S Ancey et al 2000 J. Phys. A: Math. Gen. 33 3179 doi:10.1088/0305-4470/33/16/310
Exponentially improved asymptotic expansions for resonances of an elliptic cylinder
S Ancey, A Folacci and P Gabrielli
Show affiliations Scattering by an elliptic cylinder is considered. Asymptotic expansions for Regge poles and resonances are derived from the uniform asymptotic expansions of Mathieu functions and modified Mathieu functions constructed by applying the Langer-Olver method. In addition, asymptotic expansions for resonances are exponentially improved by emphasizing the role of the symmetries of the scatterer. The splitting up of resonances is then explained in terms of the symmetry breaking O(2)
2v.
- PACS
- MSC
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35B40 Asymptotic behavior of solutions
33E10 Lamé, Mathieu, and spheroidal wave functions
81Q20 Semiclassical techniques including WKB and Maslov methods
- Subjects
- Dates
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Issue 16 (28 April 2000)
Received 9 September 1999, in final form 18 January 2000
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Exponentially improved asymptotic expansions for resonances of an elliptic cylinder
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