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Lada et al. (1994) have described a method for studying the distribution ofdust in dark clouds using infrared imaging surveys. In particular they showthat the method provides some information about the structure of the gas (dust)on scales smaller than their resolution.  In the present work we clarify the nature of the information provided bytheir method.  We show that:  1) the 3D density field of the gas is well described by a Log-Normaldistribution down to very small scales;  2) the power spectrum and the standard deviation of the 3D density field canbe constrained;  3) the origin of such a structure of the density field is likely to be thesupersonic turbulence in the gas.  In fact we find a qualitative and quantitative agreement between thepredictions based on recent numerical simulations of supersonic turbulence(Nordlund and Padoan 1996; Padoan, Nordlund and Jones 1996) and the constraintsgiven by the infrared dust extinction measurements

Supersonic Turbulence in the Interstellar Medium: Stellar Extinction Determinations as Probes of the Structure and Dynamics of Dark Clouds