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- W2024485564 abstract "In this paper, the role of the focusing field profile on the stability of periodically focused particle beams is investigated, paying special attention to the transport within the new regions of stability found recently for vacuum-phase advances well above 90° [R. Pakter and F. B. Rizzato, Phys. Rev. Lett. 87, 044801 (2001)]. In particular, a solenoidal focusing field profile that goes from a smooth sinusoidal-like function to a sharp-edged step-funcion as a continuous parameter is varied is considered. It is shown that the new regions are always present, but may be very sensitive to changes in the focusing field profile. Specifically, as the focusing field becomes more localized, the new regions become narrower, occur at higher vacuum phase advances, and present a larger number of nonlinear resonances and chaos in the beam envelope phase space. Although in all the cases analyzed here it was found that there is a relatively thick layer of regular trajectories isolating the matched solution from the chaotic region, self-consistent simulations show that envelope phase-space chaos may affect beam dynamics, leading to some small emittance growth." @default.
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- W2024485564 date "2003-11-20" @default.
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- W2024485564 title "The role of the focusing field profile on the stability of periodically focused particle beams" @default.
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- W2024485564 doi "https://doi.org/10.1063/1.1619139" @default.
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