I just got one of those Docters and verily, fire shoots out the back. It is, at last, the large binocular of my dreams! That's my fanboy rave of the week.
In 1991, an article in SPIE volume 1533, by Konrad Seil of Swarovski described, among other things, an interesting aspect of Schmidt-Pechan prisms. The first face that the beam enters through also serves as a total internal reflector. The problem is, that at least at that time, the application of antireflection multilayer coatings to that surface degraded the resolution of the binocular. MTF plots with different kinds of coatings were shown. The best compromise at that time was, to apply only a single MgF2 coating to that surface. This diminished transmission a little compared to multicoatings, but preserved the resolution, which Swarovski felt was the main thing. I wonder if this situation has been improved. If not, that's a percent or two right there, never mind the efficiency of the dielectric coat, on another surface.
Another question I have, that pertains to both AK and SP prisms regards the phase correcting coatings. What is their reflectivity? Being made of dielectric material, they "could" be excellent, I guess, but I never saw this discussed anywhere, other than speculation.
All in all, if you take the glass transparency, AR Multicoat, and best dielectric reflective coating claims literally, you wind up wondering why the transmission of the best binoculars is so LOW.
Ron
PS, I am not sure that the face of the SP that does double duty transmission/internal reflection is the first entrance face, but one of the faces does this, so the basic situation is as I described.