Density and correlation functions of vortex and saddle points in open billiard systems

R. Hoehmann, U. Kuhl, H. -J. Stoeckmann, J. D. Urbina, M. R. Dennis

Research output: Contribution to journalArticle (Academic Journal)peer-review

18 Citations (Scopus)


We present microwave measurements for the density and spatial correlation of current critical points in an open billiard system and compare them with new and previous predictions of the random-wave model (RWM). In particular, due to an improvement of the experimental setup, we determine experimentally the spatial correlation of saddle points of the current field. An asymptotic expression for the vortex-saddle and saddle-saddle correlation functions based on the RWM is derived, with experiment and theory agreeing well. We also derive an expression for the density of saddle points in the presence of a straight boundary with general mixed boundary conditions in the RWM and compare with experimental measurements of the vortex and saddle density in the vicinity of a straight wall satisfying Dirichlet conditions.

Original languageEnglish
Article number016203
Pages (from-to)-
Number of pages12
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Issue number1
Publication statusPublished - Jan 2009


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