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Ray and wave dynamical properties of a spiral-shaped dielectric microcavity

We investigate ray dynamical properties and resonance patterns of a spiral-shaped dielectric microcavity in which quasiscarred resonances can be supported. The ray dynamical properties of this open system can be characterized by the steady probability distribution which contains information of the dynamics and the openness of the chaotic microcavity. It is shown that the quasiscarring phenomenon can be understood by considering the unique properties of wave propagation at the dielectric boundary. The bouncing positions of the quasiscarred resonances are explained through a semiclassical quantization condition with Maslov indices. We also show qualitative agreements between the ray dynamical distributions and the wave dynamical distributions obtained from the average over resonance modes.