How do f-mode Frequencies Change with Solar Radius?

TL;DR

This paper investigates the relationship between f-mode frequency variations and solar radius changes, finding that previous models do not accurately describe this relation and proposing a new approximation for better understanding.

Contribution

The study challenges existing models linking f-mode frequency shifts to solar radius perturbations and introduces an improved approximation for the kernel in the subsurface layers.

Findings

Previous models do not accurately relate f-mode frequency changes to radius variations.

An improved kernel approximation for the subsurface layers is proposed.

The relation between frequency variation and radius perturbation is more complex than previously thought.

Abstract

We test the relation between relative f-mode frequency variation and Lagrangian perturbation in the solar radius obtained by Dziembowski and Goode (2004) using several pairs of solar models and show that it doesn't hold true for any of the model pairs we have used. We attempt to derive a better approximation for the kernel linking the relative frequency changes and the solar radius variation in the subsurface layers