A path-integral-Riemann-space approach to the electromagnetic wedge diffraction problem

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11 Scopus citations

Abstract

A path integral constructed over a particular Riemann space is developed and applied to two-dimensional wedge problems. This path-integral-Riemann-space (PIRS) approach recovers the exact solutions of the heat conduction and the corresponding electromagnetic wedge problems. A high-frequency asymptotic evaluation of the PIRS electromagnetic wedge solution returns the standard geometrical theory of diffraction (GTD) results. Ramifications of this approach and its relationships with known path-integral methods are examined.

Original languageEnglish (US)
Pages (from-to)2271-2281
Number of pages11
JournalJournal of Mathematical Physics
Volume27
Issue number9
DOIs
StatePublished - Jan 1 1986

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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