# Global uniqueness in a passive inverse problem of helioseismology

## TL;DR

This paper proves that solar interior parameters like sound speed, density, and attenuation can be uniquely determined from acoustic observations at specific heights and frequencies, supported by numerical simulations.

## Contribution

It establishes the theoretical uniqueness of recovering solar parameters from limited acoustic measurements and confirms it through numerical simulations.

## Key findings

- Observations at two heights and frequencies uniquely determine solar parameters.
- Numerical simulations support the theoretical uniqueness result.
- Provides a foundation for inverse helioseismology methods.

## Abstract

We consider the inverse problem of recovering the spherically symmetric sound speed, density and attenuation in the Sun from the observations of the acoustic field randomly excited by turbulent convection. We show that observations at two heights above the photosphere and at two frequencies above the acoustic cutoff frequency uniquely determine the solar parameters. We also present numerical simulations which confirm this theoretical result.