Characteristics of the fourth order resonance in high intensity linear accelerators

Jeon, D.; Hwang, Kyung Ryun

doi:10.1063/1.4985685

Title: Characteristics of the fourth order resonance in high intensity linear accelerators

Journal Article · 19 June 2017 · Physics of Plasmas

DOI: https://doi.org/10.1063/1.4985685 · OSTI ID:1436155

^[1]; Hwang, Kyung Ryun ^[2]

Institute for Basic Science, Daejeon (South Korea)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

For the 4σ = 360° space-charge resonance in high intensity linear accelerators, the emittance growth is surveyed for input Gaussian beams, as a function of the depressed phase advance per cell σ and the initial tune depression (σ_o – σ). For each data point, the linac lattice is designed such that the fourth order resonance dominates over the envelope instability. Additionally, the data show that the maximum emittance growth takes place at σ ≈ 87° over a wide range of the tune depression (or beam current), which confirms that the relevant parameter for the emittance growth is σ and that for the bandwidth is σ_o – σ. An interesting four-fold phase space structure is observed that cannot be explained with the fourth order resonance terms alone. Analysis attributes this effect to a small negative sixth order detuning term as the beam is redistributed by the resonance. Analytical studies show that the tune increases monotonically for the Gaussian beam which prevents the resonance for σ > 90°. Lastly, frequency analysis indicates that the four-fold structure observed for input Kapchinskij-Vladmirskij beams when σ < 90°, is not the fourth order resonance but a fourth order envelope instability because the 1/4 = 90°/360° component is missing in the frequency spectrum.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1436155

Alternate ID(s):: OSTI ID: 1364184

Journal Information:: Physics of Plasmas, Vol. 24, Issue 6; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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