Influence of diffraction on the spectrum and wavefunctions of an open system

Details Influence of diffraction on the spectrum and wavefunctions of an open system Influence of diffraction on the spectrum and wavefunctions of an open system

2000-03-10

arxiv.org/abs/nlin/0003023v1

Nonlinear Sciences

Chaotic Dynamics

27 pages, 29 figures, and 3 tables. Submitted to Physical Review E. A copy with higher resolution figures is available at ht

Scientific paper

10.1103/PhysRevE.62.4873

In this paper, we demonstrate the existence and significance of diffractive orbits in an open microwave billiard, both experimentally and theoretically. Orbits that diffract off of a sharp edge of the system are found to have a strong influence on the transmission spectrum of the system, especially in the regime where there are no stable classical orbits. On resonance, the wavefunctions are influenced by both classical and diffractive orbits. Off resonance, the wavefunctions are determined by the constructive interference of multiple transient, nonperiodic orbits. Experimental, numerical, and semiclassical results are presented.

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