JACoW is a publisher in Geneva, Switzerland that publishes the proceedings of accelerator conferences held around the world by an international collaboration of editors.
TY - CONF AU - Wong, C.Y. AU - Lund, S.M. ED - Machicoane, Guillaume ED - Allen, Alexa ED - Lesage, Ana ED - Schaa, Volker R.W. TI - Beams with Three-Fold Rotational Symmetry: A Theoretical Study J2 - Proc. of ECRIS2020, East Lansing, MI, USA, 28-30 September 2020 CY - East Lansing, MI, USA T2 - International Workshop on ECR Ion Sources T3 - 24 LA - english AB - Beams from ECR ion sources have 3-fold transverse rotational symmetry induced by the ECR sextupole. The symmetry imposes equality constraints among transverse beam moments, which can be derived using a theoretical framework we developed. Since the constraints are solely a consequence of the rotational symmetry of external fields, they hold for a multi-species beam with arbitrary composition and space charge intensity. These constraints provide a new tool to analyze phase space properties of ECR beams and their impact on low-energy transport. We prove that, regardless of their triangulated spatial density profile, beams with 3-fold rotational symmetry have the same RMS emittance and Twiss parameters along any transverse direction. These counter-intuitive results are applied to the FRIB Front End to show how symmetry arguments challenge long-standing assumptions and bring clarity to the beam dynamics. PB - JACoW Publishing CP - Geneva, Switzerland SP - 110 EP - 113 KW - ECR KW - ion-source KW - solenoid KW - simulation KW - dipole DA - 2022/07 PY - 2022 SN - 2222-5692 SN - 978-3-95450-226-4 DO - doi:10.18429/JACoW-ECRIS2020-TUZZO06 UR - https://jacow.org/ecris2020/papers/tuzzo06.pdf ER -