Abstract
Principle of operation of barrier RF voltage systems that are used for stacking and acceleration of charged particles in proton synchrotrons and storage rings is presented. The description is based on two sample models of such systems: with rectangular and quasi-sinusoidal barriers. Two different methods are used for description of particle dynamics in synchrotrons with barrier RF voltage. The first method is “stepwise” analysis of particle motion in the “momentum-phase” space. This method allows to give a clear and simple description of physical principles of the method and to obtain its main properties in analytical form. However, this method is not always efficient. Therefore, a method of analysis of phase motion of particles in barrier systems based on solution of differential equations of phase motion is presented in the paper and is widely used in practice. This method allows both analytical calculations and numeric simulation, which is illustrated with the aid of supplied examples.
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Original Russian Text © I.N. Meshkov, 2014, published in Fizika Elementarnykh Chastits i Atomnogo Yadra, 2014, Vol. 45, No. 2.
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Meshkov, I.N. Method of barrier voltages in cyclic accelerators. Phys. Part. Nuclei 45, 452–471 (2014). https://doi.org/10.1134/S1063779614020038
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DOI: https://doi.org/10.1134/S1063779614020038