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Astrophysics and Space Science

, Volume 306, Issue 1–2, pp 23–27 | Cite as

The Relationships of Sunspot Magnetic Field Strength with Sunspot Area, Umbral Area and Penumbra-Umbra Radius Ratio

  • C. L. JinEmail author
  • Z. Q. Qu
  • C. L. Xu
  • X. Y. Zhang
  • M. G. Sun
Original Article

Abstract

Stokes profile inversion is very important to get the information on the vector magnetic field. Because the magnetic fields cannot be directly observed, adopting Stokes spectrum analysis to obtain vector magnetic field has become the major technique recently. Therefore, by Stokes profile inversion, we obtained vector magnetic fields of two layers based on the numerical solution (DELO solution, ReEs et al., 1989) to the polarized radiative transfer equation. We analyze the relationships of sunspot magnetic field strength with sunspot area, umbral area and penumbra-umbra radius ratio. By statistical research, it is found that the field strengths of the upper layer and the lower one decrease with the increasing penumbra-umbra radius ratio, and that the logarithmic expression is able to fit well the relationship between the maximum field strength of the upper layer and the sunspot area. Furthermore, we verify the result obtained by Ringnes and Jensen (1961) about the relationship between the maximum magnetic field strength and the umbral area, and the result obtained by Antalová (1991) of the relationship between the field strength and the penumbra-umbra radius ratio.

Keywords

Sunspots-magnetic Field-umbral Area-radius Ratio 

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References

  1. Antlová, A.: Baicz 42, 316 (1991)ADSGoogle Scholar
  2. Brants, J.J., Zwaan, C.: Soph 80, 251 (1982)ADSGoogle Scholar
  3. Hagyard, M.J.: Soph 107, (1987)Google Scholar
  4. Nicholson, S.B.: PASP 45, 51 (1933)CrossRefADSGoogle Scholar
  5. Ringnes, T.S., Jensen, E.: An 7, 99 (1961)Google Scholar
  6. Rees, D.E., Murphy, G.A., et al.: ApJ 339, 1093 (1989)CrossRefADSGoogle Scholar
  7. Skumanich, Lites: ApJ 322, 473 (1987)CrossRefADSGoogle Scholar
  8. Osherovich, V. A., Garcia, H. A.: ApJ 336, 468O (1989)CrossRefADSGoogle Scholar
  9. Qu, Z.Q., Zhang, X.Y., et al.: Soph 201, 241 (2001) ADSGoogle Scholar

Copyright information

© Springer Science + Business Media B.V. 2006

Authors and Affiliations

  • C. L. Jin
    • 1
    • 2
    Email author
  • Z. Q. Qu
    • 3
  • C. L. Xu
    • 1
    • 2
  • X. Y. Zhang
    • 3
  • M. G. Sun
    • 1
    • 2
  1. 1.National Astronomical Observatories/Yunnan Astronomical ObservatoryChinese Academy of SciencesKunmingP.R. China
  2. 2.Graduate School of Chinese Academy of SciencesBeijingP.R. China
  3. 3.National Astronomical Observatories/Yunnan Astronomical ObservatoryChinese Academy of SciencesKunmingP.R. China

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