Microwave studies of open systems with complex dynamics

• Applicant: Professor Dr. Ulrich Kuhl
• Subject Area: Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
• Term: from 2007 to 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 24367642

For quasi-two dimensional microwave resonators, with top and bottom plate parallel to each other, there is a one-to-one correspondence between the stationary Schrödinger equation and the Helmholtz equation, as long as a maximum frequency is not surpassed. This allows to check predictions from quantum-mechanical scattering theory by means of open microwave resonators with a number of attached open channels, either antennas or wave guides. The complete scattering matrix is available experimentally which is hardly possible by any other technique. In particular we plan (i) to investigate the formation of rogue waves in disordered two-dimensional systems, (ii) to look for deflooding in an open mushroom billiard, (iii) to study non-linearities in Floquet systems, (iv) to investigate Goos-Hänchen shift and Fresnel filtering in Teflon disks, (v) to look for skipping orbits in a quasi-one-dimensional system with an inserted Teflon stripe, (vi) to study metamaterials in disordered one-dimensional waveguides, (vii) to look for classical decay features of the fidelity, (viii) to test random matrix predictions on correlations of cross-sections, (ix) to investigate the transport properties of graphene-like structures, and (x) to study resonance widths in systems with a fractal classical repeller.

• DFG Programme: Research Units
• Subproject of: FOR 760: Scattering Systems with Complex Dynamics
• Major Instrumentation: 4 port vector network analyzer with calibration kit
• Instrumentation Group: 2720 Impedanz- und Dämpfungsmeßgeräte, Frequenzgangmeßgeräte, Netzwerkanalysatoren
• Participating Person: Professor Dr. Hans-Jürgen Stöckmann