Sheared-beam imaging (SBI) should compensate the effects of an idealiz
ed layer of turbulence located either in a transmitter/detector plane
or in an object plane. This motivated the study of optical compensatio
n of SBI in the presence of uniformly distributed turbulence over long
horizontal paths in the cases of ideally smooth and ideally rough ext
ended objects. The phase error along a one-dimensional wave front resu
lting from SBI observation is computed numerically in the long-path re
gime and is compared with that of an equivalent conventional system fo
r the case of a large smooth object. It is found that for the conditio
ns considered the phase errors of the SBI system are greater than thos
e of a conventional system. In the case of an ideally rough object the
extra information furnished by the SBI observations does not lead to
data that can be inverted to compute an image by the conventional shea
ring-interferometric algorithm. The phase errors in imaging a point re
flector, however, are perfectly compensated.