Diffraction Theory by Means of Singular Integral Equations. VIIUniform High-Frequency Asymptotics for the Diffraction of Plane Waves by a Slit
✍ Scribed by Dr. E. Lüneburg; Prof. Dr. K. Westpfahl
- Publisher
- John Wiley and Sons
- Year
- 1975
- Tongue
- English
- Weight
- 909 KB
- Volume
- 487
- Category
- Article
- ISSN
- 0003-3804
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✦ Synopsis
Abstract
We consider the diffraction of plane waves by a slit between two semi‐infinite halfplanes for arbitrary angles of incidence and DIRICHLET 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 FRESNEL integrals is compared with the known limiting cases of normal and grazing incidence both analytically and numerically including a comparison with MATHIEU‐series results.