We use Mellin-transform techniques to derive generalized expressions
for the piston-removed and piston-and-tilt-removed anisoplanatic error
in non-Kolmogorov turbulence with a finite outer scale. We use these
expressions to investigate the behavior of the anisoplanatic error
when imaging over long horizontal paths where the angular extent of
the scene is often many times the isoplanatic angle. By evaluating
these expressions, we first find that in many cases, the anisoplanatic
error saturates to a value less than
1
r
a
d
2
. Next, as power law increases, the
contributions due to piston and tilt dominate the anisoplanatic error
expression. Last, the size of the outer scale contributes primarily to
the piston and tilt terms. Together, these behaviors imply that when
piston and tilt are removed, anisoplanatism is reduced by as much as
60%.