What about,
\(n=\cfrac{a_\psi}{a_\psi-d}\) and
\(n=\cfrac{\psi_{n\,i}}{\psi_{n\,r}}\) ??
A new expression for \(n\) is derived in the post "Success Is In The Way You Handle The Question"
In this perspective,
\(\psi_r=h.f_r=\psi_o+x_rF=2\pi a_{\psi\,r}mc\)
\(\psi\propto a_\psi\)
and obviously,
\(a_\psi-d=a_{\psi\,r}\)
we still have a valid and consistent expression for \(n\). As far as this view is concerned, \(\psi\) deformed uniformly into a smaller sphere of new radius \(a_{\psi\,r}\).
So, X-ray can be made more penetrating by passing through a prism. Only experiment will tell.
