The AODs at different wavelengths are mutually connected by the following equation:
AOD(wl_2)/AOD(wl_1) = (wl_1/wl_2)^A
where wl_x denotes the wavelength. A denotes the Ångström exponent. More details could be found in Marseille et al.(2011), The definition of an atmospheric database for Aeolus
Thanks for your reply. This works for the determination of normal AOD at given wavelength with respect to known normal AOD at the other wavelength using the Ångström exponent . But, I meant the conversion of normal AOD to deep blue AOD.
I think I got my answer Felix Seidel. I always thought of DB AOD and standard AOD (with no information from blue band) as two products which necessarily show different values of AOD at 550 nm. In fact, I thought that I should use a model to scale standard AOD to DB AOD, or vice versa, to make them comparable.
According to Sayer 2013 (http://onlinelibrary.wiley.com/doi/10.1002/jgrd.50600/abstract), I found that DB AOD and standard AOD at 550 nm (for example, from AERONET) can be directly compared and they do not need to be scaled.