Sensitivity of Helioseismic Measurements of Normal-mode Coupling to Flows and Sound-speed Perturbations

Abstract

In this article, we derive and compute the sensitivity of measurements of coupling between normal modes of oscillation in the Sun to underlying flows. The theory is based on first-Born perturbation theory, and the analysis is carried out using the formalism described by \citet{lavely92}. Albeit tedious, we detail the derivation and compute the sensitivity of specific pairs of coupled normal modes to anomalies in the interior. Indeed, these kernels are critical for the accurate inference of convective flow amplitudes and large-scale circulations in the solar interior. We resolve some inconsistencies in the derivation of \citet{lavely92} and reformulate the fluid-continuity condition. We also derive and compute sound-speed kernels, paving the way for inverting for thermal anomalies alongside flows.

24 pages, 8 Figures; MNRAS

References in corpus (2)

• Structure and Evolution of Giant Cells in Global Models of Solar Convection
• Helioseismic Imaging of Fast Convective Flows Throughout the Near-Surface Shear Layer

Cited by in corpus (8)

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• Inferring solar differential rotation through normal-mode coupling using Bayesian statistics
• Analyzing supergranular power spectra using helioseismic normal-mode coupling
• Imaging the Sun's near-surface flows using mode-coupling analysis
• Investigating toroidal flows in the Sun using normal-mode coupling