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New generation Stokes inversion codes

Published online by Cambridge University Press:  24 July 2015

A. Asensio Ramos  and
J. de la Cruz Rodríguez
A. Asensio Ramos
Affiliation:
Instituto de Astrofísica de Canarias, 38205, La Laguna, Tenerife, Spain Departamento de Astrofísica, Universidad de La Laguna, E-38205 La Laguna, Tenerife, Spain
J. de la Cruz Rodríguez
Affiliation:
Institute for Solar Physics, Dept. of Astronomy, Stockholm University, Albanova University Center, 10691 Stockholm, Sweden
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Abstract

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We utilize the concept of sparsity or compressibility to develop an new generation of inversion codes for the Stokes parameters. The inversion code uses numerical optimization techniques based on the idea of proximal algorithms to impose sparsity. In so doing, we allow to exploit the presence of spatial correlation on the maps of physical parameters. Sparsity also regularizes the solution by reducing the number of unknowns. The solution has an increased robustness.

Keywords

Sun: magnetic fieldsatmosphereline: profilesmethods: data analysis
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 10 , Symposium S305: Polarimetry: From the Sun to Stars and Stellar Environments , December 2014 , pp. 225 - 233
Copyright
Copyright © International Astronomical Union 2015 

References

Asensio Ramos, A., Martínez González, M. J. & Rubiño Martín, J. A. 2007, A&A 476, 959 Google Scholar
Auer, L. H., House, L. L., & Heasley, J. N. 1977, Sol. Phys. 55, 47 Google Scholar
Beck, A. & Teboulle, M. 2009, SIAM Journal on Img. Sci. 2, 183 Google Scholar
Becker, S. & Fadili, M. J. 2012, eprint arXiv:1206.1156Google Scholar
Borrero, J. M., Tomczyk, S., Kubo, M., et al. 2010, Sol. Phys. 35Google Scholar
Candès, E., Romberg, J., & Tao, T. 2006, Comm. Pure Appl. Math. 59, 1207 Google Scholar
Candés, E. J. & Recht, B. 2009, Found. Comput. Math. 9, 717 Google Scholar
de la Cruz Rodríguez, J., Socas-Navarro, H., Carlsson, M., & Leenaarts, J. 2012, A&A 543, A34 Google Scholar
Donoho, D. 2006, IEEE Trans. on Information Theory 52, 1289 Google Scholar
Frutiger, C., Solanki, S. K., Fligge, M., & Bruls, J. H. M. J. 2000, A&A 358, 1109 Google Scholar
Harvey, J., Livingston, W., & Slaughter, C. 1972, in: Manuscripts presented at a conference held in Boulder, Colorado, 20 August – 2 September, 1971, Boulder, CO: National Center for Atmospheric Research, 227 Google Scholar
Jensen, A. & la Cour-Harbo, A. 2001, Ripples in Mathematics: The Discrete Wavelet Transform (Springer Verlag)Google Scholar
Landi Degl'Innocenti, E. & Landi Degl'Innocenti, M. 1977, A&A 56, 111 Google Scholar
Landi Degl'Innocenti, E. & Landolfi, M. 2004, Polarization in Spectral Lines (Kluwer Academic Publishers)Google Scholar
Lites, B., Casini, R., Garcia, J., & Socas-Navarro, H. 2007, Mem. Soc. Astron. Ital. 78, 148 Google Scholar
Marjugi, S. M. & Leong, W. J. 2013, J. Appl. Math. 2013, 523476 CrossRefGoogle Scholar
O'Donoghue, B. & Candès, E. 2013, Foundations of Computational Mathematics (3 July 2013, online)Google Scholar
Orozco Suárez, D., Bellot Rubio, L. R., del Toro Iniesta, J. C., et al. 2007, ApJL 670, L61 Google Scholar
Parikh, N. & Boyd, S. 2014, Foundations and Trends in Optimization, 1Google Scholar
Rees, D. E., López Ariste, A., Thatcher, J., & Semel, M. 2000, A&A 355, 759 Google Scholar
Ruiz Cobo, B. & Asensio Ramos, A. 2013, A&A 549, L4 Google Scholar
Ruiz Cobo, B. & del Toro Iniesta, J. C. 1992, ApJ 398, 375 Google Scholar
Skumanich, A. & Lites, B. W. 1987, ApJ 322, 473 Google Scholar
Socas-Navarro, H., de la Cruz Rodriguez, J., Asensio Ramos, A., Trujillo Bueno, J., & Ruiz Cobo, B. 2014, eprint arXiv:1408.6101Google Scholar
Socas-Navarro, H., Trujillo Bueno, J., & Ruiz Cobo, B. 2000, ApJ 530, 977 Google Scholar
van Noort, M. 2012, A&A, 548, A5 Google Scholar