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Modification of coupled integral equations method (CIEM) for calculating thecharacteristics of the accelerating structures is presented in this paper. Inearlier developed CIEM schemes the coupled integral equations are derived forthe unknown electrical fields at interfaces that divide the adjacent volumes.In addition to the standard division of the structured waveguide by interfacesbetween the adjacent cells, we propose to introduce new interfaces in placeswhere electric field has the simplest transverse structure. Moreover, thesystem of coupled integral equations is formulated for longitudinal electricalfields in contrast to the standard approach where the transverse electricalfields are unknowns. The final matrix equations contain expansion coefficientsof the longitudinal electric field at these additional interfaces. Thismodification makes it possible to deal with a physical quantity that plays animportant role in the acceleration of particles (a longitudinal electricfield), and to obtain approximate equations for the case of a slow change inthe waveguide parameters.

Modification of coupled integral equations method for calculation the accelerating structure characteristics