Skip to main content
Log in

Chromospheric and coronal Alfvénic oscillations in non-vertical magnetic fields

  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

We generalize previous studies of Alfvénic oscillations in the solar atmosphere to geometries in which the background magnetic field is not parallel to the gravitational acceleration. A uniform but inclined field produces only subtle changes in the mathematics, and virtually no changes to the coronal energy flux, over previous vertical field studies. We show that simple, two-layer models agree remarkably well with more sophisticated, multi-layer calculations. In addition, we derive several useful and accurate analytic results with which we highlight many features and parameter dependences. We also study a model with a spreading field geometry. For low magnetic fields (∼- 10 G) the corona still appears WKB to the oscillations and we do not find any significant deviations from the uniform field calculations. This is not the case for higher magnetic fields in active regions (∼- 3000 G) where we confirm previous results which suggest an order of magnitude increase in the coronal flux. Again, we derive useful analytic approximations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Athay, R. G. and White, O. R.: 1978, Astrophys. J. 226, 1135.

    Google Scholar 

  • Cally, P. S.: 1983, Solar Phys. 88, 77.

    Google Scholar 

  • Ferraro, V. C. A. and Plumpton, C.: 1958, Astrophys. J. 129, 459.

    Google Scholar 

  • Heyvaerts, J. and Priest, E. R.: 1983, Astron. Astrophys. 117, 220.

    Google Scholar 

  • Hollweg, J. V.: 1972, Astrophys. J. 177, 255.

    Google Scholar 

  • Hollweg, J. V.: 1978, Solar Phys. 56, 305.

    Google Scholar 

  • Hollweg, J. V.: 1982a, Astrophys. J. 257, 345.

    Google Scholar 

  • Hollweg, J. V.: 1982b, Astrophys. J. 254, 806.

    Google Scholar 

  • Hollweg, J. V.: 1983a, in M. Neugebauer (ed.), Proc. Solar Wind 5, 1–5 November 1982, Woodstock, Vermont, NASA Conference Publication 2280, p. 5.

  • Hollweg, J. V.: 1983b, ‘Resonances of Coronal Loops’, preprint.

  • Ionson, J. A.: 1982, Astrophys. J. 254, 318.

    Google Scholar 

  • Kuperus, M., Ionson, J. A., and Spicer, D. S.: 1981, Ann. Rev. Astron. Astrophys. 19, 7.

    Google Scholar 

  • Leroy, B.: 1980, Astron. Astrophys. 91, 136.

    Google Scholar 

  • Leroy, B.: 1981, Astron. Astrophys. 97, 245.

    Google Scholar 

  • Leroy, B. and Bel, N.: 1979, Astron. Astrophys. 78, 129.

    Google Scholar 

  • Leroy, B. and Schwartz, S. J.: 1982, Astron. Astrophys. 112, 84.

    Google Scholar 

  • Nye, A. H. and Hollweg, J. V.: 1980, Solar Phys. 68, 279.

    Google Scholar 

  • Parker, E. N.: 1983, in M. Neugebauer (ed.), Proc. Solar Winds, 1–5 November 1982, Woodstock, Vermont, NASA Conference Publication 2280, p. 23.

  • Schwartz, S. J. and Bel, N.: 1984, Astron. Astrophys., in press.

  • Schwartz, S. J. and Leroy, B.: 1982, Astron. Astrophys. 112, 93.

    Google Scholar 

  • Stein, R. F.: 1981, Astrophys. J. 246, 966.

    Google Scholar 

  • Ulmschneider, P.: 1981, in Bonnet and Dupree (eds.), Solar Phenomena in Stars and Stellar Systems, NATO Advanced Study Institute, 1980, Bonas, France, D. Reidel Publ. Co., Dordrecht, Holland, p. 239.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Now at: Mathematics Department, Monash University, Clayton, Victoria, Australia.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schwartz, S.J., Cally, P.S. & Bel, N. Chromospheric and coronal Alfvénic oscillations in non-vertical magnetic fields. Sol Phys 92, 81–98 (1984). https://doi.org/10.1007/BF00157237

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00157237

Keywords

Navigation