# Adaptive matching of the iota ring linear optics for space charge compensation

## Abstract

Many present and future accelerators must operate with high intensity beams when distortions induced by space charge forces are among major limiting factors. Betatron tune depression of above approximately 0.1 per cell leads to significant distortions of linear optics. Many aspects of machine operation depend on proper relations between lattice functions and phase advances, and can be i proved with proper treatment of space charge effects. We implement an adaptive algorithm for linear lattice re matching with full account of space charge in the linear approximation for the case of Fermilab’s IOTA ring. The method is based on a search for initial second moments that give closed solution and, at the same predefined set of goals for emittances, beta functions, dispersions and phase advances at and between points of interest. Iterative singular value decomposition based technique is used to search for optimum by varying wide array of model parameters

- Authors:

- Fermilab
- RadiaSoft, Boulder

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1375721

- Report Number(s):
- FERMILAB-CONF-16-707-AD-APC

1617723

- DOE Contract Number:
- AC02-07CH11359

- Resource Type:
- Conference

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS

### Citation Formats

```
Romanov, A., Bruhwiler, D. L., Cook, N., and Hall, C.
```*Adaptive matching of the iota ring linear optics for space charge compensation*. United States: N. p., 2016.
Web.

```
Romanov, A., Bruhwiler, D. L., Cook, N., & Hall, C.
```*Adaptive matching of the iota ring linear optics for space charge compensation*. United States.

```
Romanov, A., Bruhwiler, D. L., Cook, N., and Hall, C. Sun .
"Adaptive matching of the iota ring linear optics for space charge compensation". United States. https://www.osti.gov/servlets/purl/1375721.
```

```
@article{osti_1375721,
```

title = {Adaptive matching of the iota ring linear optics for space charge compensation},

author = {Romanov, A. and Bruhwiler, D. L. and Cook, N. and Hall, C.},

abstractNote = {Many present and future accelerators must operate with high intensity beams when distortions induced by space charge forces are among major limiting factors. Betatron tune depression of above approximately 0.1 per cell leads to significant distortions of linear optics. Many aspects of machine operation depend on proper relations between lattice functions and phase advances, and can be i proved with proper treatment of space charge effects. We implement an adaptive algorithm for linear lattice re matching with full account of space charge in the linear approximation for the case of Fermilab’s IOTA ring. The method is based on a search for initial second moments that give closed solution and, at the same predefined set of goals for emittances, beta functions, dispersions and phase advances at and between points of interest. Iterative singular value decomposition based technique is used to search for optimum by varying wide array of model parameters},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2016},

month = {10}

}