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Comparison of two leading uniform theories of edge diffraction with the exact uniform asymptotic solution
Author(s) -
Boersma J.,
RahmatSamii Y.
Publication year - 1980
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs015i006p01179
Subject(s) - diffraction , uniform theory of diffraction , asymptotic analysis , mathematics , exact solutions in general relativity , mathematical analysis , enhanced data rates for gsm evolution , plane (geometry) , space (punctuation) , field (mathematics) , asymptotic expansion , shadow (psychology) , physics , geometry , optics , pure mathematics , telecommunications , computer science , psychology , psychotherapist , operating system
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.