## Summing Pauli asymptotic series to solve the wedge problem

JOSA A, Vol. 25, Issue 1, pp. 211-218 (2008)

http://dx.doi.org/10.1364/JOSAA.25.000211

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### 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.

© 2008 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(260.0260) Physical optics : Physical optics

(260.1960) Physical optics : Diffraction theory

**ToC Category:**

Physical Optics

**History**

Original Manuscript: October 4, 2007

Manuscript Accepted: October 29, 2007

Published: December 20, 2007

**Citation**

Riccardo Borghi, "Summing Pauli asymptotic series to solve the wedge problem," J. Opt. Soc. Am. A **25**, 211-218 (2008)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-1-211

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### References

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