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- W2075813157 abstract "The Sommerfeld integral enabled one to solve various diffraction problems in angle-shaped domains. The basic goal of the present paper is to demonstrate a generalized form of the famous Sommerfeld integral. The kernel of the traditional Sommerfeld integral is replaced by the solution of a scattering problem. The latter hint leads to the possibility of representing solutions for a more general class of diffraction problems in an angle-shaped domain with the radial perturbation of the boundary or (and) with the presence of a radially symmetric refraction index in the stationary wave (Helmholtz) equation. The approach is demonstrated in the simplest situation of diffraction in an angle-shaped domain with the centrally circular (with respect to the angle vertex) perturbation of the perfectly conducting boundary." @default.
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- W2075813157 date "2005-10-12" @default.
- W2075813157 modified "2023-09-23" @default.
- W2075813157 title "Generalized Sommerfeld integral and diffraction in an angle-shaped domain with a radial perturbation" @default.
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- W2075813157 doi "https://doi.org/10.1088/0305-4470/38/43/l02" @default.
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