Fractal Weyl law for chaotic microcavities: Fresnel’s laws imply multifractal scattering

Jan Wiersig and Jörg Main
Phys. Rev. E 77, 036205 – Published 11 March 2008

Abstract

We demonstrate that the harmonic inversion technique is a powerful tool to analyze the spectral properties of optical microcavities. As an interesting example we study the statistical properties of complex frequencies of the fully chaotic microstadium. We show that the conjectured fractal Weyl law for open chaotic systems [Lu et al., Phys. Rev. Lett. 91, 154101 (2003)] is valid for dielectric microcavities only if the concept of the chaotic repeller is extended to a multifractal by incorporating Fresnel’s laws.

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  • Received 5 September 2007

DOI:https://doi.org/10.1103/PhysRevE.77.036205

©2008 American Physical Society

Authors & Affiliations

Jan Wiersig

  • Institut für Theoretische Physik, Universität Bremen, Postfach 330 440, 28334 Bremen, Germany

Jörg Main

  • Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart, Germany

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Issue

Vol. 77, Iss. 3 — March 2008

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