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.

arXiv comment24 pages, 8 Figures; MNRAS

References in corpus (7)

• Structure and Evolution of Giant Cells in Global Models of Solar Convection
• Anomalously Weak Solar Convection
• Seismic Sounding of Convection in the Sun
• Helioseismic Imaging of Fast Convective Flows Throughout the Near-Surface Shear Layer
• Microlensing Discovery of a Tight, Low Mass-ratio Planetary-mass Object around an Old, Field Brown Dwarf
• Improved Helioseismic Analysis of Medium-l Data from the Michelson Doppler Imager
• Evidence for Large-Scale Subsurface Convection in the Sun

Cited by in corpus (12)

• Exploring the latitude and depth dependence of solar Rossby waves using ring-diagram analysis
• Properties of solar Rossby waves from normal mode coupling and characterizing its systematics
• A Critical Evaluation of Recent Claims Concerning Solar Rotation
• Measurement process and inversions using helioseismic normal-mode coupling
• Detection of Rossby modes with even azimuthal orders using helioseismic normal-mode coupling
• Sensitivity kernels for inferring Lorentz stresses from normal-mode frequency splittings in the Sun
• Signature of solar g modes in first-order p-mode frequency shifts
• 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
• Modelling the Center-to-Limb systematic in normal-mode-coupling measurements