Analytical and nonlinear perturbative simulation studies of the equilibrium and stability properties of intense charged particle beams for heavy ion fusion

Davidson, Ronald C.; Qin, Hong; Lee, W.Wei-li; Strasburg, Sean

doi:10.1016/s0168-9002(01)00061-4

Cited by 1 publication

(3 citation statements)

References 42 publications

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“…The instability was then linked to the one investigated by Harris [17] for plasmas with anisotropy in velocity distribution. These findings and many related fine papers published afterward [18][19][20][21][22][23][24][25][26][27][28][29] mark success in exploring the intense beam stability. However, to date, the rigorous three-dimensional stability analysis based on the kinetic theory is still left in an incomplete stage and further progress remains to be pursued.…”

Section: Introductionmentioning

confidence: 76%

“…Applying Eqs. (21), (25), (61), and (C18), one can also show that the cold-beam limit for the electric potential inside the beam is given by r / I m kr-another familiar result.…”

Section: B Axially Uniform (K 0) Modesmentioning

confidence: 83%

“…(21) and (25). For a given tune depression, the expansion coefficients A l =A 0 here were computed by using the recursion relation (28) and by substituting the computed mode frequency into Eq.…”

Section: Numerical Resultsmentioning

confidence: 99%

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Three-dimensional stability theory of a continuous beam with axisymmetric Kapchinskij-Vladimirskij distribution

Wang

2004

Phys. Rev. ST Accel. Beams

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This work is a three-dimensional stability study based on the modal analysis for a continuous beam with an axisymmetric Kapchinskij-Vladimirskij (KV) distribution. The analysis is carried out selfconsistently within the context of linearized Vlasov-Maxwell equations and electrostatic approximation. The emphasis is on investigating the coupling between longitudinal and transverse perturbations in the high-intensity region. The interaction between the transverse modes supported by the KV distribution and the ''usual transverse modes'' is examined. We found two classes of ''coupling modes'' that would not exist if longitudinal and transverse perturbations are treated separately. We also found that some transverse modes can interact among themselves through longitudinal perturbation to cause instability. The effects of wall impedance on beam stability is also studied and numerical examples are presented.

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Section: Introductionmentioning

confidence: 76%

“…Applying Eqs. (21), (25), (61), and (C18), one can also show that the cold-beam limit for the electric potential inside the beam is given by r / I m kr-another familiar result.…”

Section: B Axially Uniform (K 0) Modesmentioning

confidence: 83%

See 1 more Smart Citation

Three-dimensional stability theory of a continuous beam with axisymmetric Kapchinskij-Vladimirskij distribution

Wang

2004

Phys. Rev. ST Accel. Beams

View full text Add to dashboard Cite

show abstract

Analytical and nonlinear perturbative simulation studies of the equilibrium and stability properties of intense charged particle beams for heavy ion fusion

Cited by 1 publication

References 42 publications

Three-dimensional stability theory of a continuous beam with axisymmetric Kapchinskij-Vladimirskij distribution

Three-dimensional stability theory of a continuous beam with axisymmetric Kapchinskij-Vladimirskij distribution

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