Exponentially improved asymptotic expansions for resonances of an ellipticcylinder

Authors
Ancey, S Folacci, A Gabrielli, P
Citation
S. Ancey et al., Exponentially improved asymptotic expansions for resonances of an ellipticcylinder, J PHYS A, 33(16), 2000, pp. 3179-3208
Citations number
33
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
16
Year of publication
2000
Pages
3179 - 3208
Database
ISI
SICI code
0305-4470(20000428)33:16<3179:EIAEFR>2.0.ZU;2-8
Abstract
Scattering by an elliptic cylinder is considered. Asymptotic expansions for Regge poles and resonances are derived from the uniform asymptotic expansi ons of Mathieu functions and modified Mathieu functions constructed by appl ying the Langer-Olver method. In addition, asymptotic expansions for resona nces are exponentially improved by emphasizing the role of the symmetries o f the scatterer. The splitting up of resonances is then explained in terms of the symmetry breaking O(2) --> C-2v.