Diffractive orbits in the length spectrum of a 2D microwave cavity with a small scatterer

Details Diffractive orbits in the length spectrum of a 2D microwave cavity with a small scatterer Diffractive orbits in the length spectrum of a 2D microwave cavity with a small scatterer

2006-02-24

arxiv.org/abs/cond-mat/0602587v2

Physical Review E 74 (01/11/2006) 046219

Physics

Condensed Matter

Other Condensed Matter

14 pages, format IOP

Scientific paper

10.1103/PhysRevE.74.046219

In a 2D rectangular microwave cavity dressed with one point-like scatterer, a semiclassical approach is used to analyze the spectrum in terms of periodic orbits and diffractive orbits. We show, both numerically and experimentally, how the latter can be accounted for in the so-called length spectrum which is retrieved from 2-point correlations of a finite range frequency spectrum. Beyond its fundamental interest, this first experimental evidence of the role played by diffractive orbits in the spectrum of an actual cavity, can be the first step towards a novel technique to detect and track small defects in wave cavities.

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