Abstract
In this paper we present an overview of the spectral domain approach for solving a variety of high frequency diffraction problems. We demonstrate via a number of examples that the fields derived from the use of the Spectral Theory of Diffraction (STD) remain uniformly valid for all observation angles, including the shadow boundary, the reflection boundary and the caustic direction where the conventional Geometrical Theory of Diffraction (GTD) breaks down.
Furthermore, we show how the accuracy of STD can be improved and its range extended by combining it with integral equation methods in the spectral domain.
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This work was supported in part by U.S. Army Research Grant DAHC04-74-G0113 and in part by Office of Naval Research Grant N00014-75-C-0293.