Get 20M+ Full-Text Papers For Less Than $1.50/day. Subscribe now for You or Your Team.

Learn More →

Diffraction of an E -polarized plane wave by an imperfectly conducting wedge

Diffraction of an E -polarized plane wave by an imperfectly conducting wedge <jats:p> A new and exact solution is obtained for the diffraction of an <jats:italic>E</jats:italic> -polarized electromagnetic plane wave by an imperfectly conducting wedge of arbitrary angle. The original boundaryvalue problem is reduced to the solution of an ordinary difference equation. This equation is solved in terms of the double gamma function defined by Barnes (1899). If the wedge angle is equal to <jats:italic>pπ/2q</jats:italic> where <jats:italic>p</jats:italic> and <jats:italic>q</jats:italic> are relatively prime integers, with <jats:italic>p</jats:italic> odd, the difference equation is soluble in a simple closed form. The resulting solution for the field components is then comparatively simple. The present theoretical results show very good agreement with experimental results in the shadow region for normal incidence on a 16° wedge. </jats:p> http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences CrossRef

Diffraction of an E -polarized plane wave by an imperfectly conducting wedge

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences , Volume 252 (1270): 376-393 – Sep 29, 1959

Diffraction of an E -polarized plane wave by an imperfectly conducting wedge


Abstract

<jats:p>
A new and exact solution is obtained for the diffraction of an
<jats:italic>E</jats:italic>
-polarized electromagnetic plane wave by an imperfectly conducting wedge of arbitrary angle. The original boundaryvalue problem is reduced to the solution of an ordinary difference equation. This equation is solved in terms of the double gamma function defined by Barnes (1899). If the wedge angle is equal to
<jats:italic>pπ/2q</jats:italic>
where
<jats:italic>p</jats:italic>
and
<jats:italic>q</jats:italic>
are relatively prime integers, with
<jats:italic>p</jats:italic>
odd, the difference equation is soluble in a simple closed form. The resulting solution for the field components is then comparatively simple. The present theoretical results show very good agreement with experimental results in the shadow region for normal incidence on a 16° wedge.
</jats:p>

Loading next page...
 
/lp/crossref/diffraction-of-an-e-polarized-plane-wave-by-an-imperfectly-conducting-FZgOyrudsp

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
CrossRef
ISSN
0080-4630
DOI
10.1098/rspa.1959.0159
Publisher site
See Article on Publisher Site

Abstract

<jats:p> A new and exact solution is obtained for the diffraction of an <jats:italic>E</jats:italic> -polarized electromagnetic plane wave by an imperfectly conducting wedge of arbitrary angle. The original boundaryvalue problem is reduced to the solution of an ordinary difference equation. This equation is solved in terms of the double gamma function defined by Barnes (1899). If the wedge angle is equal to <jats:italic>pπ/2q</jats:italic> where <jats:italic>p</jats:italic> and <jats:italic>q</jats:italic> are relatively prime integers, with <jats:italic>p</jats:italic> odd, the difference equation is soluble in a simple closed form. The resulting solution for the field components is then comparatively simple. The present theoretical results show very good agreement with experimental results in the shadow region for normal incidence on a 16° wedge. </jats:p>

Journal

Proceedings of the Royal Society of London. Series A. Mathematical and Physical SciencesCrossRef

Published: Sep 29, 1959

There are no references for this article.