# Tracing Magnetic Field with Synchrotron Polarization Gradients: Parameter Study

## TL;DR

This study uses MHD simulations to evaluate synchrotron polarization gradient techniques for mapping 3D magnetic fields in turbulent astrophysical environments, demonstrating their effectiveness with multi-frequency data.

## Contribution

It introduces and tests a novel method for reconstructing 3D magnetic fields using synchrotron polarization gradients in the presence of Faraday rotation.

## Key findings

- Successfully reconstructs 3D magnetic fields in simulated Milky Way environments.
- Demonstrates the technique's applicability to multi-frequency radio data.
- Shows potential for application to large radio astronomy data sets.

## Abstract

We employ synthetic observations obtained with MHD simulations to study how to trace the distribution of turbulent magnetic fields using the synchrotron polarization gradient techniques suggested by Lazarian \& Yuen (2018). Both synchrotron polarization gradients and its derivative gradients with regard to the squared wavelength $\lambda^2$ are used to explore the probing ability of the technique in magnetic fields from sub- to super-Alfv{\'e}nic turbulence. We focus on studies that involve multi-frequency measurements in the presence of strong Faraday rotation and show the ways of how to recover the projected mean magnetic fields in the plane of the sky and the local magnetic fields within a tomographic slice. We conclude that the new techniques can successfully reconstruct the 3D magnetic field within our Milky Way and other galaxies. This paper opens an avenue for applying our new techniques to a large number of data cubes such as those from the Low Frequency Array for Radio astronomy and the Square Kilometer Array.