Time Harmonic Two-Dimensional Cavity Scar Statistics: Convex Mirrors and Bowtie
Abstract
Here, this article examines the localization of time harmonic high-frequency modal fields in two-dimensional cavities along periodic paths between opposing sides of the cavity. The cases where these orbits lead to unstable localized modes are known as scars. This article examines the enhancements for these unstable orbits when the opposing mirrors are convex, constructing the high-frequency field in the scar region using elliptic cylinder coordinates in combination with a random reflection phase from the outer chaotic region. Finally, the enhancements when the cavity is symmetric as well as asymmetric about the orbit are examined.
- Authors:
-
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Electromagnetic Effects Department
- Eureka Aerospace, Pasadena, CA (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1426928
- Report Number(s):
- SAND-2009-5926J
Journal ID: ISSN 0272-6343; 563587
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Electromagnetics
- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 2; Journal ID: ISSN 0272-6343
- Publisher:
- Taylor & Francis
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; scar; cavity; time harmonic; bowtie; convex mirror; electromagnetic; microwave; chaos; ray optics
Citation Formats
Warne, Larry Kevin, Jorgenson, Roy Eberhardt, Kotulski, Joseph Daniel, and Lee, Kelvin S. H. Time Harmonic Two-Dimensional Cavity Scar Statistics: Convex Mirrors and Bowtie. United States: N. p., 2011.
Web. doi:10.1080/02726343.2011.548191.
Warne, Larry Kevin, Jorgenson, Roy Eberhardt, Kotulski, Joseph Daniel, & Lee, Kelvin S. H. Time Harmonic Two-Dimensional Cavity Scar Statistics: Convex Mirrors and Bowtie. United States. https://doi.org/10.1080/02726343.2011.548191
Warne, Larry Kevin, Jorgenson, Roy Eberhardt, Kotulski, Joseph Daniel, and Lee, Kelvin S. H. Thu .
"Time Harmonic Two-Dimensional Cavity Scar Statistics: Convex Mirrors and Bowtie". United States. https://doi.org/10.1080/02726343.2011.548191. https://www.osti.gov/servlets/purl/1426928.
@article{osti_1426928,
title = {Time Harmonic Two-Dimensional Cavity Scar Statistics: Convex Mirrors and Bowtie},
author = {Warne, Larry Kevin and Jorgenson, Roy Eberhardt and Kotulski, Joseph Daniel and Lee, Kelvin S. H.},
abstractNote = {Here, this article examines the localization of time harmonic high-frequency modal fields in two-dimensional cavities along periodic paths between opposing sides of the cavity. The cases where these orbits lead to unstable localized modes are known as scars. This article examines the enhancements for these unstable orbits when the opposing mirrors are convex, constructing the high-frequency field in the scar region using elliptic cylinder coordinates in combination with a random reflection phase from the outer chaotic region. Finally, the enhancements when the cavity is symmetric as well as asymmetric about the orbit are examined.},
doi = {10.1080/02726343.2011.548191},
journal = {Electromagnetics},
number = 2,
volume = 31,
place = {United States},
year = {Thu Feb 10 00:00:00 EST 2011},
month = {Thu Feb 10 00:00:00 EST 2011}
}
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