Another guess,
which reinforce the idea that \(a_{\psi\,ne}\) is invisible or transparent.
\(a_{\psi\,ne}\) shatters at the medium boundary. Some particles recombine and give \(a_{\psi}\ge a_{\psi\,ne}\) up till \(a_{\psi}\le a_{\psi\,\pi}\)
Since, particles of size \(a_{\psi}\ge a_{\psi\,ne}\) require recombination to form, they are expected to be of lower number density (lights of lower intensity).
...anymore guesses and physics is a TV game show...