Fig. 1

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Profiles of the spherical and cylindrical models. Model 𝒢 has a Gaussian shape, whereas the power-law models ƤA, ƤB, ƤC, and ƤD have extended envelopes outside their Gaussian core, with the volume densities ρ ∝ r−α and intensities I ∝ θ−β (Table 1). The profiles, differing in intensity (density) by a factor of 3, fall off steeply at the outer boundary Θ = 64″ because of the adopted geometry of the finite models. The dashed profiles correspond to the “infinite” models (no outer edge within the entire image area), discussed in Sect. 4.6.
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