Time domain analysis of higher order modes induced power dissipation in accelerating cavities
We give a semi-analytical method for the calculation of the transient power and energy dissipated in the cavity walls of an accelerating structure due to the excitation of the higher order modes by a sequence of accelerating bunches. We treat the case where more than one bunch is present in the structure at the same time. The dissipated power is evaluated using the Lagrangian formalism and the dis