Hi Chosun,
Sorry, I haven't found anything like that. The patent application is the closest thing to a "technical paper", but I don't see anything in it that could be used to predict exact size and weight compared to other prism types.
Henry
I have collected some data regarding the volumes of different prism types. We have to take these numbers with a grain of salt, however, because all prism types do exist in several different variants.
Assume that the entrance width (the maximum diameter of the beam that can pass the prism entrance without vignetting) is w, then we can easily calculate the volume of a symmetric Porro I system as 2 w^3. Many wide angle binoculars have asymmetric Porros implemented, in which the second prism is of reduced size. It then depends on the details of the optical design (and hence the shape of the light cone) how far one can drive such a weight reduction.
The Porro II has, in its original variant, identical volumes (2 w^3), though Zeiss implemented modifications with reduced weight (as discussed in Hans Seeger, "Zeiss Handferngläser 1919-1946", pages 354ff).
Andreas Perger cites (in a guest-contribution to my book) for a typical incarnation of his Porro design a rather small volume of only 1.37 w^3, quite a bit less than the Porro II. But due to the bottleneck, a larger value of the prism entrance w may be required (again, depending on the shape of the light cone).
The most common Schmidt-Pechan prism has a volume of 1.8 w^3, and the Abbe-Koenig is the most bulky one with 3.72 w^3. I haven't found values for the Uppendahl prism, but estimate its volume around 2.25 w^3.
The weight of the prism then further depends on the density of the glass. BaK4 has a density of 3.10 g/cm^3, while BK7 is less dense with 2.51 g/cm^3. With the Abbe-Koenig prism, but also the Schmidt-Pechan, the two prism elements may be made of different glass types, but I haven't found detailed information about that.
Precise geometries of several prism designs are published in the book of Paul R. Yoder, Jr: "Mounting Optics in Optical Instruments", SPIE Press Bellingham, Washington USA (2008).
In summary, I guess it is close to impossible to estimate the weight of a well optimized prism without referring to the details of the optical design, i.e. the exact shape of the ray pencil, the choice of glass types and the amount of vignetting the designer is willing to accept.
Cheers,
Holger