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  • Vol. 36, Iss. 6 — Mar. 15, 2011
  • pp: 963–965

Decoding divergent series in nonparaxial optics

Riccardo Borghi, Franco Gori, Giorgio Guattari, and Massimo Santarsiero  »View Author Affiliations


Optics Letters, Vol. 36, Issue 6, pp. 963-965 (2011)
http://dx.doi.org/10.1364/OL.36.000963


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Abstract

A theoretical analysis aimed at investigating the divergent character of perturbative series involved in the study of free-space nonparaxial propagation of vectorial optical beams is proposed. Our analysis predicts a factorial divergence for such series and provides a theoretical framework within which the results of recently published numerical experiments concerning nonparaxial propagation of vectorial Gaussian beams find a meaningful interpretation in terms of the decoding operated on such series by the Weniger transformation.

© 2011 Optical Society of America

OCIS Codes
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: January 13, 2011
Revised Manuscript: February 16, 2011
Manuscript Accepted: February 16, 2011
Published: March 11, 2011

Citation
Riccardo Borghi, Franco Gori, Giorgio Guattari, and Massimo Santarsiero, "Decoding divergent series in nonparaxial optics," Opt. Lett. 36, 963-965 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-6-963


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