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We analyse in detail the attenuation caused by an isothermal turbulentdistant foreground dust screen. The attenuation curve is well determined by twoparameters, the absolute-to-relative attenuation ratio R^A_V=A_V/E(B-V) and theabsolute attenuation A_V. We show quantitatively how these two observablequantities depend on the statistical properties of the local density and themean attenuation <A_V> and how they vary with the thickness of the screenmeasured in units of the largest turbulent scale. The attenuation through aturbulent medium is characterised by higher transparency and a flatterattenuation curve in comparison with a homogeneous dust screen. In general, theeffect of the turbulent medium on the attenuation increases with slicethickness. In the limit of thick slices, typically larger than the maximumturbulent scale, R^A_V asymptotically approaches a maximum value.Comment: 38 pages, 48 figures, accepted for publication in ApJ, Jan. 200

Attenuation Caused by a Distant Isothermal Turbulent Screen