The use of the asymptotic treatment for the wedge diffraction problem established long ago by Pauli [Phys. Rev. 54, 924 (1938)] is here revisited and proposed in the character of a powerful computational tool for accurately retrieving the total electromagnetic field even in the near zone. After proving its factorial divergent character, the Pauli series is summed through the Weniger transformation, a nonlinear resummation scheme particularly efficient in the case of factorial divergence. Numerical results are carried out to show the accuracy and effectiveness of the proposed approach.
© 2008 Optical Society of America
Original Manuscript: October 4, 2007
Manuscript Accepted: October 29, 2007
Published: December 20, 2007
Riccardo Borghi, "Summing Pauli asymptotic series to solve the wedge problem," J. Opt. Soc. Am. A 25, 211-218 (2008)