Statistical model of short wavelength transport through cavities with coexisting chaotic and regular ray trajectories

Ming-Jer Lee, Thomas M. Antonsen, and Edward Ott
Phys. Rev. E 87, 062906 – Published 13 June 2013

Abstract

We study the statistical properties of the impedance matrix (related to the scattering matrix) describing the input-output properties of waves in cavities in which ray trajectories that are regular and chaotic coexist (i.e., “mixed” systems). The impedance can be written as a summation over eigenmodes where the eigenmodes can typically be classified as either regular or chaotic. By appropriate characterizations of regular and chaotic contributions, we obtain statistical predictions for the impedance. We then test these predictions by comparison with numerical calculations for a specific cavity shape, obtaining good agreement.

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  • Received 16 February 2013

DOI:https://doi.org/10.1103/PhysRevE.87.062906

©2013 American Physical Society

Authors & Affiliations

Ming-Jer Lee*, Thomas M. Antonsen, and Edward Ott

  • University of Maryland, College Park, Maryland 20742, USA

  • *leemj@umd.edu

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Issue

Vol. 87, Iss. 6 — June 2013

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