# Fast readout algorithm for cylindrical beam position monitors providing good accuracy for particle bunches with large offsets

## Abstract

Here, a simple, analytically correct algorithm is developed for calculating “pencil” relativistic beam coordinates using the signals from an ideal cylindrical particle beam position monitor (BPM) with four pickup electrodes (PUEs) of infinitesimal widths. The algorithm is then applied to simulations of realistic BPMs with finite width PUEs. Surprisingly small deviations are found. Simple empirically determined correction terms reduce the deviations even further. The algorithm is then tested with simulations for non-relativistic beams. As an example of the data acquisition speed advantage, a FPGA-based BPM readout implementation of the new algorithm has been developed and characterized. Lastly, the algorithm is tested with BPM data from the Cornell Preinjector.

- Authors:

- Brookhaven National Lab. (BNL), Upton, NY (United States). Collider Accelerator Department
- Cornell Univ., Ithaca, NY (United States). CLASSE

- Publication Date:

- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- OSTI Identifier:
- 1431277

- Alternate Identifier(s):
- OSTI ID: 1434557

- Report Number(s):
- BNL-203422-2018-JAAM

Journal ID: ISSN 0034-6748

- Grant/Contract Number:
- SC0012704; AC02-98CH10886

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Review of Scientific Instruments

- Additional Journal Information:
- Journal Volume: 89; Journal Issue: 4; Journal ID: ISSN 0034-6748

- Publisher:
- American Institute of Physics (AIP)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS

### Citation Formats

```
Thieberger, Peter, Gassner, D., Hulsart, R., Michnoff, R., Miller, T., Minty, M., Sorrell, Z., and Bartnik, A.
```*Fast readout algorithm for cylindrical beam position monitors providing good accuracy for particle bunches with large offsets*. United States: N. p., 2018.
Web. doi:10.1063/1.5021607.

```
Thieberger, Peter, Gassner, D., Hulsart, R., Michnoff, R., Miller, T., Minty, M., Sorrell, Z., & Bartnik, A.
```*Fast readout algorithm for cylindrical beam position monitors providing good accuracy for particle bunches with large offsets*. United States. doi:10.1063/1.5021607.

```
Thieberger, Peter, Gassner, D., Hulsart, R., Michnoff, R., Miller, T., Minty, M., Sorrell, Z., and Bartnik, A. Wed .
"Fast readout algorithm for cylindrical beam position monitors providing good accuracy for particle bunches with large offsets". United States.
doi:10.1063/1.5021607.
```

```
@article{osti_1431277,
```

title = {Fast readout algorithm for cylindrical beam position monitors providing good accuracy for particle bunches with large offsets},

author = {Thieberger, Peter and Gassner, D. and Hulsart, R. and Michnoff, R. and Miller, T. and Minty, M. and Sorrell, Z. and Bartnik, A.},

abstractNote = {Here, a simple, analytically correct algorithm is developed for calculating “pencil” relativistic beam coordinates using the signals from an ideal cylindrical particle beam position monitor (BPM) with four pickup electrodes (PUEs) of infinitesimal widths. The algorithm is then applied to simulations of realistic BPMs with finite width PUEs. Surprisingly small deviations are found. Simple empirically determined correction terms reduce the deviations even further. The algorithm is then tested with simulations for non-relativistic beams. As an example of the data acquisition speed advantage, a FPGA-based BPM readout implementation of the new algorithm has been developed and characterized. Lastly, the algorithm is tested with BPM data from the Cornell Preinjector.},

doi = {10.1063/1.5021607},

journal = {Review of Scientific Instruments},

number = 4,

volume = 89,

place = {United States},

year = {Wed Apr 25 00:00:00 EDT 2018},

month = {Wed Apr 25 00:00:00 EDT 2018}

}