Current and Vorticity Auto Correlation Functions in Open Microwave Billiards

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Abstract

Using the equivalence between the quantum-mechanical probability density in a quantum billiard and the Poynting vector in the corresponding microwave system, current distributions were studied in a quantum dot like cavity, as well as in a Robnik billiard with λ = 0.4, and an introduced ferrite cylinder. Spatial auto correlation functions for currents and vorticity were studied and compared with predictions from the random-superposition-of-plane-waves hypothesis. In addition different types of vortex neighbour spacing distributions were determined and compared with theory.

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Kim, Y. H., Barth, M., Kuhl, U., & Stöckmann, H. J. (2003). Current and Vorticity Auto Correlation Functions in Open Microwave Billiards. In Progress of Theoretical Physics Supplement (Vol. 150, pp. 105–114). Yukawa Institute for Theoretical Physics. https://doi.org/10.1143/PTPS.150.105

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