Transverse profiles of several simple model filaments (a) and corresponding power spectra (b). Panel a: red curve shows the Gaussian column density profile of the filament displayed in Fig. 1, which has a FWHM width of 0.1 pc at a distance of 140 pc. The red vertical line marks the FWHM of the Gaussian profile. The black dashed and dotted curves display Plummer-like filament profiles with R_flat ∼ 0.03 pc and logarithmic slopes p = 1.5, 2, 2.6, and 4. Panel b: all power spectra were normalized to 1 at the lowest angular frequency . The power spectra all decrease sharply at high angular frequencies, with the highest rate of decrease obtained for the Gaussian model (red curve). For the Plummer models, the rate of decrease is higher for higher p values. Note the kink near k = 0.8 arcmin⁻¹ for the Plummer model with p = 1.5, which disappears for higher p values. The red vertical dashed line denotes scale Γ_fil = 0.24 arcmin⁻¹.