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Fig. 2

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Optical depth Eq. (9) as a function of height (first, third, and fifth rows) calculated with the trapezoidal (first column), parabolic (second column), spline (third column), and cubic Hermite (fourth column) conversion schemes for a line of sight with µ = 0.17 and different Nz values (see legends on first column), for the continuum (first row), Sr i 4607 (third row), and Ca I 4227 (fifth row) settings. The second, fourth, and sixth rows show the corresponding relative error as a function of Nz, also reporting the convergence rate, kτ, obtained fitting the encircled data. The reference solution is obtained with the cubic Hermite conversion scheme and using Nz = 2561. The relative error of the parabolic and spline conversions for the coarsest spatial grid is out of the plot range.

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