Principle and analysis of multiturn injection using stable islands of transverse phase space

By applying a time reversal to the multiturn extraction method recently proposed, a novel approach to perform multiturn injection is described. It is based on the use of stable islands of the horizontal phase space generated by means of sextupoles and octupoles. A particle beam can be injected into stable islands of phase space, and then a slow tune variation allows merging the beam trapped inside the islands. The results of numerical simulations will be presented and discussed in detail, showing how to use the proposed approach to generate hollow bunches in the transverse phase space, and how different resonances can be used. The dependence of the final beam parameters on the key quantities of the proposed approach, such as emittance of the initial beam and the way the resonance is crossed, is investigated. Furthermore, a comparison of the proposed approach against the classical multiturn injection without the use of stable islands is carried out.