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20162025
most citedBetatron frequency and the Poincare rotation number

11 citations · 64 across the 19 of their papers we have counts for

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8 papers · 1 filter

physics.acc-ph2022

Symplectic Particle Tracking in a Thick Nonlinear McMillan Lens for the Fermilab Integrable Optics Test Accelerator (IOTA)

B. Cathey, G. Stancari, T. Zolkin

The McMillan system is a novel method to increase the tune spread of a beam without decreasing its dynamic aperture due to the systems integrability. While the ideal system is base…

physics.acc-ph2022★ 3 cited

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…

physics.acc-ph2021★ 8 cited

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 (…

physics.acc-ph2021★ 5 cited

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…

physics.acc-ph2019★ 11 cited

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…

physics.acc-ph2018

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…

physics.acc-ph2017★ 10 cited

TMCI and Space Charge

T. Zolkin, A. Burov

Transverse mode-coupling instability (TMCI) is known to limit bunch intensity. Since space charge (SC) changes the spectra of the collective modes, it affects the TMCI threshold as…

physics.acc-ph2016★ 4 cited

On sector magnets or transverse electromagnetic fields in cylindrical coordinates

Timofey Zolkin

The Laplace's equations for the scalar and vector potentials describing electric or magnetic fields in cylindrical coordinates with translational invariance along azimuthal coordin…