# Tune-stabilized, non-scaling, fixed-field, alternating gradient accelerator

## Abstract

A FFAG is a particle accelerator having turning magnets with a linear field gradient for confinement and a large edge angle to compensate for acceleration. FODO cells contain focus magnets and defocus magnets that are specified by a number of parameters. A set of seven equations, called the FFAG equations relate the parameters to one another. A set of constraints, call the FFAG constraints, constrain the FFAG equations. Selecting a few parameters, such as injection momentum, extraction momentum, and drift distance reduces the number of unknown parameters to seven. Seven equations with seven unknowns can be solved to yield the values for all the parameters and to thereby fully specify a FFAG.

- Inventors:

- Warrenville, IL

- Publication Date:

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

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1015411

- Patent Number(s):
- 7,880,146

- Application Number:
- US Patent Application 7880146

- Assignee:
- Universities Research Association, Inc. (Washington, DC) FNAL

- DOE Contract Number:
- AC02-76CH03000

- Resource Type:
- Patent

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS

### Citation Formats

```
Johnstone, Carol J.
```*Tune-stabilized, non-scaling, fixed-field, alternating gradient accelerator*. United States: N. p., 2011.
Web.

```
Johnstone, Carol J.
```*Tune-stabilized, non-scaling, fixed-field, alternating gradient accelerator*. United States.

```
Johnstone, Carol J. Tue .
"Tune-stabilized, non-scaling, fixed-field, alternating gradient accelerator". United States.
doi:. https://www.osti.gov/servlets/purl/1015411.
```

```
@article{osti_1015411,
```

title = {Tune-stabilized, non-scaling, fixed-field, alternating gradient accelerator},

author = {Johnstone, Carol J},

abstractNote = {A FFAG is a particle accelerator having turning magnets with a linear field gradient for confinement and a large edge angle to compensate for acceleration. FODO cells contain focus magnets and defocus magnets that are specified by a number of parameters. A set of seven equations, called the FFAG equations relate the parameters to one another. A set of constraints, call the FFAG constraints, constrain the FFAG equations. Selecting a few parameters, such as injection momentum, extraction momentum, and drift distance reduces the number of unknown parameters to seven. Seven equations with seven unknowns can be solved to yield the values for all the parameters and to thereby fully specify a FFAG.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Feb 01 00:00:00 EST 2011},

month = {Tue Feb 01 00:00:00 EST 2011}

}

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