Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1996-05-07
Phys. Rev. E 54, 2303 (1996)
Nonlinear Sciences
Chaotic Dynamics
9 pages (RevTex) , 10 figures included, full resolution figures are available upon request from hofferbert@linac.ikp.physik.th
Scientific paper
10.1103/PhysRevE.54.2303
We present first measurements on a superconducting three-dimensional, partly chaotic microwave billiard shaped like a small deformed cup. We analyze the statistical properties of the measured spectrum in terms of several methods originally derived for quantum systems like eigenvalue statistics and periodic orbits and obtain according to a model of Berry and Robnik a mixing parameter of about 25%. In numerical simulations of the classical motion in the cup the degree of chaoticity has been estimated. This leads to an invariant chaotic Liouville measure of about 45%. The difference between this figure and the mixing parameter is due to the limited accuracy of the statistical analysis, caused by both, the fairly small number of 286 resonances and the rather poor desymmetrization of the microwave cavity. Concerning the periodic orbits of the classical system we present a comparison with the length spectrum of the resonator and introduce a new bouncing ball formula for electromagnetic billiards.
Alt Helmut
Graef H.-D.
Hofferbert Ralph
Rangacharyulu Chary
Rehfeld H.
No associations
LandOfFree
Studies of chaotic Dynamics in a Three-Dimensional Superconducting Microwave Billiard does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Studies of chaotic Dynamics in a Three-Dimensional Superconducting Microwave Billiard, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Studies of chaotic Dynamics in a Three-Dimensional Superconducting Microwave Billiard will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-610563