Summing Pauli asymptotic series to solve the wedge problem

Abstract

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.