From refraction ..Another "phenomenon" occurs ,
inside the polymer matrix of screen
TIR ..
Total Internal Reflection(s)...

..
Oh ...That is a serious one ....
While utilised in led lens manufacturing ....

In case of a screen ,covering the leds ...
Things aren't that ..."nice " .....
Example ...
Two leds .....
Let's say one Oslon SSL 80 (full cone angle=80°-
at where rel.power is at 50%- ,half =40° )
And one Oslon SSL 150° ....
Let's take the case of an Acrylic ( PolyMethyl-MethAcrylate aka
PMMA aka Plexiglass... ) transparent screen ...
With the Oslon SSL 80 ,light with incident(to screen ) angles over 42° ,get reflected back ...
But this led has it's 50% of rel. output light power at 40° half angle ..
Light that gets reflected back ,has rel . power of less than 50% ......
But for the Oslon 150...
Things are different ...Since it has it's Half Angle at ~75° ....
So ..Plenty of light,is actually reflected back ,from screen ,not exiting the other side ....
And ,in fact ,is quite a big amount of light loss .....
So ....
Material of screen and led's emission angle ,are tightly related ......
http://refractiveindex.info/?group=PLASTICS&material=PC
https://en.wikipedia.org/wiki/High-refractive-index_polymer