Electron Acceleration in a Homogenious Disc Loaded Guide with Beam Loading Effect

The problem of steady state beam loading in electron linac guides is considered. Obtained solutions differ drastically from the results published in the other papers and books. The threshold currents which can be accelerated in electron linacs were defined. It is shown that the efficiency of an accelerating guide in steady state operation can't exceed 0.7 at the relative guide length ξ =1/λ =5 and 0.83 at ξ =10. The limiting charge of single bunch is obtained. It can't exceed 40 nC or 2.4x 10¹¹ electrons/bunch for the 30 MW power generator at 2GHz and the disc loaded guide (DLG) with the parameter α/λ = 0.20.