Results from the comparison of inferences using two values of α in Eq. (16). Panels a and b: two-dimensional joint posteriors in the (ζ, l/R) parameter space for α = 1 and α = π/2, respectively. Panels c and d: one-dimensional cuts of the joint posteriors along fixed values of l/R = 0.6 and ζ = 3, respectively. Same line-styles are used to identify cut directions in panels a and b with the corresponding results in panels c and d. The vertical solid lines in panels c and d show the algebraic inversion results using Eq. (16) and the fixed values of l/R = 0.6 in panelc and ζ = 3 in paneld. Panels e and f: marginal posteriors for ζ and l/R, respectively. In these calculations r = τ_D/P = 2 and σ = 0.1r.