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Title: Time Harmonic Two-Dimensional Cavity Scar Statistics: Convex Mirrors and Bowtie

Journal Article · · Electromagnetics
 [1];  [1];  [1];  [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Electromagnetic Effects Department
  2. Eureka Aerospace, Pasadena, CA (United States)
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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.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1426928
Report Number(s):
SAND-2009-5926J; 563587
Journal Information:
Electromagnetics, Vol. 31, Issue 2; ISSN 0272-6343
Publisher:
Taylor & FrancisCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

References (21)

Scar intensity statistics in the position representation journal December 2005
Linear and Nonlinear Theory of Eigenfunction Scars journal April 1998
‘‘Quantum’’ chaos in billiards studied by microwave absorption journal May 1990
Two dimensional unstable scar statistics. report December 2006
Semiclassical theory of short periodic orbits in quantum chaos journal June 2000
Asymptotic-boundary-layer method for unstable trajectories: Semiclassical expansions for individual scar wave functions journal November 2009
Trends and bounds in RF coupling to a wire inside a slotted cavity journal January 1992
Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits journal October 1984
Statistical properties of linear antenna impedance in an electrically large cavity journal May 2003
Universal statistics of the scattering coefficient of chaotic microwave cavities journal May 2005
Scars in quantum chaotic wavefunctions journal January 1999
Microwave Studies of Billiard Green Functions and Propagators journal July 1995
Statistics of Impedance and Scattering Matrices in Chaotic Microwave Cavities: Single Channel Case journal January 2006
Linear dipole response in a reverberation chamber journal January 1999
Some remarks on antenna response in a reverberation chamber journal May 2001
Scarred and Chaotic Field Distributions in a Three-Dimensional Sinai-Microwave Resonator journal February 1998
Wave Function Intensity Statistics from Unstable Periodic Orbits journal March 1998
Semiclassical construction of resonances with hyperbolic structure: the scar function journal May 2001
Statistics of Impedance and Scattering Matrices of Chaotic Microwave Cavities with Multiple Ports journal January 2006
Wave chaos in the stadium: Statistical properties of short-wave solutions of the Helmholtz equation journal April 1988
Statistics of wave-function scars journal January 1995

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
scar
cavity
time harmonic
bowtie
convex mirror
electromagnetic
microwave
chaos
ray optics