# Self-consistent Analysis of Three-dimensional Uniformly Charged Ellipsoid with Zero Emittance

## Abstract

A self-consistent treatment of a three-dimensional ellipsoid with negligible emittance in time-dependent external field is performed. Envelope equations describing the evolution of an ellipsoid boundary are discussed. For a complete model it is required that the initial particle momenta be a linear function of the coordinates. Numerical example and verification of the problem by a 3-dimensional particle-in-cell simulations are given.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)

- Sponsoring Org.:
- USDOE Office of Energy Research (ER) (US)

- OSTI Identifier:
- 784922

- Report Number(s):
- SLAC-PUB-8832

TRN: US0108695

- DOE Contract Number:
- AC03-76SF00515

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 17 May 2001

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; VERIFICATION; THREE-DIMENSIONAL CALCULATIONS; SELF-CONSISTENT FIELD; BOUNDARY CONDITIONS; PARTICLE BEAMS; COMPUTERIZED SIMULATION

### Citation Formats

```
Batygin, Yuri K.
```*Self-consistent Analysis of Three-dimensional Uniformly Charged Ellipsoid with Zero Emittance*. United States: N. p., 2001.
Web. doi:10.2172/784922.

```
Batygin, Yuri K.
```*Self-consistent Analysis of Three-dimensional Uniformly Charged Ellipsoid with Zero Emittance*. United States. doi:10.2172/784922.

```
Batygin, Yuri K. Thu .
"Self-consistent Analysis of Three-dimensional Uniformly Charged Ellipsoid with Zero Emittance". United States.
doi:10.2172/784922. https://www.osti.gov/servlets/purl/784922.
```

```
@article{osti_784922,
```

title = {Self-consistent Analysis of Three-dimensional Uniformly Charged Ellipsoid with Zero Emittance},

author = {Batygin, Yuri K},

abstractNote = {A self-consistent treatment of a three-dimensional ellipsoid with negligible emittance in time-dependent external field is performed. Envelope equations describing the evolution of an ellipsoid boundary are discussed. For a complete model it is required that the initial particle momenta be a linear function of the coordinates. Numerical example and verification of the problem by a 3-dimensional particle-in-cell simulations are given.},

doi = {10.2172/784922},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Thu May 17 00:00:00 EDT 2001},

month = {Thu May 17 00:00:00 EDT 2001}

}

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