Abstract
We investigate a potential field calculation for off disk-center vector magnetograms that uses all the three components of the measured field. There is neither any need for interpolation of grid points between the image plane and the heliographic plane nor for an extension or a truncation to a heliographic rectangle. Hence, the method provides the maximum information content from the photospheric field as well as the most consistent potential field independent of the viewing angle. The introduction of polarimetric noise produces a less tolerant extrapolation procedure than using the line-of-sight extrapolation, but the resultant standard deviation is still small enough for the practical utility of this method.
Similar content being viewed by others
References
Alissandrakis, C. E.: 1981, Astron. Astrophys. 100, 197.
Altschuler, M. D. and Newkirk, G., Jr.: 1969, Solar Phys. 9, 131.
Bracewell, R. M.: 1965, The Fourier Transformation and Its Application, McGraw-Hill, New York.
Bringham, E. O.: 1974, The Fast Fourier Transform, Prentice-Hall, New York.
Gary, G. A.: 1989, Astrophys. J. Suppl. Series 69 (in press).
Gary, G. A., Moore, R. L., Hagyard, M. J., and Haisch, B. M.: 1987, Astrophys. J. 314, 782.
Hagyard, M. J.: 1987a, in P. Simon and Z. Klos (eds.), Artificial Satellites, Polish Scientific Publishers, Poland; Space Physics, No. 6, Vol. 22(1), p. 69 (special issue on STP Workshop held in Meudon, France, June 18–22, 1984).
Hagyard, M. J.: 1987b, Solar Phys. 107, 239.
Hagyard, M. J.: 1988, Solar Phys. 105, 107.
Hagyard, M. J. and Rabin, D. M.: 1986, Adv. Space Res. 6, 7.
Hagyard, M. J., West, E. A., and Cumings, N. P.: 1977, Solar Phys. 53, 3.
Hagyard, M. J., Low, B. C., and Tandberg-Hanssen, E.: 1981, Solar Phys. 73, 257.
Hagyard, M. J., Gary, G. A., and West, E. A.: 1988, The SAMEX Vector Magnetograph - A Design Study for a Space-Based Solar Vector Magnetograph, NASA TM-4048, Marshall Space Flight Center, AL.
Hagyard, M. J., Smith, J. B., Jr., Teuber, D., and West, E. A.: 1984, Solar Phys. 91, 115.
Harvey, J. W.: 1966, Astro-Geophysics Memorandum, No. 172, HAO, Boulder, Colorado.
Harvey, J. W.: 1969, NCAR Cooperative Thesis No. 17, University of Colorado, Boulder, Colorado.
Low, B. C: 1982, Solar Phys. 77, 43.
Rust, D. M. and Roy, J.-R.: 1971, in R. Howard (ed.), ‘Solar Magnetic Fields’, IAU Symp. 43, 569.
Sakurai, T.: 1982, Solar Phys. 76, 310.
Schmidt, H.: 1964, in W. N. Hess (ed.), The Physics of Solar Flares, NASA SP-50, p. 107.
Seehafer, N.: 1982, Solar Phys. 81, 69.
Seehafer, N. and Staude, J.: 1983, Phys. Solariterr., Potsdam 2, 5.
Semel, M.: 1967, Ann. Astrophys. 30, 513.
Sommerfeld, A., 1949, Partial Differential Equations in Physics, Academic Press, New York, p. 1.
Teuber, D., Tandberg-Hanssen, E., and Hagyard, M. J.: 1977, Solar Phys. 53, 97.
Venkatakrishnan, P., Hagyard, M. J., and Hathaway, D. H.: 1988, Solar Phys. 115, 88.
Wilkinson, L. K., Emslie, A. G., and Gary, G. A.: 1989, Solar Phys. 119, 77.
Author information
Authors and Affiliations
Additional information
National Research Council Resident Research Associate on leave from Indian Institute of Astrophysics, Bangalore 560034, India.
Rights and permissions
About this article
Cite this article
Venkatakrishnan, P., Gary, G.A. Off disk-center potential field calculations using vector magnetograms. Sol Phys 120, 235–247 (1989). https://doi.org/10.1007/BF00159877
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00159877