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Phys. Rev. Lett. 90, 194102 (2003) [4 pages]

Ray-Splitting Correction to the Weyl Formula: Experiment versus Theory

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Corrie Vaa1, Peter M. Koch1, and Reinhold Blümel2
1Department of Physics and Astronomy, State University of New York, Stony Brook, New York 11794-3800, USA
2Department of Physics, Wesleyan University, Middletown, Connecticut 06459-0155, USA

Received 10 January 2003; published 16 May 2003

An abrupt change in the dielectric constant of media filling a microwave cavity was predicted by Prange et al. [Phys. Rev. E 53, 207 (1996)] to produce a ray splitting correction to the Weyl formula for the mean staircase function of resonances. We present the first experimental confirmation of this effect. Our results with a quasi-two-dimensional cavity are directly relevant to the ray-splitting correction in two-dimensional quantal ray-splitting billiards.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.90.194102
DOI: 10.1103/PhysRevLett.90.194102
PACS: 05.45.Mt, 03.65.Sq, 42.25.Gy

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