Diffraction by a Dielectric Wedge.
COLORADO UNIV BOULDER DEPT OF ELECTRICAL ENGINEERING
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Three separate investigations were made. The first, based on a spectral decomposition method, was the one on which the contract proposal was originally based. It turned out to have a built-in flaw, which was not discovered, however, until rather late in the analysis. AS a consequence the method was abandoned. Just at that time, attention was drawn to two Soviet papers, both of which claimed to have solved the wedge problem rigorously and completely, though by completely different methods. The first paper, by Zavadskii, was examined and found to be faulty. Efforts made to correct the errors were to no avail. However, a semitrivial result emerged from these studies which, in retrospect, could have been found by elementary methods. The second paper, by Aleksandrova and Khiznyak, also turned out to be faulty, though the complex analysis involved a great deal of study to pin-point exactly where the errors occurred. It was not found possible to solve the problem by their method with the errors corrected. It appears that at the present time there is still no valid and rigorous solution to the wedge problems, though several approximations, particularly Ballings, have appeared in the literature, and should provide useful results in practical applications.
- Electricity and Magnetism