# A comparison between Faraday Tomography and Synchrotron Polarization Gradients

## TL;DR

This paper compares Faraday Tomography and Synchrotron Polarization Gradients, highlighting their respective strengths and limitations in reconstructing 3D magnetic fields from synchrotron polarization data.

## Contribution

It provides a comparative analysis of FT and SPG techniques, demonstrating how SPG can succeed where FT fails, especially with limited frequency coverage.

## Key findings

- SPG can trace 3D magnetic structures when FT fails.
- FT requires extensive frequency coverage for effective reconstruction.
- SPG offers a complementary approach to FT in magnetic field studies.

## Abstract

Observations of synchrotron polarization at multiple frequencies in the presence of Faraday rotation can provide a way to reconstruct the 3D magnetic field distribution. In this paper we compare the well known Faraday Tomography (FT, Burn 1966) technique to the new approach named Synchrotron Polarization Gradients (SPG, Lazarian & Yuen 2018b). We compare the strengths and limitations of the two techniques, and describe their synergy. In particular, we show that in the situations when FT technique fails, e.g. due to insufficient frequency coverage, the SPG can still trace the 3D structure of magnetic field.