DISPLACEMENT ANISOPLANATISM

In the simplest case of displacement anisoplanatism, which was treated in Section [*], the displacement is constant along the propagation direction. The terms to use to find the Strehl ratio are
d (z) = d, (26)
d 2 = 2.91 k02 μ0 d2, (27)
E = 6.88 $\displaystyle \left(\vphantom{ {{d \over D}} }\right.$$\displaystyle {{d \over D}}$$\displaystyle \left.\vphantom{ {{d \over D}} }\right)^{2}_{}$$\displaystyle \left(\vphantom{ {{D \over {r_o}}} }\right.$$\displaystyle {{D \over {r_o}}}$$\displaystyle \left.\vphantom{ {{D \over {r_o}}} }\right)^{{5/3}}_{}$, (28)
σ$\scriptstyle \varphi$2 = 2.91 k02 μ0 d5/3 = 6.88 $\displaystyle \left(\vphantom{ {{d \over {r_o}}} }\right.$$\displaystyle {{d \over {r_o}}}$$\displaystyle \left.\vphantom{ {{d \over {r_o}}} }\right)^{{5/3}}_{}$. (29)

The Strehl ratios are plotted in Figs. [*] and [*].