Impedance calculations for simple models of kickers in the non-ultrarelativistic regime

Kicker magnets are usually significant contributors to the beam coupling impedance of particle accelerators. An accurate understanding of their impedance is required in order to correctly assess the machine intensity limitations. The field matching method derived by H. Tsutsui for the longitudinal and transverse dipolar (driving) impedance of simple models of kickers in the ultrarelativistic regime was already extended to the non-ultrarelativistic case, and to the quadrupolar (detuning) impedance in the ultrarelativistic case. This contribution presents the extension to the quadrupolar impedance in the non-ultrarelativistic case, as well as benchmarks with other available methods to compute the impedance. In particular, all the components of the impedances are benchmarked with (1) Tsutsui's model, i.e. in the ultrarelativistic limit, (2) the model for the flat chamber impedance recently computed by N. Mounet and E. Métral, in the case of finite relativistic gamma, and with (3) CST Particle Studio simulations.