TIME DELAY

If there is a time delay between when turbulence is measured and when a correction is applied to the deformable mirror, there is a degradation in performance.[#7##1###] This effect is not often thought of as an anisoplanatic effect; however, it can be treated as such. ...
#math96#
d (z) = v(z)τ, (35)
d2 = 2.91 k02#tex2html_wrap_indisplay1184#dz Cn2(z) v2(z) τ2 = #tex2html_wrap_indisplay1187#τ/τ2#tex2html_wrap_indisplay1188#, (36)
E = #tex2html_wrap_indisplay1192#, (37)
σ#tex2html_wrap_indisplay1194#2 = 2.91 k02#tex2html_wrap_indisplay1197#dz Cn2(z) v5/3(z) τ5/3 = #tex2html_wrap_indisplay1200#τ/τ5/3#tex2html_wrap_indisplay1201#, (38)

where the temporal moment is defined as
#math97#
1/τm5/3 = 2.91 k02#tex2html_wrap_indisplay1204#dz Cn2(z) vm(z).     (39)

...