Computation of solar magnetic fields from photospheric observations
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Abstract
The observational difficulties of obtaining the magnetic field distribution in the chromosphere and corona of the Sun has led to methods of extending photospheric magnetic measurements into the solar atmosphere by mathematical procedures. A new approach to this problem presented here is that a constant alpha force-free field can be uniquely determined from the tangential components of the measured photospheric flux alone. The vector magnetographs now provide measurements of both the solar photospheric tangential and the longitudinal magnetic field. This paper presents derivations for the computation of the solar magnetic field from these type of measurements. The fields considered are assumed to be a constant alpha force-free fields or equivalent, producing vanishing Lorentz forces. Consequently, magnetic field lines and currents are related by a constant and hence show an identical distribution. The magnetic field above simple solar regions are described from the solution of the field equations.
Keywords
Atmosphere Magnetic Field Field Equation Field Line Field DistributionPreview
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References
- Alissandrakis, C. E.: 1981, Astron. Astrophys. 100, 197.Google Scholar
- Buchholz, H.: 1969, The Confluent Hypergeometric Function, Springer-Verlag, New York, p. 71.Google Scholar
- Chandrasekhar, S.: 1961, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford, p. 622.Google Scholar
- Chiu, Y. T. and Hilton, H. H.: 1977, Astrophys. J. 212, 873.Google Scholar
- Hagyard, M. J., Cumings, N. P., West, E. A., and Smith, J. E.: 1982, Solar Phys. 80, 33.Google Scholar
- Jackson, J. P.: 1963, Classical Electrodynamics, John Wiley and Sons, Inc., New York, pp. 18 and 285.Google Scholar
- Morse, P. M. and Feshbach, H.: 1953, Methods of Theoretical Physics, McGraw-Hill Book Co., Inc., New York, p. 1456.Google Scholar
- Nakagawa, Y. and Raadu, M. A.: 1972, Solar Phys. 25, 127.Google Scholar
- Nakagawa, Y., Raadu, M. A., Billings, D. E., and McNamara, D.: 1971, Solar Phys. 19, 72.Google Scholar
- Parker, E. N.: 1979, Cosmical Magnetic Fields, Clarendon Press, Oxford, p. 76.Google Scholar
- Priest, E. R.: 1982, Solar Magnetohydrodynamics, D. Reidel Publ. Co., Dordrecht, Holland, p. 137.Google Scholar
- Schmidt, H. U.: 1964, in AAS-NASA Symposium on the Physics of Solar Flares, NASA SP-50, Washington, D.C., p. 167.Google Scholar
- Semel, M.: 1967, Ann. Astrophys. 30, 513.Google Scholar
- Stratton, J. A.: 1941, Electromagnetic Theory, McGraw-Hill Book Co., Inc., New York, Sections 4.14–4.16.Google Scholar