Scattering by a Thin Disk of Large Radius.
MICHIGAN UNIV ANN ARBOR DEPT OF ELECTRICAL AND COMPUTER ENGINEERING
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Experimental measurements of the surface current on an electrically large, perfectly conducting thin disk indicate that under certain conditions creeping waves can exist on the disk surface. Though theoretical verification of this effect is possible for the electromagnetic problem, the solution of a similar scalar problem is expected to exhibit the same type of behavior but be much simpler to treat mathematically. To this end, the surface field on a soft thin disk of large radius due to the presence of a point source far from the disk is found. Since the disk is a complete co-ordinate surface in the oblate spheroidal system where the scalar wave equation is separable, the surface field can be expressed as an infinite sum of Resolvent Greens functions. The series expression for the surface field is evaluated for various angles of incidence, though the results are mathematically simple for only two broadside and edge-on. Modified author abstract
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