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Inside-outside duality for planar billiards: A numerical study

Publication date1995
Abstract

This paper reports the results of extensive numerical studies related to spectral properties of the Laplacian and the scattering matrix for planar domains (called billiards). There is a close connection between eigenvalues of the billiard Laplacian and the scattering phases, basically that every energy at which a scattering phase is 2π corresponds to an eigenenergy of the Laplacian. Interesting phenomena appear when the shape of the domain does not allow an extension of the eigenfunction to the exterior. In this paper these phenomena are studied and illustrated from several points of view.

Citation (ISO format)
DIETZ, Barbara et al. Inside-outside duality for planar billiards: A numerical study. In: Physical review. E, Statistical, nonlinear, and soft matter physics, 1995, vol. 51, n° 5, p. 4222–4231. doi: 10.1103/PhysRevE.51.4222
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ISSN of the journal1539-3755
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