Abstract
We investigate the diagnostic potential of polarimetric measurements with filtergraph instruments. Numerical simulations are used to explore the possibility of inferring the magnetic field vector, its filling factor, and the thermodynamics of model atmospheres when only a few wavelength measurements are available. These simulations assume the magnetic Sun to be represented by Milne–Eddington atmospheres. The results indicate that two wavelength measurements are insufficient to reliably determine the magnetic parameters, regardless of whether magnetograph techniques or least-squares fitting inversions are used. However, as few as four measurements analyzed with the inversion technique provide enough information to retrieve the intrinsic magnetic field with an accuracy better than 10% in most cases.
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Bellot Rubio, L. R., Ruiz Cobo, B., and Collados, M.: 1997, Astrophys. J. 478, L45.
Chiu, Y. T. and Hilton, H. H.: 1977, Astrophys. J. 212, 873.
Dikpati, M. and Charbonneau, P.: 1999, Astrophys. J. 518, 508.
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., Hull, H. K. and Lacey, L. B.: 1992, Proc. SPIE 1746, 22.
Falconer, D. A., Gary, G. A., Moore, R. L., and Porter, J. G.: 2000, Astrophys. J. 528, 1004.
Hagyard, M. J. and Kineke, J. I.: 1995, Solar Phys. 158, 11.
Jefferies, J., Lites, B., and Skumanich, A.: 1989, Astrophys. J. 343, 920.
Keller, C. U., Deubner, F.-L., Egger, U., Fleck, B., and Povel, H. P.: 1994, Astron. Astrophys. 286, 626.
Kosovichev, A. G., Duvall, T. L., Jr., and Scherrer, P. H.: 2000, Solar Phys. 192, 159.
Kurucz, R. L., Furenlid, I., and Brault, J.: 1984, Solar Flux Atlas from 296 to 1300 nm, National Solar Observatory Atlas, National Solar Observatory, Sunspot, New Mexico.
LaBonte, B. J., Mickey, D. L., and Leka, K. D.: 1999, Solar Phys. 189, 1.
Landi Degl'Innocenti, E.: 1992, in F. Sánchez, M. Collados, and M. Vásquez (eds.), Solar Observations: Techniques and Interpretation, Cambridge University Press, Cambridge.
Lites, B. W. and Skumanich, A.: 1985, NASA Marshall Space Flight Center, Measurements of Solar Vector Magnetic Fields, NASA Conf. Proc. 2374, p. 342.
Lites, B. W., Martínez Pillet, V., and Skumanich, A.: 1994, Solar Phys. 155, 1.
Lites, B. W., Low, B. C., Martínez Pillet, V., Seagraves, P., Skumanich, A., Frank, Z. A., Shine, R. A., and Tsuneta, S.: 1995, Astrophys. J. 466, 877.
Lites, B. W., Leka, K. D., Skumanich, A., Martínez Pillet, V., and Shimizu, T.: 1996, Astrophys. J. 460, 1019.
Ló pez Ariste, A., and Semel, M.: 1999, Astron. Astrophys. Suppl. 139, 417.
McClymont, A. N., Jiao, L., and Mikic, Z.: 1997, Solar Phys. 174, 191.
Mickey, D. L., Canfield, R. C., LaBonte, B. J., Leka, K. D., Waterson, M. F., and Weber, H. M.: 1996, Solar Phys. 168, 229.
Moore, R. L., Falconer, D. A., Porter, J. G., and Suess, S. T.: 1999, Astrophys. J. 526, 505.
Press, W., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P.: 1992, Numerical Recipes: The Art of Scientific Computing, 2nd ed., Cambridge University Press, Cambridge.
Rabin, D.: 1992, Astrophys. J. 390, L103.
Rees, D.: 1987, in W. Kalkofen (ed.), Numerical Radiative Transfer, Cambridge University Press, Cambridge, p. 213.
Ronan, R. S., Mickey, D. L., and Orrall, F. Q.: 1987, Solar Phys. 113, 353.
Ruiz Cobo, B. and del Toro Iniesta, J. C.: 1992, Astrophys. J. 398, 375.
Sakurai, T.: 1989, Space Sci. Rev. 51, 11.
Sakurai, T., Ichimoto, K., Nishino, Y., Shinoda, K., Noguchi, M., Hiei, E., Li, T., He, F., Mao, W., Lu, H., Ai, G., Zhao, Z., Kawakami, S., and Chae, J.: 1995, Publ. Astron. Soc. Japan 47, 81.
Sánchez Almeida, J.: 1997, Astrophys. J. 491, 993.
Schmieder, B., Hagyard, M. J., Guoxiang, A., Hongqi, Z., Kalman, B., Gyori, L., Rompolt, B., Démoulin, P., and Machado, M. E.: 1994, Solar Phys. 150, 199.
Skumanich, A. and Lites, B. W.: 1987, Astrophys. J. 322, 473.
Socas-Navarro, H.: 2001, in M. Sigwarth (ed.), Advanced Solar Polarimetry-Theory, Observation, and Instrumentation, ASP Conf. Ser. 236, 487.
Socas-Navarro, H., Trujillo Bueno, J., and Ruiz Cobo, B.: 2000, Astrophys. J. 530, 977.
Tomczyk, S., Streander, K., Card, G., Elmore, D., Hull, H., and Cacciani, A.: 1995, Solar Phys. 159, 1.
Wang, H.: 1997, Solar Phys. 174, 163.
Westendorp Plaza, C., del Toro Iniesta, J. C., Ruiz Cobo, B., Martínez Pillet, V., Lites, B. W., and Skumanich, A.: 1998, Astrophys. J. 494, 453.
Westendorp Plaza, C., del Toro Iniesta, J. C., Ruiz Cobo, B., Martínez Pillet, V., Lites, B. W., and Skumanich, A.: 2001a, Astrophys. J. 547, 1130.
Westendorp Plaza, C., del Toro Iniesta, J. C., Ruiz Cobo, B., Martínez Pillet, V., Lites, B. W., and Skumanich, A.: 2001b, Astrophys. J. 547, 1148.
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Graham, J.D., López Ariste, A., Socas-Navarro, H. et al. Inference of Solar Magnetic Field Parameters from Data with Limited Wavelength Sampling. Solar Physics 208, 211–232 (2002). https://doi.org/10.1023/A:1020577605073
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DOI: https://doi.org/10.1023/A:1020577605073