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. 2019 Jul 25;9:10837. doi: 10.1038/s41598-019-46630-w

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© The Author(s) 2019

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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Focused VHEE therapy. (a) focused VHEE beam. Schematic diagram (b) showing an electron beam focused into a water phantom by an ideal magnetic lens. The beam diameter at the lens is fixed at 20 cm. Different focusing configurations are studied by varying the position and focal length of the lens, while keeping the focus position fixed, at the reference depth (15 cm). The lens and beam positions can also be changed to scan the single volumetric element over an arbitrary volume.