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. 2018 Apr 19;8:6299. doi: 10.1038/s41598-018-24391-2

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© The Author(s) 2018

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Final energy spread of the proton beam (indicated in the color bar) at the exit of the ES, as a function of the dipole length (x-axis) and magnetic field (y-axis). The maps indicate different mean energies of the selected beam ((A) 2 MeV, (B) 5 MeV, (C) 10 MeV and (D) 20 MeV). The initial divergence of the beam is 3 mrad half-angle for all the cases and the aperture of the selecting slit is 500 µm. By fixing the desired final energy spread value it is possible to identify in the maps the required combination of $l_{d}$ and B related to the working point.