CALCULATION OF ELECTROMAGNETIC FIELDS IN RESONATORS WITH A COMPLICATED SHAPE OF A BIPERIODIC RETARDING STRUCTURE

The numerical modelling finds more and more various applications in the study of electrodynamic processes in accelerators for charged particles. The tendency to increase the current of charged particles and power of plants, in general, led to new requirements for the numerical modelling of electrodynamic processes. One of the essential requirements is the multimode property of the model – the possibility to analyze the interaction of beams of charged particles with a complex of electromagnetic oscillations that are excited in the displacement volume of power units. This article considers the method of calculation of electromagnetic fields in the resonators of a complicated shape, which are used in the linear electron accelerators with biperiodic retarding structure in a standing wave mode. The absence of an analytical solution to this problem makes it impossible to calculate radial dynamics in such structures. The results obtained by using numerical methods of calculation can be used when considering the motion of charged particles in general - both radial and longitudinal.