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Reviewer #1:
The manuscript describes a method for xxxxxxxx. Although the general motivation of the work is well written, some derivations of equations are not clear enough to explain the basic principles of the method.  Before acceptance the following points should be clarified and revised.

1. The role of the correlation length T of the surface roughness is described in the introduction.  But it is not included in the equations and the condition on it is neither mentioned.
2. Eq.(7) and the next equation are not correct in their arguments.  The same for the equation following Eq.(8).
3. I cannot derive Eq.(11) from Esq.(6) and (10).
4. What is the physical condition for the size of the small region for averaging?
5. I cannot understand the derivation of Eq.(15).
6. Ref.[40] describes not the spectral correlation method but the angular correlation method.
7. The length L should be indicated in Fig.1.
8. I cannot comprehend the correspondences of Eqs.(21)-(23) with those derived before.
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