Integration techniques based on Lie algebraic methods have been successfully used in beam transport codes for particle accelerators. Generally these methods have been applied to problems of single-particle beam dynamics. Here we present an application of Lie algebraic techniques to the development of a Vlasov solver suitable for problems of beam transport in the presence of non-negligible particle self-fields. The solver we discuss is suitable for modelling a variety of collective effects that may arise at high current. In particular, we consider the case of coherent synchrotron radiation effects in magnetic bunch compressors which can cause instabilities limiting performance of high current accelerators.
All Science Journal Classification (ASJC) codes
- Astronomy and Astrophysics
- Physics and Astronomy (miscellaneous)
Migliorati, M., Dattoli, G., Schiavi, A., & Venturini, M. (2009). A vlasov solver for collective effects in particle accelerators. Nuovo Cimento della Societa Italiana di Fisica C, 32(2), 161 - 164. https://doi.org/10.1393/ncc/i2009-10394-7