Dispersion of Magnetic Fields in Molecular Clouds. IV - Analysis of Interferometry Data

TL;DR

This paper refines the analysis of magnetic field dispersion in molecular clouds using interferometry data, accounting for filtering effects to reliably estimate turbulence scales and magnetic field strengths.

Contribution

It introduces an improved technique for analyzing interferometry polarimetry data to accurately determine turbulence correlation lengths and magnetic field strengths in molecular clouds.

Findings

Estimated turbulence correlation lengths range from 12 to 22 mpc.

Magnetic field strengths are approximately 0.7 to 1.2 mG.

Turbulent-to-total magnetic energy ratios are around 0.58 to 0.74.

Abstract

We expand on the dispersion analysis of polarimetry maps toward applications to interferometry data. We show how the filtering of low-spatial frequencies can be accounted for within the idealized Gaussian turbulence model, initially introduced for single-dish data analysis, to recover reliable estimates for correlation lengths of magnetized turbulence, as well as magnetic field strengths (plane-of-the-sky component) using the Davis-Chandrasekhar-Fermi method. We apply our updated technique to TADPOL/CARMA data obtained on W3(OH), W3 Main, and DR21(OH). For W3(OH) our analysis yields a turbulence correlation length $\delta\simeq19$ mpc, a ratio of turbulent-to-total magnetic energy $\left\langle B_{\mathrm{t}}^{2}\right\rangle /\left\langle B^{2}\right\rangle \simeq0.58$, and a magnetic field strength $B_{0}\sim1.1\:\mathrm{mG}$; for W3 Main $\delta\simeq22$ mpc, $\left\langle B_{\mathrm{t}}^{2}\right\rangle /\left\langle B^{2}\right\rangle \simeq0.74$, and $B_{0}\sim0.7\:\mathrm{mG}$; while for DR21(OH) $\delta\simeq12$ mpc, $\left\langle B_{\mathrm{t}}^{2}\right\rangle /\left\langle B^{2}\right\rangle \simeq0.70$, and $B_{0}\sim1.2\:\mathrm{mG}$.