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      Multi-Channel Three-Dimensional SOLA Inversion for Local Helioseismology

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          Abstract

          Inversions for local helioseismology are an important and necessary step for obtaining three-dimensional 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 horizontal-translation invariance of the sensitivity kernels. In Fourier space the problem decouples into many small problems, one for each horizontal wave vector. This multi-channel SOLA method is demonstrated for an example problem in time-distance 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 multi-channel SOLA algorithm is much faster and can easily be parallelized.

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          Author and article information

          Journal
          2011-09-13
          Article
          1109.2712
          f6e6ac64-dba0-41fe-8aa8-167b0cb485a2

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          18 pages, 6 figures, accepted in Solar Physics
          astro-ph.SR

          Solar & Stellar astrophysics
          Solar & Stellar astrophysics

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