This work is a sequel of the series published in Ann. Physik 4, 283 (1959); 20, 14 (1967); 21, 12 (1968); 25, 375 (1970); 26, 103 (1971); 27, 257 (1971).
Uniform High-Frequency Asymptotics for the Diffraction of Plane Waves by a Slit- Autor(in)
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- Seitenbereich
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0166 - 0190
- Zusammenfsg.
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We consider the diffraction of plane waves by a slit between two semi-infinite halfplanes for arbitrary angles of incidence and D<small>IRICHLET</small> boundary condition (electric field strength parallel to the edges). By a function-theoretic technique, which treats the angles of observation and incidence on an equal footing, we derive a high-frequency asymptotic expansion for the far field amplitude, uniformly valid over the whole range of both angles. Our expansion in terms of products of generalized F<small>RESNEL</small> integrals is compared with the known limiting cases of normal and grazing incidence both analytically and numerically including a comparison with M<small>ATHIEU</small>-series results.
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