2006
DOI: 10.1063/1.2358970
|View full text |Cite
|
Sign up to set email alerts
|

Correction to the Alfvén-Lawson criterion for relativistic electron beams

Abstract: The Alfvén-Lawson criterion for relativistic electron beams is revised. The parameter range is found, in which a stationary beam can carry arbitrarily large current, regardless of its transverse structure.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
3
0

Year Published

2009
2009
2024
2024

Publication Types

Select...
7
1

Relationship

1
7

Authors

Journals

citations
Cited by 12 publications
(3 citation statements)
references
References 40 publications
0
3
0
Order By: Relevance
“…3d) confirms that the electron trajectories are flat. It must be pointed out that the current limit for a beam of relativistic electrons is γJ A [60,61], where γ is the relativistic factor associated with the directed motion. In our simulation, there are electrons with γ > 100 needed to satisfy the criterion J 0 < γJ A [45].…”
mentioning
confidence: 99%
“…3d) confirms that the electron trajectories are flat. It must be pointed out that the current limit for a beam of relativistic electrons is γJ A [60,61], where γ is the relativistic factor associated with the directed motion. In our simulation, there are electrons with γ > 100 needed to satisfy the criterion J 0 < γJ A [45].…”
mentioning
confidence: 99%
“…The beam current reaches I 134 kA by assuming the pulse length of the electron beam is the same as that of the laser pulse. This is a large fraction of the Alfven current limit [39,40], which in this case is I A = 1.65 × 17[kA] γ 2 − 1 = 262 kA, where γ = 9.4 for the average energy of 5.3 MeV, as shown in Fig. 4c.…”
Section: Resultsmentioning
confidence: 76%
“…In the extended phase space, where (t, −H) serves as another canonical pair and the independent variable is the proper time τ , the equivalent Hamiltonian reads [17]…”
Section: Basic Equationsmentioning
confidence: 99%