8 citations · 17 across the 4 of their papers we have counts for
6 papers
McMillan map and nonlinear Twiss parameters
Timofey Zolkin, Sergei Nagaitsev, Ivan Morozov
In this article we consider two dynamical systems: the McMillan sextupole and octupole integrable mappings originally introduced by Edwin McMillan; the second one is also known as…
Accelerator and Beam Physics: Grand Challenges and Research Opportunities
S. Nagaitsev, V. Shiltsev, A. Valishev +18
Accelerator and beam physics (ABP) is the science of the motion, generation, acceleration, manipulation, prediction, observation and use of charged particle beams. It focuses on fu…
Extracting Dynamical Frequencies from Invariants of Motion in Finite-Dimensional Nonlinear Integrable Systems
Chad E. Mitchell, Robert D. Ryne, Kilean Hwang +2
Integrable dynamical systems play an important role in many areas of science, including accelerator and plasma physics. An integrable dynamical system with degrees of freedom (…
Accelerator and Beam Physics Research Goals and Opportunities
S. Nagaitsev, Z. Huang, J. Power +20
This report is a summary of two preparatory workshops, documenting the community vision for the national accelerator and beam physics research program. It identifies the Grand Chal…
Betatron frequency and the Poincare rotation number
Sergei Nagaitsev, Timofey Zolkin
Symplectic maps are routinely used to describe single-particle dynamics in circular accelerators. In the case of a linear accelerator map, the rotation number (the betatron frequen…
TMCI with Resonator Wakes
Alexey Burov, Timofey Zolkin
Transverse mode-coupling instability (TMCI) with a high-frequency resonator wake is examined by the Nested Head-Tail Vlasov solver (NHT), where a Gaussian bunch in a parabolic pote…