# Phase-space moment-equation model of highly relativistic electron-beams in plasma-wakefield accelerators

## Abstract

We formulate a new procedure for modelling the transverse dynamics of relativistic electron beams with significant energy spread when injected into plasma-based accelerators operated in the blow-out regime. Quantities of physical interest, such as the emittance, are furnished directly from solution of phase space moment equations formed from the relativistic Vlasov equation. The moment equations are closed by an Ansatz, and solved analytically for prescribed wakefields. The accuracy of the analytic formulas is established by benchmarking against the results of a semi-analytic/numerical procedure which is described within the scope of this work, and results from a simulation with the 3D quasi-static PIC code HiPACE.

- Authors:

- College of Science, Technology and Engineering, James Cook University, Townsville 4811 (Australia)
- Deutsches Elektronen-Synchrotron DESY, 22607 Hamburg (Germany)

- Publication Date:

- OSTI Identifier:
- 22451169

- Resource Type:
- Journal Article

- Journal Name:
- Annals of Physics

- Additional Journal Information:
- Journal Volume: 356; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOLTZMANN-VLASOV EQUATION; ELECTRON BEAMS; PHASE SPACE; SIMULATION; THREE-DIMENSIONAL CALCULATIONS; WAKEFIELD ACCELERATORS

### Citation Formats

```
Robson, R.E., E-mail: robert.robson@jcu.edu.au, Mehrling, T., and Osterhoff, J.
```*Phase-space moment-equation model of highly relativistic electron-beams in plasma-wakefield accelerators*. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2015.03.004.

```
Robson, R.E., E-mail: robert.robson@jcu.edu.au, Mehrling, T., & Osterhoff, J.
```*Phase-space moment-equation model of highly relativistic electron-beams in plasma-wakefield accelerators*. United States. doi:10.1016/J.AOP.2015.03.004.

```
Robson, R.E., E-mail: robert.robson@jcu.edu.au, Mehrling, T., and Osterhoff, J. Fri .
"Phase-space moment-equation model of highly relativistic electron-beams in plasma-wakefield accelerators". United States. doi:10.1016/J.AOP.2015.03.004.
```

```
@article{osti_22451169,
```

title = {Phase-space moment-equation model of highly relativistic electron-beams in plasma-wakefield accelerators},

author = {Robson, R.E., E-mail: robert.robson@jcu.edu.au and Mehrling, T. and Osterhoff, J.},

abstractNote = {We formulate a new procedure for modelling the transverse dynamics of relativistic electron beams with significant energy spread when injected into plasma-based accelerators operated in the blow-out regime. Quantities of physical interest, such as the emittance, are furnished directly from solution of phase space moment equations formed from the relativistic Vlasov equation. The moment equations are closed by an Ansatz, and solved analytically for prescribed wakefields. The accuracy of the analytic formulas is established by benchmarking against the results of a semi-analytic/numerical procedure which is described within the scope of this work, and results from a simulation with the 3D quasi-static PIC code HiPACE.},

doi = {10.1016/J.AOP.2015.03.004},

journal = {Annals of Physics},

issn = {0003-4916},

number = ,

volume = 356,

place = {United States},

year = {2015},

month = {5}

}

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