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 |
| State | Published - 1986 |
| Externally published | Yes |
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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 journal › Article
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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
AN - SCOPUS:0010628897
VL - 27
SP - 2271
EP - 2281
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 9
ER -