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Proceedings Paper

Resumming divergent series in nonparaxial optics
Author(s): Riccardo Borghi; Franco Gori; Giorgio Guattari; Massimo Santarsiero
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Paper Abstract

We show that the terms of a Lax series, commonly used to evaluate propagated optical fields in nonparaxial conditions, present a factorially divergent asymptotic behavior in the case of highly nonparaxial beams, under rather general conditions. This allows some resummation algorithms, such as the Weniger transformation, to be used in order for the evaluation of the propagated field to be successfully performed starting from the terms of the divergent Lax series. Examples are presented, concerning cases for which the terms of the Lax series can be evaluated explicitly.

Paper Details

Date Published: 3 November 2011
PDF: 10 pages
Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 80116G (3 November 2011); doi: 10.1117/12.903364
Show Author Affiliations
Riccardo Borghi, Univ. degli Studi di Roma Tre (Italy)
Franco Gori, Univ. degli Studi di Roma Tre (Italy)
Giorgio Guattari, Univ. degli Studi di Roma Tre (Italy)
Massimo Santarsiero, Univ. degli Studi di Roma Tre (Italy)


Published in SPIE Proceedings Vol. 8011:
22nd Congress of the International Commission for Optics: Light for the Development of the World
Ramón Rodríguez-Vera; Ramón Rodríguez-Vera; Ramón Rodríguez-Vera; Rufino Díaz-Uribe; Rufino Díaz-Uribe; Rufino Díaz-Uribe, Editor(s)

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