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We present microwave measurements for the density and spatial correlation ofcurrent critical points in an open billiard system, and compare them with thepredictions of the Random Wave Model (RWM). In particular, due to a novelimprovement of the experimental set-up, we determine experimentally the spatialcorrelation of saddle points of the current field. An asymptotic expression forthe vortex-saddle and saddle-saddle correlation functions based on the RWM isderived, with experiment and theory agreeing well. We also derive an expressionfor the density of saddle points in the presence of a straight boundary withgeneral mixed boundary conditions in the RWM, and compare with experimentalmeasurements of the vortex and saddle density in the vicinity of a straightwall satisfying Dirichlet conditions.

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