Analysis and optimization of blocks in high-frequency sections of linear accelerators and deflectors of charged particles using an equivalent circuit

Abstract

Analysis and optimization of blocks in high-frequency sections of linear accelerators and defectors of accelerated particles is performed using an equivalent circuit. This circuit correctly simulates the lowest accelerating mode as well as the first dipole mode of the E-type for various structures consisting of coupled cells. Analytic expressions are derived for parameters of individual cells of sections for which traveling waves with a preset form of oscillations propagate at a given frequency; optimization of the parameters of the input and output wave-type transformers is carried out. Simple analytic expressions are considered for calculating the complex reflection coefficient of a section in a certain cross section of the lead-in waveguide. The sections may contain identical cells as well as different cells.