If you are referring to penetration depth, the correct equation for scattering-absorbing media is d = sqrt(1/(3*(muA+muS')*muA)), where muS' = muS*(1-g) . muA - absorption coefficient, muS - scattering coefficient and g - anisotropy. You can read more about it in https://www.imt.liu.se/edu/courses/TBMT36/pdf/JBO2.pdf
The reference has NOTHING to do with the question and it even was up-voted?
The answer is: in principle yes but what does the questioner want to do with the OD?
However form a theoretical point of view the absorption is not independent of scattering because the absorptive soot is inside material with lensing of the outer non-absorptive layer. This makes increases the absorption
@ harry, I wanted the AOD as an input for TUV model for calculation of photolysis frequencies. I was trying to download the daily 1X1 degree level 3 AOD data from http://gdata2.sci.gsfc.nasa.gov/daac-bin/G3/gui.cgi?instance_id=omi
But there I can find different absorption and extinction optical depth for a given wavelength. This is why i asked this question.