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A new perspective on turbulent Galactic magnetic fields through comparison of linear polarization decomposition techniques

A new perspective on turbulent Galactic magnetic fields through comparison of linear polarization decomposition techniques

We compare two rotationally invariant decomposition techniques on linear polarization data: the spin-2 spherical harmonic decomposition in two opposite parities, the E- and B-mode, and the multiscale analysis of the gradient of linear polarization, |$|\nabla \boldsymbol {P}|$|⁠. We demonstrate that both decompositions have similar properties in the image domain and …