Skip to main content
Log in

VFISV: Very Fast Inversion of the Stokes Vector for the Helioseismic and Magnetic Imager

  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

In this paper we describe in detail the implementation and main properties of a new inversion code for the polarized radiative transfer equation (VFISV: Very Fast Inversion of the Stokes Vector). VFISV will routinely analyze pipeline data from the Helioseismic and Magnetic Imager (HMI) on-board of the Solar Dynamics Observatory (SDO). It will provide full-disk maps (4096×4096 pixels) of the magnetic field vector on the Solar Photosphere every ten minutes. For this reason VFISV is optimized to achieve an inversion speed that will allow it to invert sixteen million pixels every ten minutes with a modest number (approx. 50) of CPUs. Here we focus on describing a number of important details, simplifications and tweaks that have allowed us to significantly speed up the inversion process. We also give details on tests performed with data from the spectropolarimeter on-board of the Hinode spacecraft.

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

  • Auer, L.H., House, L.L., Heasley, J.N.: 1977, Solar Phys. 55, 47.

    Article  ADS  Google Scholar 

  • Baur, T.G., Elmore, D.E., Lee, R.H., Qerfeld, C.W., Rogers, S.R.: 1981, Solar Phys. 70, 395.

    Article  ADS  Google Scholar 

  • Bellot Rubio, L.R.: 2006, In: Casini, R., Lites, B.W. (eds.) Solar Polarization 4, ASP Conf. Ser. 358, 107.

  • Bishop, C.M.: 1994, Neural Networks for Pattern Recognition, Oxford University Press, London.

    Google Scholar 

  • Borrero, J.M.: 2004, The fine structure of the sunspot penumbra. Ph.D. Thesis, Göttingen University.

  • Borrero, J.M., Tomczyk, S., Norton, A., Darnell, T., Schou, J., Scherrer, P., Bush, R., Liu, Y.: 2007, Solar Phys. 240, 177.

    Article  ADS  Google Scholar 

  • Carroll, T.A., Staude, J.: 2001, Astron. Astrophys. 378, 316.

    Article  ADS  Google Scholar 

  • Del Toro Iniesta, J.C.: 2003a, Astron. Nachr. 324, 383.

    Article  ADS  Google Scholar 

  • Del Toro Iniesta, J.C.: 2003b, Introduction to Spectropolarimetry, Cambridge University Press, Cambridge.

    Book  Google Scholar 

  • Frutiger, C.: 2000, Ph.D. Thesis, Institute of Astronomy, ETH-Zurich.

  • Graham, J.D., Norton, A., López Ariste, A., Lites, B., Socas-Navarro, H., Tomczyk, S.: 2003, In: Trujillo-Bueno, J., Sánchez Almeida, J. (eds.) Solar Polarization, ASP Conference Series 307, 131.

  • Hui, A.K., Armstrong, B.H., Wray, A.A.: 1977, J. Quant. Spectrosc. Radiat. Transf. 18, 509.

    Article  Google Scholar 

  • Ichimoto, K., Lites, B.W., Elmore, D., Suematsu, Y., Tsuneta, S., Katsukawa, Y., et al.: 2008, Solar Phys. 249, 233.

    Article  ADS  Google Scholar 

  • Jefferies, J.T., Mickey, D.L.: 1991, Astrophys. J. 372, 694.

    Article  ADS  Google Scholar 

  • Kosugi, T., Matsuzaki, K., Sakao, T., Shimuzu, T., Sone, Y., Tachikawa, S., et al.: 2007, Solar Phys. 243, 3.

    Article  ADS  Google Scholar 

  • Landolfi, M., Landi Degl’Innocenti, E.: 1982, Solar Phys. 78, 355.

    Article  ADS  Google Scholar 

  • Letchworth, K.L., Benner, D.C.: 2007, J. Quant. Spectrosc. Radiat. Transf. 107, 173.

    Article  ADS  Google Scholar 

  • Lites, B.W., Elmore, D.F., Streander, K.V.: 2001, In: Sigwarth, M. (ed.) Advanced Solar Polarimetry, ASP Conference Series 236, 33.

  • Lites, B., Casini, R., Garcia, J., Socas-Navarro, H.: 2007, Mem. Soc. Astron. Ital. 78, 148.

    ADS  Google Scholar 

  • Nave, G., Johansson, S., Learner, R.C.M., Thorne, P.: 1994, Astrophys. J. Suppl. 94, 221.

    Article  ADS  Google Scholar 

  • Neckel, H., Labs, D.: 1994, Solar Phys. 153, 91.

    Article  ADS  Google Scholar 

  • Norton, A.A., Pietarila, Graham J., Ulrich, R.K., Schou, J., Tomczyk, S., Liu, Y., et al.: 2006, Solar Phys. 239, 69.

    Article  ADS  Google Scholar 

  • Orozco Suárez, D., Del Toro Iniesta, J.C.: 2007, Astron. Astrophys. 462, 1137.

    Article  ADS  MATH  Google Scholar 

  • Press, W., Flannery, B., Teukolsky, S., Vetterling, W.: 1986, Numerical Recipes – The Art of Scientific Computing, Cambridge University Press, Cambridge, 387.

    MATH  Google Scholar 

  • Rees, D.E., López Ariste, A., Thatcher, J., Semel, M.: 2000, Astron. Astrophys. 355, 759.

    ADS  Google Scholar 

  • Ruiz Cobo, B.: 2006, In: Kneer, F., Puschmann, K.G., Wittmann, A.D. (eds.) Modern Solar Facilities – Advanced Solar Science, Universitätsverlag, Göttingen, 287.

    Google Scholar 

  • Ruiz Cobo, B., Del Toro Iniesta, J.C.: 1992, Astrophys. J. 398, 375.

    Article  ADS  Google Scholar 

  • Sánchez Almeida, J.: 1997, Astron. Astrophys. 491, 993.

    Google Scholar 

  • Shimizu, T., Nagata, S., Tsuneta, S., Tarbell, T., Edwards, C., Shine, R., et al.: 2008, Solar Phys. 249, 221.

    Article  ADS  Google Scholar 

  • Skumanich, A., Lites, B.W.: 1987, Astrophys. J. 322, 473.

    Article  ADS  Google Scholar 

  • Socas-Navarro, H.: 2003, Neural Netw. 16, 355.

    Article  ADS  Google Scholar 

  • Socas-Navarro, H.: 2005, Astrophys. J. 621, 545.

    Article  ADS  Google Scholar 

  • Socas-Navarro, H., López Ariste, A., Lites, B.W.: 2001, Astrophys. J. 553, 949.

    Article  ADS  Google Scholar 

  • Suematsu, T., Tsuneta, S., Ichimoto, K., Shimizu, T., Otsubo, M., Katsukawa, Y., et al.: 2008, Solar Phys. 249, 197.

    Article  ADS  Google Scholar 

  • Tsuneta, S., Ichimoto, K., Katsukawa, Y., Nagata, S., Otsubo, M., Shimizu, T., et al.: 2008, Solar Phys. 249, 167.

    Article  ADS  Google Scholar 

  • Unsold, A.: 1955, Physik der Sternatmospharen, Springer, Berlin.

    Book  Google Scholar 

  • Westendorp Plaza, C., del Toro Iniesta, J.C., Ruiz Cobo, B., Martínez Pillet, V., Lites, B.W., Skumanich, A.: 1998, Astrophys. J. 494, 453.

    Article  ADS  Google Scholar 

  • Wittmann, A.: 1974, Solar Phys. 35, 11.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. M. Borrero.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borrero, J.M., Tomczyk, S., Kubo, M. et al. VFISV: Very Fast Inversion of the Stokes Vector for the Helioseismic and Magnetic Imager. Sol Phys 273, 267–293 (2011). https://doi.org/10.1007/s11207-010-9515-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11207-010-9515-6

Keywords

Navigation