# Use of projectional phase space data to infer a 4D particle distribution

## Abstract

We consider beams which are described by a 4D transverse distribution f(x,y,x{prime},y{prime}), where x{prime} {triple_bond} p{sub x}/p{sub z} and z is the axial coordinate. A two-slit scanner is commonly employed to measure, over a sequence of shots, a 2D projection of such a beam's phase space, e.g., f(x,x{prime}). Another scanner might yield f(y,y{prime}) or, using crossed slits, f(x,y). A small set of such 2D scans does not uniquely specify f(x,y,x{prime},y{prime}). We have developed ''tomographic'' techniques to synthesize a ''reasonable'' set of particles in a 4D phase space having 2D densities consistent with the experimental data. These techniques are described in a separate document [A. Friedman, et. al., submitted to Phys. Rev. ST-AB, 2002]. Here we briefly summarize one method and describe progress in validating it, using simulations of the High Current Experiment at Lawrence Berkeley National Laboratory.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Sponsoring Org.:
- USDOE Director, Office of Science. Office of Fusion Energy Sciences (US)

- OSTI Identifier:
- 799663

- Report Number(s):
- LBNL-51211; UCRL-JC-148436

R&D Project: Z46010; B& R AT5015031; TRN: US0206131

- DOE Contract Number:
- AC03-76SF00098

- Resource Type:
- Conference

- Resource Relation:
- Conference: 14th International Symposium on Heavy Ion Inertial Fusion, Moscow (RU), 05/21/2002--05/31/2002; Other Information: PBD: 20 May 2002

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 74 ATOMIC AND MOLECULAR PHYSICS; DISTRIBUTION; HEAVY IONS; PHASE SPACE

### Citation Formats

```
Friedman, A., Grote, D.P., Celata, C.M., and Staples, J.W.
```*Use of projectional phase space data to infer a 4D particle distribution*. United States: N. p., 2002.
Web.

```
Friedman, A., Grote, D.P., Celata, C.M., & Staples, J.W.
```*Use of projectional phase space data to infer a 4D particle distribution*. United States.

```
Friedman, A., Grote, D.P., Celata, C.M., and Staples, J.W. Mon .
"Use of projectional phase space data to infer a 4D particle distribution". United States. https://www.osti.gov/servlets/purl/799663.
```

```
@article{osti_799663,
```

title = {Use of projectional phase space data to infer a 4D particle distribution},

author = {Friedman, A. and Grote, D.P. and Celata, C.M. and Staples, J.W.},

abstractNote = {We consider beams which are described by a 4D transverse distribution f(x,y,x{prime},y{prime}), where x{prime} {triple_bond} p{sub x}/p{sub z} and z is the axial coordinate. A two-slit scanner is commonly employed to measure, over a sequence of shots, a 2D projection of such a beam's phase space, e.g., f(x,x{prime}). Another scanner might yield f(y,y{prime}) or, using crossed slits, f(x,y). A small set of such 2D scans does not uniquely specify f(x,y,x{prime},y{prime}). We have developed ''tomographic'' techniques to synthesize a ''reasonable'' set of particles in a 4D phase space having 2D densities consistent with the experimental data. These techniques are described in a separate document [A. Friedman, et. al., submitted to Phys. Rev. ST-AB, 2002]. Here we briefly summarize one method and describe progress in validating it, using simulations of the High Current Experiment at Lawrence Berkeley National Laboratory.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2002},

month = {5}

}