# A fast numerical integrator for relativistic charged particle tracking

## Abstract

In this paper, we report on a fast second-order numerical integrator to solve the Lorentz force equations of a relativistic charged particle in electromagnetic fields. This numerical integrator shows less numerical error than the popular Boris algorithm in tracking the relativistic particle subject to electric and magnetic space-charge fields and requires less number of operations than another recently proposed relativistic integrator.

- Authors:

- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1526495

- Alternate Identifier(s):
- OSTI ID: 1550495

- Grant/Contract Number:
- [AC02-05CH11231]

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment

- Additional Journal Information:
- [ Journal Volume: 867; Journal Issue: C]; Journal ID: ISSN 0168-9002

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY

### Citation Formats

```
Qiang, Ji. A fast numerical integrator for relativistic charged particle tracking. United States: N. p., 2017.
Web. doi:10.1016/j.nima.2017.04.015.
```

```
Qiang, Ji. A fast numerical integrator for relativistic charged particle tracking. United States. doi:10.1016/j.nima.2017.04.015.
```

```
Qiang, Ji. Fri .
"A fast numerical integrator for relativistic charged particle tracking". United States. doi:10.1016/j.nima.2017.04.015. https://www.osti.gov/servlets/purl/1526495.
```

```
@article{osti_1526495,
```

title = {A fast numerical integrator for relativistic charged particle tracking},

author = {Qiang, Ji},

abstractNote = {In this paper, we report on a fast second-order numerical integrator to solve the Lorentz force equations of a relativistic charged particle in electromagnetic fields. This numerical integrator shows less numerical error than the popular Boris algorithm in tracking the relativistic particle subject to electric and magnetic space-charge fields and requires less number of operations than another recently proposed relativistic integrator.},

doi = {10.1016/j.nima.2017.04.015},

journal = {Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment},

number = [C],

volume = [867],

place = {United States},

year = {2017},

month = {9}

}

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Cited by: 2 works

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