Effective coupling for open billiards - art. no. 056227

Citation
K. Pichugin et al., Effective coupling for open billiards - art. no. 056227, PHYS REV E, 6405(5), 2001, pp. 6227
Citations number
30
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6405
Issue
5
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200111)6405:5<6227:ECFOB->2.0.ZU;2-E
Abstract
We derive an explicit expression for the coupling constants of individual e igenstates of a closed billiard that is opened by attaching a waveguide. Th e Wigner time delay and the resonance positions resulting from the coupling constants are compared to an exact numerical calculation. Deviations can b e attributed to evanescent modes in the waveguide and to the finite number of eigenstates taken into account. The influence of the shape of the billia rd and of the boundary conditions at the mouth of the waveguide are also di scussed. Finally we show that the mean value of the dimensionless coupling constants tends to the critical value when the eigenstates of the billiard follow random-matrix theory.