astrophys. J. 629, L69.CrossRefADSGoogle Scholar
  15. Georgoulis, M.K., LaBonte, B.J., and Metcalf, T.R.: 2004, Astrophys. J. 602, 446.CrossRefADSGoogle Scholar
  16. Gibson, S.E., Fan, Y., Mandrini, C., Fisher, G., and Démoulin, P.: 2004, Astrophys. J. 617, 600.CrossRefADSGoogle Scholar
  17. Harvey, J.W.: 1969, Ph.D.Thesis, University of Colorado.Google Scholar
  18. Ichimoto, K. and Solar-B Team: 2005, J. Korean Astron. Soc. 38, 307.ADSGoogle Scholar
  19. Jones, H.P., Harvey, J.W., Henney, C.J., Hill, F., and Keller, C.U.: 2002, in H. Sawaya-Lacoste (ed.), Magnetic Coupling of the Solar Atmosphere, ESA SP-505, p. 15.Google Scholar
  20. Keil, S.L., Rimmele, T., Keller, C.U., Hill, F., Radick, R.R., Oschmann, J.M., Warner, M., Dalrymple, N.E., Briggs, J., Hegwer, S.L., and Ren, D.: 2003, in S.L. Keil and S.V. Avakyanelescope (eds.), Innovative Telescopes and Instrumentation for Solar Astrophysics, Proc. SPIE 4853, 240.ADSGoogle Scholar
  21. Kirkpatrick, S., Gelatt, C.D., and Vecchi, M.P.: 1983, Science 220, 671.MathSciNetADSGoogle Scholar
  22. Leka, K.D.: 1999, Solar Phys. 188, 21.CrossRefADSGoogle Scholar
  23. Leka, K.D., Fan, Y., and Barnes, G.: 2005, Astrophys. J. 626, 1091.CrossRefADSGoogle Scholar
  24. Leka, K.D. and Metcalf, T.R.: 2003, Solar Phys. 212, 361.CrossRefADSGoogle Scholar
  25. Leka, K.D. and Skumanich, A.: 1999, Solar Phys. 188, 3.CrossRefADSGoogle Scholar
  26. Metcalf, T.R.: 1994, Solar Phys 155, 235.CrossRefADSGoogle Scholar
  27. Metcalf, T.R., Jiao, L., McClymont, A.N., Canfield, R.C., and Uitenbroek, H.: 1995, Astrophys. J. 439, 474.CrossRefADSGoogle Scholar
  28. Metropolis, N., Rosenbluth, A., Rosenbluth, M., Teller, A., and Teller, E.: 1953, J. Chem. Phys. 21, 1087.CrossRefGoogle Scholar
  29. Moon, Y.-J., Wang, H., Spirock, T.J., Goode, P.R., and Park, Y.D.: 2003, Solar Phys. 217, 79.CrossRefADSGoogle Scholar
  30. Pevtsov, A.A., Canfield, R.C., and Metcalf, T.R.: 1994, Astrophys. J. 425, L117.CrossRefADSGoogle Scholar
  31. Pevtsov, A.A., Canfield, R.C., and Metcalf, T.R.: 1995, Astrophys. J. 440, L109.CrossRefADSGoogle Scholar
  32. Ruiz Cobo, B.: 1998, Astrophys. Space Sci. 263, 331.CrossRefADSGoogle Scholar
  33. Sánchez Almeida, J.: 1997, Astrophys. J. 491, 993.CrossRefADSGoogle Scholar
  34. Sánchez Almeida, J. and Lites, B.W.: 2000, Astrophys. J. 532, 1215.CrossRefADSGoogle Scholar
  35. Scherrer, P.H., Bogart, R.S., Bush, R.I., Hoeksema, J.T., Kosovichev, A.G., Schou, J., Rosenberg, W., Springer, L., Tarbell, T.D., Title, A., Wolfson, C.J., Zayer, I., and MDI Engineering Team: 1995, Solar Phys 162, 129.CrossRefADSGoogle Scholar
  36. Scherrer, P.H. and HMI Team: 2005, AGU Spring Meeting Abstr. #SP43A-05.Google Scholar
  37. Semel, M. and Skumanich, A.: 1998, Astron. Astrophys. 331, 383.ADSGoogle Scholar
  38. Shimizu, T.: 2004, in T. Sakurai and T. Sekii (eds.), The Solar-B Mission and the Forefront of Solar Physics, Astron. Soc. Pacific Conf. Ser. 325, 3.Google Scholar
  39. Titov, V.S., Priest, E.R., and Démoulin, P.: 1993, Astron. Astrophys. 276, 564.ADSGoogle Scholar
  40. Wang, H.: 1997, Solar Phys. 174, 265.CrossRefGoogle Scholar
  41. Wang, H., Yan, Y., and Sakurai, T.: 2001, Solar Phys. 201, 323.CrossRefADSGoogle Scholar
  42. Westendorp Plaza, C., del Toro Iniesta, J.C., Ruiz Cobo, B., Pillet, V.M., Lites, B.W., and Skumanich, A.: 2001, Astrophys. J. 547, 1130.CrossRefADSGoogle Scholar
  43. Zhang, H.: 2001, Astrophys. J. 557, L71.CrossRefADSGoogle Scholar

Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • Thomas R. Metcalf
    • 1
    Email author
  • K. D. Leka
    • 1
  • Graham Barnes
    • 1
  • Bruce W. Lites
    • 2
  • Manolis K. Georgoulis
    • 3
  • A. A. Pevtsov
    • 4
  • K. S. Balasubramaniam
    • 4
  • G. Allen Gary
    • 5
  • Ju Jing
    • 6
  • Jing Li
    • 7
  • Y. Liu
    • 8
  • H. N. Wang
    • 9
  • Valentyna Abramenko
    • 10
  • Vasyl Yurchyshyn
    • 10
  • Y.-J. Moon
    • 11
  1. 1.Northwest Research AssociatesColorado Research Associates DivisionBoulderU.S.A.
  2. 2.High Altitude ObservatoryNational Center for Atmospheric ResearchBoulderU.S.A.
  3. 3.The Johns Hopkins University, Applied Physics LaboratoryLaurelU.S.A.
  4. 4.National Solar ObservatorySunspotU.S.A.
  5. 5.NASA/MSFC/NSSTC, Marshall Space Flight CenterHuntsvilleU.S.A.
  6. 6.New Jersey Institute of Technology, Center for Solar-Terrestrial ResearchNewarkU.S.A.
  7. 7.Institute for AstronomyUniversity of HawaiiHonoluluU.S.A.
  8. 8.Stanford UniversityStanfordU.S.A.
  9. 9.National Astronomical ObservatoriesChinese Academy of SciencesChaoyang DistrictChina
  10. 10.Big Bear Solar ObservatoryNew Jersey Institute of TechnologyBig Bear CityU.S.A.
  11. 11.Korea Astronomy and Space Science InstituteYuseong-guSouth Korea

Personalised recommendations