Really struggling with this one.
Under what conditions would the reflectance R and the transmittance T be equal to each other at normal incidence at an interface? What would be the values of R and T under these conditions?
Where $n1$ and $n2$ are the refractive indices either side of the interface.
No attenuation, satisfying the conservation of energy across a boundary of infinitesimal distance, $R+T=1$
Setting $R=T$ gives the relation $n1= $$3 (n2) + 2 sqrt(2)(n2$)
This is where I'm stuck. I don't find this answer satisfying, as it is only valid for refractive indices well beyond the usual range.
What am I missing?