I never worked with Fresnel antennas, but i still find very strange..someday i will buid one and test it;)
About the 1mm accuracy, i dont have any theoricall explanation (this is only a hobby
), but what i learn in the last couple of years:
-Conical Horn´s. 1mm wont make any difference, 10mm will increase/lower the gain of the antenna, maybe 0.3dBi?! yes, s-dB/VSWR/sidelobes will change, but again it doesnt change enough fto have very poor performance.
-Reflector antennas, my latest reflector antenna was a 32cm version (65% efficiency) made of aluminum cardboard (material for 1mm accuracy?), aimed to a 54dBW satellite i started with 70% signal (usually my receiver receives signal without freezes at 45/50%)..i spent the last days "molding" the antenna to perform better, the result´s..an extra 6%. If i touch or deform a little the antenna it wont affect that much.
I dont have a 30cm commercial antenna to do a comparisation, but the difference of signal between my 32cm version and a commercial one wont be very large (maybe 10%?)...for 60Ghz antennas, the 1mm accuracy will be needed, but in 12Ghz? I only need 1mm accuracy with microstrip/patch antennas (2.4Ghz).