Access to eBooks is limited to institutions that have purchased or currently subscribe to the SPIE eBooks program. eBooks are not available via an individual subscription. SPIE books (print and digital) may be purchased individually on SPIE.Org.

Contact your librarian to recommend SPIE eBooks for your organization.
This appendix presents an abbreviated account of Sommerfeld’s original analyses using multiple-valued solutions of differential equations. Corresponding to the two differential equations under consideration, Sommerfeld used two methods of approach. The first was published in a paper concerning the diffraction of a plane wave by a perfectly conducting half-plane, and the second was published in a paper dealing with the solution of Laplace’s equation defined on spaces bounded by one and two branch lines. Unfortunately, the function derived for two branch lines was not a solution of Laplace’s equation: Sommerfeld was incorrect in his analysis, as shall be shown.
Online access to SPIE eBooks is limited to subscribing institutions.

Back to Top