Optical asymptotics via Weniger transformation
| dc.creator | Borghi, Riccardo | |
| dc.date | 2007-06-25 | |
| dc.date.accessioned | 2026-07-07T08:12:11Z | |
| dc.date.available | 2026-07-07T08:12:11Z | |
| dc.description | Starting from the resurgence equation discovered by Berry and Howls [M. V. Berry and C. Howls "Hyperasymptotics for integrals with saddles," Proc. R. Soc. Lond. A 434, 657-675 (1991)], the Weniger transformation is here proposed as a natural, efficient, and straightforwardly implementable scheme for the efficient asymptotics evaluation of a class of integrals occurring in several areas of physics and, in particular, of optics. Preliminary numerical tests, carried out on the Pearcey function, provide a direct comparison between the performances of Weniger transformation and those of Hyperasymptotics, which seems to corroborate the theoretical predictions. We believe that Weniger transformation would be a very useful computational tool for the asymptotic treatment of several optical problems. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0706.3573 | |
| dc.identifier | http://arxiv.org/abs/0706.3573 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132367 | |
| dc.subject | Optics | |
| dc.subject | Computational Physics | |
| dc.title | Optical asymptotics via Weniger transformation | |
| dc.type | text |