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Regensburg 2004 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.41: Poster

Thursday, March 11, 2004, 16:00–18:00, Poster D

TRANSPORT AND DYNAMICAL PROPERTIES OF THE COSINE BILLIARD.THEORY V.S. EXPERIMENT. — •G.A. Luna-Acosta1,2, U. Kuhl1, J.A. Mendez-Bermudez3 und H.-J. Stöckmann11Fachbereich Physik der Philipps Universität Marburg, Renthof 5,D-35032 — 2Instituto de Fisica, BUAP, Puebla, Mexico. — 3Max Planck Institute für Strömungsforschung, Göttingen.

We investigate the properties of waves and particles reflected by and transmitted through 2D chaotic waveguides, using the cosine billiard as a prototype. We calculate the scattering probability matrix elements ∣ Sn,m2, wave functions, and Husimi distributions for a set of geometrical parameters producing weak, mixed, and strong chaotic ray dynamics. Comparison of these quantities with their classical counterparts allows us, on the one hand, to understand important global properties of waveguides in terms of purely classical dynamics and, on the other, to unveil drastic differences between wave and particle behavior. Further, we compare our predictions with experimental results obtained in a microwave realization of the cosine billiard.

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