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Diffraction of a plane wave by a step discontinuity in an impedance plane

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Abstract

In the present paper, the high-frequency diffraction of a plane wave by a right-angle step discontinuity in an impedance plane is analyzed with the help of the uniform geometric theory of diffraction, beginning with the Maluzhenets solution. The principal term of an asymptotic solution of the problem, which is uniform with respect to the angle of incidence of the plane wave and the angle of observation, is derived. The excitation of primary and multiply diffracted fields radiated from the upper edge, as well as surface waves, is considered (the lower edge does not radiate cylindrical or surface waves owing to a right-angle step). For simplicity, the details of computation are given here for a right-angle step discontinuity. A similar procedure is applied to other examples with more complicated geometry. Bibliography: 7 titles.

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References

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Authors
  1. V. V. Zalipaev
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 97–108.

Translated by V. V. Zalipaev.

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Zalipaev, V.V. Diffraction of a plane wave by a step discontinuity in an impedance plane. J Math Sci 102, 4195–4202 (2000). https://doi.org/10.1007/BF02673851

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  • DOI: https://doi.org/10.1007/BF02673851

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