# SOME THOUGHTS ON STABILITY IN NONLINEAR PERIODIC FOCUSING SYSTEMS.

## Abstract

A brief discussion is given of the long-term stability of particle motions through periodic focusing structures containing lumped nonlinear elements. A method is presented whereby one can specify the nonlinear elements in such a way as to generate a variety of structures in which the motion has long-term stability.

- Authors:

- Publication Date:

- Research Org.:
- California Univ., Berkeley. Lawrence Radiation Lab.

- Sponsoring Org.:
- USDOE; US Atomic Energy Commission (AEC)

- OSTI Identifier:
- 4505965

- Report Number(s):
- UCRL-17795

- NSA Number:
- NSA-22-001532

- DOE Contract Number:
- W-7405-ENG-48

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: UNCL. Orig. Receipt Date: 31-DEC-68

- Country of Publication:
- United States

- Language:
- English

- Subject:
- N34640* -Particle Accelerators-Ion Optics & Field Calculations; CHARGED PARTICLES; FOCUSING; MOTION; STABILITY; CHARGED PARTICLES/motion through periodic focusing structures containing lumped nonlinear elements, long-term stability of

### Citation Formats

```
McMillan, E M.
```*SOME THOUGHTS ON STABILITY IN NONLINEAR PERIODIC FOCUSING SYSTEMS.*. United States: N. p., 1967.
Web. doi:10.2172/4505965.

```
McMillan, E M.
```*SOME THOUGHTS ON STABILITY IN NONLINEAR PERIODIC FOCUSING SYSTEMS.*. United States. https://doi.org/10.2172/4505965

```
McMillan, E M. 1967.
"SOME THOUGHTS ON STABILITY IN NONLINEAR PERIODIC FOCUSING SYSTEMS.". United States. https://doi.org/10.2172/4505965. https://www.osti.gov/servlets/purl/4505965.
```

```
@article{osti_4505965,
```

title = {SOME THOUGHTS ON STABILITY IN NONLINEAR PERIODIC FOCUSING SYSTEMS.},

author = {McMillan, E M},

abstractNote = {A brief discussion is given of the long-term stability of particle motions through periodic focusing structures containing lumped nonlinear elements. A method is presented whereby one can specify the nonlinear elements in such a way as to generate a variety of structures in which the motion has long-term stability.},

doi = {10.2172/4505965},

url = {https://www.osti.gov/biblio/4505965},
journal = {},

number = ,

volume = ,

place = {United States},

year = {1967},

month = {9}

}

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