Relation between Field Energy and RMS Emittance in Intense Particle Beams

Wangler, T.P.; Crandall, K.R.; Mills, R.S.; Reiser, M.

doi:10.1109/tns.1985.4333859

Cited by 108 publications

(61 citation statements)

References 4 publications

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“…Writing this equation for all three spatial degrees of freedom, the electric field terms together form the physical quantity of "free field energy," i.e., the difference of the actual field energy W and the field energy W u of the equivalent uniform charge density [3,27,28],…”

Section: Emittance Growth Associated With L Irmentioning

confidence: 99%

“…As the first example, we cite the pioneering work of Kapchinskij and Vladimirskij [1] covering the description of beam transport under space charge conditions. As a second example, we may quote the well-understood transient effects that occur if a beam is launched with a non-self-consistent phase space density profile [2][3][4]. Furthermore, the various kinds of parametric resonances and instabilities that may occur in the course of beam propagation through focusing lattices and storage rings have been successfully tackled on the basis of a perturbation analysis of the Vlasov equation [5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

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Stochastic effects in real and simulated charged particle beams

Struckmeier¹

2000

Phys. Rev. ST Accel. Beams

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The Vlasov equation embodies the smooth field approximation of the self-consistent equation of motion for charged particle beams. This framework is fundamentally altered if we include the fluctuating forces that originate from the actual charge granularity. We thereby perform the transition from a reversible description to a statistical mechanics description covering also the irreversible aspects of beam dynamics. Taking into account contributions from fluctuating forces is mandatory if we want to describe effects such as intrabeam scattering or temperature balancing within beams. Furthermore, the appearance of "discreteness errors" in computer simulations of beams can be modeled as "exact" beam dynamics that are being modified by fluctuating "error forces." It will be shown that the related emittance increase depends on two distinct quantities: the magnitude of the fluctuating forces embodied in a friction coefficient, g, and the correlation time dependent average temperature anisotropy. These analytical results are verified by various computer simulations.

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Section: Emittance Growth Associated With L Irmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stochastic effects in real and simulated charged particle beams

Struckmeier¹

2000

Phys. Rev. ST Accel. Beams

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show abstract

“…The available electrostatic energy has two sources: the free self-field energy, and the free interaction energy between the beam particles and the focusing field. As previously shown by simulations [6] and analytically [1], the self-field energy is released rapidly in one-quarter of a plasma period. The present report treats the much slower process in which interaction energy from beam displacement is converted into rms emittance growth.…”

Section: Introductionmentioning

confidence: 59%

Emittance growth rates for displaced beams

Anderson

1993

Nuov Cim A

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“…For emittance growth calculations, it is convenient to replace Uf with the normalized free energy Un, which is obtained by dividing Uf by the self-field energy within a uniform beam having the same rms radius [7]. That is, Un = 4Uf (47tq,/A2).…”

Section: Il Merging Identicalbeamletsmentioning

confidence: 99%

“…We can approximate the emittance growth E w i t h a result [7] derived for axisymmetric beams. The beamlets will not overlap if 0 < q-, < 4/2.…”

mentioning

confidence: 99%