Marginal posterior distributions for (a) magnetic field strength, (b) density contrast, and (c) transverse inhomogeneity length scale for the inversion of problem with forward model given by Eqs. (11) and (12), a transverse oscillation with v_ph = 1030 ± 410 km s⁻¹, and different values for the damping time: no damping (solid line), τ_d = 500 s (dotted line), τ_d = 800 s (dashed line), and τ_d = 1200 s (dash-dotted line) with an associated uncertainty of 50 s in all cases. The inferred medians with errors at the 68% credible interval are G for the undamped case, G for τ_d = 500 s, G for τ_d = 800 s, and G for τ_d = 500 s. A fixed value for the loop length L = 1.9 × 10¹⁰ cm was considered in all computations.