Image-charge effects on the envelope dynamics of an unbunched intense charged-particle beam

Qian, Bao‐Liang; Zhou, Jing; Chen, C.

doi:10.1103/physrevstab.6.014201

Cited by 17 publications

(19 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such envelope models are typically solved with constant rms beam emittances and constant perveance. 5,6 However, above mentioned equations are valid only when the beam contains particles of same species (electron or single ion).…”

Section: Introductionmentioning

confidence: 98%

Envelope equations for cylindrically symmetric space charge dominated multi species beam

2011

View full text Add to dashboard Cite

We have derived differential equations for the beam envelope of a cylindrically symmetric space charge dominated multi-species beam. The major contribution here is the inclusion of the emittance growth of each species of the beam resulting from the nonlinear space charge effect of the other species which arises if the beam radius of that particular species is greater than the other species. In addition, we have also discussed the beam selection using slits and considered only the effective values of the current and emittance of each species after the slit for further transport in case the beam size of any species is larger than the slit size or the finite aperture of the beam pipe. Finally, we have studied the transport of proton from 2.45 GHz microwave ion source in the presence of H þ 2 , H þ 3 species to demonstrate the application of these results. Numerical results are presented for various values of the total beam current and different fractions of p, H þ 2 , and H þ 3 species.

show abstract

Section: Introductionmentioning

confidence: 98%

Envelope equations for cylindrically symmetric space charge dominated multi species beam

2011

View full text Add to dashboard Cite

show abstract

“…In the alternating-gradient focusing system, a matched beam with a small perturbation behaves like a mismatched beam. The beam envelope instability in free space as well as in a cylindrical conducting pipe for on-axis mismatched beam has been investigated by various workers; 18,24 however, the envelope instability due to image charge effect on the off-axis mismatched beam in a quadrupole lattice has not been studied.…”

Section: Analysis Of Envelope Stabilitiesmentioning

confidence: 99%

“…We have followed the method employed in Ref. 24. The initial conditions forr x andr y at s ¼ 0 are chosen asr x ð0Þ 1 r x0 ð1 þ dÞ andr y ð0Þ ¼r y0 ð1 À dÞ, wherer x0 andr y0 are the matched beam envelopes at s ¼ 0.…”

Section: Analysis Of Envelope Stabilitiesmentioning

confidence: 99%

“…23 Recently, Qian et al extended the treatment of Allen and Reiser to include all higher order image charge effects from the cylindrical conducting pipe. 24,25 Their numerical results show that for zero current phase advances less than 90 , the image charge effects are negligibly small on the matched and slightly mismatched beam envelopes. It is also shown that the main unstable regions for the envelope evolution with image charge effect are narrower than its counterpart without image charge effects.…”

Section: Introductionmentioning

confidence: 97%

See 1 more Smart Citation

Effect of image charge on the off-axis transport of intense beams in a small aperture quadrupole lattice

2013

View full text Add to dashboard Cite

This paper investigates the first order image charge effects of circular conducting pipe on an intense off-axis continuous charged particle beam propagating through an alternating-gradient focusing channel. The equations of motion for the centroid and envelopes of slightly off-axis beam are derived and used to determine the equilibrium and stability conditions for the beam transport. The envelope oscillation frequencies of the mismatched beam are obtained by the smooth approximation method and by numerical evaluation of the linearly perturbed envelope equations. Depending on the beam intensity and focusing parameters, it is found that the frequency of the out-of-phase mode of envelope oscillation is reduced due to the presence of the conducting wall. Detailed numerical results for off-axis beam transport in a quadrupole lattice are presented and the stable regimes in the parameter space are determined numerically. It is observed that the unstable region for the envelope evolution with image charge effects depends on beam intensity and external focusing strength and increases with the off centering of the beam. V C 2013 AIP Publishing LLC. [http://dx.

show abstract

“…We start by analyzing the image effects of a cylindrical conducting pipe on a continuous beam of an elliptical form. In contrast to previous studies, which employed multipole expansions, 6,7 we derive an explicit analytical expression for the self-field potential of the beam inside the pipe.…”

Section: Image Effects On the Transport Of Intense Nonaxisymmetric Chmentioning

confidence: 99%

Image effects on the transport of intense nonaxisymmetric charged beams

Pakter

Levin

Rizzato

2007

Applied Physics Letters

View full text Add to dashboard Cite

The effect of conducting pipes on the equilibrium of intense nonaxisymmetric continuous beams of charged particles is investigated. For a cylindrical pipe and an elliptical beam, we obtain an exact closed form analytical expression for the electrostatic potential. Using a variational principle, we then explore the distortions that equilibrium beams suffer due to the conducting channel. Finally, we present an exact proof that despite the nonlinear forces acting on beams of arbitrary cross section inside conducting pipes of arbitrary shape, the density of these beams remains homogeneous and their cross sectional area remains the same as the one in free-space.

show abstract

Image-charge effects on the envelope dynamics of an unbunched intense charged-particle beam

Cited by 17 publications

References 16 publications

Envelope equations for cylindrically symmetric space charge dominated multi species beam

Envelope equations for cylindrically symmetric space charge dominated multi species beam

Effect of image charge on the off-axis transport of intense beams in a small aperture quadrupole lattice

Image effects on the transport of intense nonaxisymmetric charged beams

Contact Info

Product

Resources

About