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Self consistent analytic and numeric design for a set of electron guns with ahigh beams quality to be used in high power Ka-band klystrons are presented inthis paper. The set of electron guns can be used in the high power Ka-bandklystrons in order to feed linear accelerating structures at 36 GHz with anestimated 20 MW input power by achieving an effective accelerating electricfield in the (100-150) MV/m range. In the framework of the Compact Light XLSproject, a short Ka-band linearizer by working at 36 GHz able for providing anintegrated voltage of at least 15 MV is proposed for bunch-phase linearization.In order to optimize the Ka-band klystrons efficiency for achieving 20 MW RFoutput power, different electron guns and beam focusing channel designs areexamined and discussed in this paper.

Simulations for a low-perveance high-quality beam matching of a high efficiency Ka-band klystron