# Fast multipole method using Cartesian tensor in beam dynamic simulation

## Abstract

Here, the fast multipole method (FMM) using traceless totally symmetric Cartesian tensor to calculate the Coulomb interaction between charged particles will be presented. The Cartesian tensor-based FMM can be generalized to treat other non-oscillating interactions with the help of the differential algebra or the truncated power series algebra. Issues on implementation of the FMM in beam dynamic simulations are also discussed.

- Authors:

- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Old Dominion Univ., Norfolk, VA (United States)

- Publication Date:

- Research Org.:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- OSTI Identifier:
- 1435590

- Report Number(s):
- JLAB-ACP-16-2366; DOE/OR/23177-3970

Journal ID: ISSN 0094-243X

- Grant/Contract Number:
- AC05-06OR23177

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1812; Conference: Advanced Accelerator Concepts, National Harbor, MD (United States), 31 Jul - 5 Aug 2016; Journal ID: ISSN 0094-243X

- Publisher:
- American Institute of Physics (AIP)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS

### Citation Formats

```
Zhang, He, Huang, He, Li, Rui, Chen, Jie, and Luo, Li -Shi.
```*Fast multipole method using Cartesian tensor in beam dynamic simulation*. United States: N. p., 2017.
Web. doi:10.1063/1.4975862.

```
Zhang, He, Huang, He, Li, Rui, Chen, Jie, & Luo, Li -Shi.
```*Fast multipole method using Cartesian tensor in beam dynamic simulation*. United States. doi:10.1063/1.4975862.

```
Zhang, He, Huang, He, Li, Rui, Chen, Jie, and Luo, Li -Shi. Mon .
"Fast multipole method using Cartesian tensor in beam dynamic simulation". United States.
doi:10.1063/1.4975862. https://www.osti.gov/servlets/purl/1435590.
```

```
@article{osti_1435590,
```

title = {Fast multipole method using Cartesian tensor in beam dynamic simulation},

author = {Zhang, He and Huang, He and Li, Rui and Chen, Jie and Luo, Li -Shi},

abstractNote = {Here, the fast multipole method (FMM) using traceless totally symmetric Cartesian tensor to calculate the Coulomb interaction between charged particles will be presented. The Cartesian tensor-based FMM can be generalized to treat other non-oscillating interactions with the help of the differential algebra or the truncated power series algebra. Issues on implementation of the FMM in beam dynamic simulations are also discussed.},

doi = {10.1063/1.4975862},

journal = {AIP Conference Proceedings},

number = ,

volume = 1812,

place = {United States},

year = {Mon Mar 06 00:00:00 EST 2017},

month = {Mon Mar 06 00:00:00 EST 2017}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.