COMBINED DISPLACEMENT

If there are several anisoplanatic effects present, with each not decreasing the Strehl ratio much, it is a common practice to multiply the Strehl ratios for the individual effects to get a combined Strehl ratio. The validity of this assumption is now examined. The total displacement that is due to a translation, an angular offset, a time delay, and a chromatic offset is
#math104#
dt(z) = d + #tex2html_wrap_indisplay1258#θz + v(z)τ + dc(z),     (46)

where chromatic displacement is given in Eq. (50). The two terms necessary for calculating the Strehl ratio are
#math105#
E = #tex2html_wrap_indisplay1265#, (47)
σ#tex2html_wrap_indisplay1267#2 = d 5/3, (48)

where
#math106#
dm = 2.91 k02#tex2html_wrap_indisplay1272#dz Cn2(z#tex2html_wrap_indisplay1275#dt(z)#tex2html_wrap_indisplay1276#.     (49)

...

... Tyler <#376#>et al.<#376#>[#18##1###] took advantage of the vector nature of the displacement almost to eliminate the effect of chromatic anisoplanatism on an adaptive-optics system by choosing an optimal offset angle of a beacon from the propagation direction.