### High-frequency electromagnetic scarring in three-dimensional axisymmetric convex cavities

Here, this article examines the localization of high-frequency electromagnetic fields in three-dimensional axisymmetric cavities along periodic paths between opposing sides of the cavity. When these orbits lead to unstable localized modes, they are known as scars. This article treats the case where the opposing sides, or mirrors, are convex. Particular attention is focused on the normalization through the electromagnetic energy theorem. Both projections of the field along the scarred orbit as well as field point statistics are examined. Statistical comparisons are made with a numerical calculation of the scars run with an axisymmetric simulation.

- Publication Date:

- Report Number(s):
- SAND-2015-7197J; SAND-2016-6227J

Journal ID: ISSN 0272-6343; 603251

- Grant/Contract Number:
- AC04-94AL85000

- Type:
- Accepted Manuscript

- Journal Name:
- Electromagnetics

- Additional Journal Information:
- Journal Volume: 36; Journal Issue: 3; Journal ID: ISSN 0272-6343

- Publisher:
- Taylor & Francis

- Research Org:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

- Sponsoring Org:
- USDOE National Nuclear Security Administration (NNSA), Office of Defense Nuclear Security (NA-70)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; bowtie; cavity; field; high-frequency; scar; unstable orbit; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

- OSTI Identifier:
- 1259832

- Alternate Identifier(s):
- OSTI ID: 1262233

```
Warne, Larry K., and Jorgenson, Roy E..
```*High-frequency electromagnetic scarring in three-dimensional axisymmetric convex cavities*. United States: N. p.,
Web. doi:10.1080/02726343.2016.1151187.

```
Warne, Larry K., & Jorgenson, Roy E..
```*High-frequency electromagnetic scarring in three-dimensional axisymmetric convex cavities*. United States. doi:10.1080/02726343.2016.1151187.

```
Warne, Larry K., and Jorgenson, Roy E.. 2016.
"High-frequency electromagnetic scarring in three-dimensional axisymmetric convex cavities". United States.
doi:10.1080/02726343.2016.1151187. https://www.osti.gov/servlets/purl/1259832.
```

```
@article{osti_1259832,
```

title = {High-frequency electromagnetic scarring in three-dimensional axisymmetric convex cavities},

author = {Warne, Larry K. and Jorgenson, Roy E.},

abstractNote = {Here, this article examines the localization of high-frequency electromagnetic fields in three-dimensional axisymmetric cavities along periodic paths between opposing sides of the cavity. When these orbits lead to unstable localized modes, they are known as scars. This article treats the case where the opposing sides, or mirrors, are convex. Particular attention is focused on the normalization through the electromagnetic energy theorem. Both projections of the field along the scarred orbit as well as field point statistics are examined. Statistical comparisons are made with a numerical calculation of the scars run with an axisymmetric simulation.},

doi = {10.1080/02726343.2016.1151187},

journal = {Electromagnetics},

number = 3,

volume = 36,

place = {United States},

year = {2016},

month = {4}

}