Onedimensional kinetic description of nonlinear travelingpulse and travelingwave disturbances in long coasting charged particle beams
This study makes use of a onedimensional kinetic model to investigate the nonlinear longitudinal dynamics of a long coasting beam propagating through a perfectly conducting circular pipe with radius r _{w}. The average axial electric field is expressed as < E _{z} >=(∂/∂z)=e _{b}g _{0}∂λ _{b}/∂ze _{b}g _{2}r ^{2} _{w}∂ ^{3}λ _{b}/∂z ^{3}, where g _{0} and g _{2} are constant geometric factors, λ _{b}(z,t)=∫dp _{z}F _{b}(z,p _{z},t) is the line density of beam particles, and F _{b}(z,p _{z},t) satisfies the 1D Vlasov equation. Detailed nonlinear properties of travelingwave and travelingpulse (soliton) solutions with timestationary waveform are examined for a wide range of system parameters extending from moderateamplitudes to largeamplitude modulations of the beam charge density. Two classes of solutions for the beam distribution function are considered, corresponding to: (i) the nonlinear waterbag distribution, where F _{b}=const in a bounded region of p _{z}space; and (ii) nonlinear BernsteinGreenKruskal (BGK)like solutions, allowing for both trapped and untrapped particle distributions to interact with the selfgenerated electric field < E _{z} >.
 Authors:

^{[1]};
^{[2]}
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Univ. of Science and Technology of China, Anhui (China)
 Publication Date:
 Report Number(s):
 PPPL5136
Journal ID: ISSN 10984402; PRABFM
 Grant/Contract Number:
 AC0209CH11466
 Type:
 Published Article
 Journal Name:
 Physical Review Special Topics. Accelerators and Beams
 Additional Journal Information:
 Journal Volume: 18; Journal Issue: 9; Journal ID: ISSN 10984402
 Publisher:
 American Physical Society (APS)
 Research Org:
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 43 PARTICLE ACCELERATORS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; beams; electron; heavy ion; light ion; REB; nonlinear effects; nonlinear theories; nonneutral plasmas
 OSTI Identifier:
 1233865
 Alternate Identifier(s):
 OSTI ID: 1221815; OSTI ID: 1254755
Davidson, Ronald C., and Qin, Hong. Onedimensional kinetic description of nonlinear travelingpulse and travelingwave disturbances in long coasting charged particle beams. United States: N. p.,
Web. doi:10.1103/PhysRevSTAB.18.094201.
Davidson, Ronald C., & Qin, Hong. Onedimensional kinetic description of nonlinear travelingpulse and travelingwave disturbances in long coasting charged particle beams. United States. doi:10.1103/PhysRevSTAB.18.094201.
Davidson, Ronald C., and Qin, Hong. 2015.
"Onedimensional kinetic description of nonlinear travelingpulse and travelingwave disturbances in long coasting charged particle beams". United States.
doi:10.1103/PhysRevSTAB.18.094201.
@article{osti_1233865,
title = {Onedimensional kinetic description of nonlinear travelingpulse and travelingwave disturbances in long coasting charged particle beams},
author = {Davidson, Ronald C. and Qin, Hong},
abstractNote = {This study makes use of a onedimensional kinetic model to investigate the nonlinear longitudinal dynamics of a long coasting beam propagating through a perfectly conducting circular pipe with radius rw. The average axial electric field is expressed as < Ez >=(∂/∂z)=ebg0∂λb/∂zebg2r2w∂3λb/∂z3, where g0 and g2 are constant geometric factors, λb(z,t)=∫dpzFb(z,pz,t) is the line density of beam particles, and Fb(z,pz,t) satisfies the 1D Vlasov equation. Detailed nonlinear properties of travelingwave and travelingpulse (soliton) solutions with timestationary waveform are examined for a wide range of system parameters extending from moderateamplitudes to largeamplitude modulations of the beam charge density. Two classes of solutions for the beam distribution function are considered, corresponding to: (i) the nonlinear waterbag distribution, where Fb=const in a bounded region of pzspace; and (ii) nonlinear BernsteinGreenKruskal (BGK)like solutions, allowing for both trapped and untrapped particle distributions to interact with the selfgenerated electric field < Ez >.},
doi = {10.1103/PhysRevSTAB.18.094201},
journal = {Physical Review Special Topics. Accelerators and Beams},
number = 9,
volume = 18,
place = {United States},
year = {2015},
month = {9}
}