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There is a strong demand for accelerating structures able to achieve highergradients and more compact dimensions for the next generation of linearaccelerators for research, industrial and medical applications. In theframework of the Compact Light XLS project, an ultra high gradient higherharmonic RF accelerating structure is needed for the linearization of thelongitudinal space phase. In order to determine the maximum sustainablegradients in normal conducting RF powered particle beam accelerators withextremely low probability of RF breakdown, investigations are in progress forusing shorts accelerating structures in the Ka-band regime. We here report anelectromagnetic design of a compact linearizer standing wave (SW) acceleratingstructure 8 cm long operating on $\pi$ mode, third harmonic with respect to theLinac frequency (11.994 GHz) with a 100 MV/m accelerating gradient and minimumsurface electric field. Numerical electromagnetic studies have been performedby using the well known SuperFish, HFSS and CST computing software.

A SW Ka-Band Linearizer Structure with Minimum Surface Electric Field for the Compact Light XLS Project