Helioseismic Inversions For Magnetic Field And Sound-speed Perturbations

Computer Science – Sound

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Scientific paper

In local helioseismology, inversion methods that can separate magnetic and thermal perturbations are needed, especially for probing the subsurface structure of sunspots. We present a method for performing linear helioseismic inversions that can infer small-amplitude perturbations to both the magnetic field strength and the sound-speed profile in translation-invariant background models permeated by a 3 kG vertical magnetic field, consistent with expectations for sunspot umbrae. We introduce a novel inversion routine that consists of two parts: first; a traditional regularized least squares inversion is utilized to search regularization-parameter space for inversion coefficients and second; an analysis of these inversion coefficients identifies the sets of coefficients that have the required attributes for a pair of inferred sound-speed and magnetic fields models. We show a case study in which this inversion method is able to accurately recover a sound-speed perturbation and a perturbation in the magnetic field strength simultaneously. We will discuss how these results relate to the local helioseismology of sunspots. This work is supported by NASA contracts NNH09CE41C and NNG07EI51C.

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