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. ...


#math197#
d (z) = v(z)τ, (27)
d2 = 2.91 k02#tex2html_wrap_indisplay1845#dz Cn2(z) v2(z) τ2 = #tex2html_wrap_indisplay1848#τ/τ2#tex2html_wrap_indisplay1849#, (28)
E = #tex2html_wrap_indisplay1853#, (29)
σ#tex2html_wrap_indisplay1855#2 = 2.91 k02#tex2html_wrap_indisplay1858#dz Cn2(z) v5/3(z) τ5/3 = #tex2html_wrap_indisplay1861#τ/τ5/3#tex2html_wrap_indisplay1862#, (30)

71 
verbatim138#
72

where the temporal moment is defined as

#math198#
1/τm5/3 = 2.91 k02#tex2html_wrap_indisplay1865#dz Cn2(z) vm(z).     (31)

...