Experimental Identification of Non-Newtonian Orbits Produced by Ray Splitting in a Dielectric-Loaded Microwave Cavity
- 14 April 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 78 (15) , 2940-2943
- https://doi.org/10.1103/physrevlett.78.2940
Abstract
We use a thin dielectric-loaded microwave cavity to identify experimentally the signature of non-Newtonian periodic orbits caused by ray splitting at sharp, dielectric interfaces. In our experiments non-Newtonian orbits manifest themselves as distinctive peaks in the Fourier transform of the frequency spectrum, which cannot be assigned to any Newtonian periodic orbits. Because the electromagnetic Helmholtz and quantal Schrödinger equations are equivalent in two dimensions, our results are directly relevant to quantum chaos studies.Keywords
This publication has 12 references indexed in Scilit:
- Ray Splitting and Quantum ChaosPhysical Review Letters, 1996
- Ray splitting and quantum chaosPhysical Review E, 1996
- Smoothed density of states for problems with ray splittingPhysical Review E, 1996
- Wave Chaos Experiments with and without Time Reversal Symmetry: GUE and GOE StatisticsPhysical Review Letters, 1995
- Microwave Billiards with Broken Time Reversal SymmetryPhysical Review Letters, 1995
- Periodic Orbit Theory of DiffractionPhysical Review Letters, 1994
- Signatures of chaos in quantum billiards: Microwave experimentsPhysical Review E, 1994
- Quantum chaos in systems with ray splittingPhysical Review A, 1992
- ‘‘Quantum’’ chaos in billiards studied by microwave absorptionPhysical Review Letters, 1990
- Chaos in Classical and Quantum MechanicsPublished by Springer Nature ,1990