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

Richard W. Ziolkowski

doi:10.1063/1.526999

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

Richard W. Ziolkowski

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	2271-2281
Number of pages	11
Journal	Journal of Mathematical Physics
Volume	27
Issue number	9
DOIs	https://doi.org/10.1063/1.526999
State	Published - Jan 1 1986

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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