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

Research output: Contribution to journalArticle

11 Citations (Scopus)

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
StatePublished - 1986
Externally publishedYes

Fingerprint

Riemann manifold
Approach Space
Curvilinear integral
Wedge
Heat conduction
wedges
Diffraction
electromagnetism
diffraction
geometrical theory of diffraction
Integral Method
Ramification
Heat Conduction
conductive heat transfer
Exact Solution
evaluation
Evaluation

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

A path-integral-Riemann-space approach to the electromagnetic wedge diffraction problem. / Ziolkowski, Richard W.

In: Journal of Mathematical Physics, Vol. 27, No. 9, 1986, p. 2271-2281.

Research output: Contribution to journalArticle

@article{93fd2ea09c9740d9a3e14618857d6b8f,
title = "A path-integral-Riemann-space approach to the electromagnetic wedge diffraction problem",
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.",
author = "Ziolkowski, {Richard W}",
year = "1986",
language = "English (US)",
volume = "27",
pages = "2271--2281",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "9",

}

TY - JOUR

T1 - A path-integral-Riemann-space approach to the electromagnetic wedge diffraction problem

AU - Ziolkowski, Richard W

PY - 1986

Y1 - 1986

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0010628897&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0010628897&partnerID=8YFLogxK

M3 - Article

VL - 27

SP - 2271

EP - 2281

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 9

ER -