Experimental versus numerical eigenvalues of a Bunimovich stadium billiard: A comparison

Citation
H. Alt et al., Experimental versus numerical eigenvalues of a Bunimovich stadium billiard: A comparison, PHYS REV E, 60(3), 1999, pp. 2851-2857
Citations number
30
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
3
Year of publication
1999
Pages
2851 - 2857
Database
ISI
SICI code
1063-651X(199909)60:3<2851:EVNEOA>2.0.ZU;2-Y
Abstract
We compare the statistical properties of eigenvalue sequences for a gamma = 1 Bunimovich stadium billiard. The eigenvalues have been obtained in two w ays: one set results from a measurement of the eigenfrequencies of a superc onducting microwave resonator (real system), and the other set is calculate d numerically (ideal System). We show influence of mechanical imperfections of the real system in the analysis of the spectral fluctuations and in the length spectra compared to the exact data of the ideal system. We also dis cuss the influence of a family of marginally stable orbits, the bouncing ba ll orbits, in two microwave stadium billiards with different geometrical di mensions. [S1063-651X(99)12309-2].