Multichannel ThreeDimensional SOLA Inversion for Local Helioseismology
Abstract
Inversions for local helioseismology are an important and necessary step for obtaining threedimensional maps of various physical quantities in the solar interior. Frequently, the full inverse problems that one would like to solve prove intractable because of computational constraints. Due to the enormous seismic data sets that already exist and those forthcoming, this is a problem that needs to be addressed. To this end, we present a very efficient linear inversion algorithm for local helioseismology. It is based on a subtractive optimally localized averaging (SOLA) scheme in the Fourier domain, utilizing the horizontaltranslation invariance of the sensitivity kernels. In Fourier space the problem decouples into many small problems, one for each horizontal wave vector. This multichannel SOLA method is demonstrated for an example problem in timedistance helioseismology that is small enough to be solved both in real and Fourier space. We find that both approaches are successful in solving the inverse problem. However, the multichannel SOLA algorithm is much faster and can easily be parallelized.
 Publication:

Solar Physics
 Pub Date:
 February 2012
 DOI:
 10.1007/s1120701198738
 arXiv:
 arXiv:1109.2712
 Bibcode:
 2012SoPh..276...19J
 Keywords:

 Helioseismology;
 Inverse modeling;
 Astrophysics  Solar and Stellar Astrophysics
 EPrint:
 18 pages, 6 figures, accepted in Solar Physics