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
Original Manuscript: January 13, 2011
Revised Manuscript: February 16, 2011
Manuscript Accepted: February 16, 2011
Published: March 11, 2011
Riccardo Borghi, Franco Gori, Giorgio Guattari, and Massimo Santarsiero, "Decoding divergent series in nonparaxial optics," Opt. Lett. 36, 963-965 (2011)