Parameter-dependent statistical properties of the spectra of ray-splitting billiards are studied experimentally and theoretically. The autocorrelation functions $c\left(x\right)\mathrm{}$ and $\mathrm{c̃}(\omega ,x)$ of level velocities as well as the generalized conductance $C\left(0\right)\mathrm{}$ are calculated for two different classically chaotic ray-splitting billiards. Experimentally a modified Sinai ray-splitting billiard is studied consisting of a thin microwave rectangular cavity with two quarter-circle-shaped Teflon inserts. The length of the cavity serves as the experimentally adjustable parameter. For the theoretical estimates of the parametric correlations we compute the quantum spectrum of a scaling triangular ray-splitting billiard. Our experimental and numerical results are compared with each other and with the predictions of random matrix theory.

• Received 24 January 2001

DOI:https://doi.org/10.1103/PhysRevE.64.036211