Comparison of two leading uniform theories of edge diffraction with the exact uniform asymptotic solution
Article first published online: 7 DEC 2012
Copyright 1980 by the American Geophysical Union.
Volume 15, Issue 6, pages 1179–1194, November-December 1980
How to Cite
1980), Comparison of two leading uniform theories of edge diffraction with the exact uniform asymptotic solution, Radio Sci., 15(6), 1179–1194, doi:10.1029/RS015i006p01179., and (
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 3 JUL 1980
- Manuscript Received: 1 APR 1980
The diffraction of an arbitrary cylindrical wave by a half-plane has been treated by Rahmat-Samii and Mittra who used a spectral domain approach. In this paper, their exact solution for the total field is expressed in terms of a new integral representation. For large wave number k, two rigorous procedures are described for the exact uniform asymptotic expansion of the total field solution. The uniform expansions obtained are valid in the entire space, including transition regions around the shadow boundaries. The final results are compared with the formulations of two leading uniform theories of edge diffraction, namely, the uniform asymptotic theory and the uniform theory of diffraction. Some unique observations and conclusions are made in relating the two theories.