42 citations · 81 across the 13 of their papers we have counts for
13 papers
A Vlasov Algorithm Derived from Phase Space Conservation
Jonathan P. Edelen, Stephen D. Webb
Existing approaches to solving the Vlasov equation treat the system as a partial differential equation on a phase space grid, and track in either an Eulerian, Lagrangian, or semi-L…
Symplectic Modeling of Beam Loading in Electromagnetic Cavities
Dan T. Abell, Nathan M. Cook, Stephen D. Webb
Simulating beam loading in radiofrequency accelerating structures is critical for understanding higher-order mode effects on beam dynamics, such as beam break-up instability in ene…
A Spectral Symplectic Algorithm for Cylindrical Electromagnetic Plasma Simulations
Stephen D. Webb, Dan T. Abell, Nathan M. Cook +1
Symplectic integrators for Hamiltonian systems have been quite successful for studying few-body dynamical systems. These integrators are frequently derived using a formalism built…
A Hamiltonian Perturbation Theory for the Nonlinear Vlasov Equation
Stephen D. Webb
The nonlinear Vlasov equation contains the full nonlinear dynamics and collective effects of a given Hamiltonian system. The linearized approximation is not valid for a variety of…
A Spectral Canonical Electrostatic Algorithm
Stephen D. Webb
Studying single-particle dynamics over many periods of oscillations is a well-understood problem solved using symplectic integration. Such integration schemes derive their update s…
Chromatic and Dispersive Effects in Nonlinear Integrable Optics
Stephen D. Webb, David L. Bruhwiler, Alexander Valishev +2
Proton accumulator rings and other circular hadron accelerators are susceptible to intensity-driven parametric instabilities because the zero-current charged particle dynamics are…