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Title: Parametric Landau damping of space charge modes

Abstract

Landau damping is the mechanism of plasma and beam stabilization; it arises through energy transfer from collective modes to the incoherent motion of resonant particles. Normally this resonance requires the resonant particle's frequency to match the collective mode frequency. We have identified an important new damping mechanism, parametric Landau damping, which is driven by the modulation of the mode-particle interaction. This opens new possibilities for stability control through manipulation of both particle and mode-particle coupling spectra. We demonstrate the existence of parametric Landau damping in a simulation of transverse coherent modes of bunched accelerator beams with space charge.

Authors:
 [1];  [1];  [1];  [1];  [1]
  1. Fermilab
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1402483
Report Number(s):
arXiv:1609.09393; FERMILAB-PUB-16-391-APC-CD
1488626
DOE Contract Number:
AC02-07CH11359
Resource Type:
Journal Article
Resource Relation:
Journal Name: TBD
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Macridin, Alexandru, Burov, Alexey, Stern, Eric, Amundson, James, and Spentzouris, Panagiotis. Parametric Landau damping of space charge modes. United States: N. p., 2016. Web.
Macridin, Alexandru, Burov, Alexey, Stern, Eric, Amundson, James, & Spentzouris, Panagiotis. Parametric Landau damping of space charge modes. United States.
Macridin, Alexandru, Burov, Alexey, Stern, Eric, Amundson, James, and Spentzouris, Panagiotis. 2016. "Parametric Landau damping of space charge modes". United States. doi:. https://www.osti.gov/servlets/purl/1402483.
@article{osti_1402483,
title = {Parametric Landau damping of space charge modes},
author = {Macridin, Alexandru and Burov, Alexey and Stern, Eric and Amundson, James and Spentzouris, Panagiotis},
abstractNote = {Landau damping is the mechanism of plasma and beam stabilization; it arises through energy transfer from collective modes to the incoherent motion of resonant particles. Normally this resonance requires the resonant particle's frequency to match the collective mode frequency. We have identified an important new damping mechanism, parametric Landau damping, which is driven by the modulation of the mode-particle interaction. This opens new possibilities for stability control through manipulation of both particle and mode-particle coupling spectra. We demonstrate the existence of parametric Landau damping in a simulation of transverse coherent modes of bunched accelerator beams with space charge.},
doi = {},
journal = {TBD},
number = ,
volume = ,
place = {United States},
year = 2016,
month = 9
}
  • Transverse dipole modes in bunches with space charge are simulated using the synergia accelerator modeling package and analyzed with dynamic mode decomposition. The properties of the first three space charge modes, including their shape, damping rates, and tune shifts are described over the entire range of space charge strength. As a result, the intrinsic Landau damping predicted and estimated in 2009 by one of the authors is confirmed with a reasonable scaling factor of ≃2.4. For the KV distribution, very good agreement with PATRIC simulations performed by Kornilov and Boine-Frankenheim is obtained.
  • Transverse dipole modes in bunches with space charge are simulated using the synergia accelerator modeling package and analyzed with dynamic mode decomposition. The properties of the first three space charge modes, including their shape, damping rates, and tune shifts are described over the entire range of space charge strength. As a result, the intrinsic Landau damping predicted and estimated in 2009 by one of the authors is confirmed with a reasonable scaling factor of ≃2.4. For the KV distribution, very good agreement with PATRIC simulations performed by Kornilov and Boine-Frankenheim is obtained.
  • The dispersion properties and the first radial-mode Lorentzian Landau damping of a dust acoustic space-charge wave propagating in a cylindrical waveguide dusty plasma which contains nonthermal electrons and ions are investigated by employing the normal mode analysis and the method of separation of variables. It is found that the frequency of dust acoustic space-charge wave increases as the wave number increases as well as the radius of cylindrical plasma does. However, the nonthermal property of the Lorentzian plasma is found to suppress the wave frequency of the dust acoustic space-charge wave. The Landau damping rate of the dust acoustic space-chargemore » wave is derived in a cylindrical waveguide dusty plasma. The damping of the space-charge wave is found to be enhanced as the radius of cylindrical plasma and the nonthermal property increase. The maximum Lorentzian Landau damping rate is also found in a cylindrical waveguide dusty plasma. The variation of the wave frequency and the Landau damping rate due to the nonthermal character and geometric effects are also discussed.« less
  • The inertia and Landau damping of low-frequency magnetohydrodynamical modes are investigated using the drift-kinetic energy principle for the motion along the magnetic field. Toroidal trapping of the ions decreases the Landau damping and increases the inertia for frequencies below ({ital r}/{ital R}){sup 1/2}{ital v}{sub th{ital i}}/{ital qR}. The theory is applied to toroidicity-induced Alfv{acute e}n eigenmodes and to resistive wall modes in rotating plasmas. An explanation of the beta-induced Alfv{acute e}n eigenmode is given in terms of the Pfirsch{endash}Schl{umlt u}ter-like enhancement of inertia at low frequency. The toroidal inertia enhancement also increases the effects of plasma rotation on resistive wallmore » modes. {copyright} {ital 1996 American Institute of Physics.}« less