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Optical theorem for the scattering of waves in an elastic plate

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Abstract

The scattering of waves in an elastic plate is investigated. A generalization of the optical theorem is found for the case of a noncompact scatterer. The formulas obtained can be used for indirect control of the correctness of computing diffraction fields.

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Literature cited

  1. P. D. Lax and R. S. Phillips, Scattering Theory, Academic Press (1967).

  2. H. Henl, A. Maue, and K. Westphal, The Theory of Diffraction [Russian translation], Moscow (1964).

  3. B. P. Belinskii and D. P. Kouzov, “The optical theorem for a plate – fluid system,” Akust. Zh.,26, No. 1, 13–19 (1980).

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  4. V. V. Krylov, “The optical theorem for the scattering of deformation waves by inhomogeneities of the plane boundary of a solid body,” Akust. Zh.,26, No. 2, 214–217 (1980).

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  5. D. P. Kouzov and V. D. Luk'yanov, “On the energy flux vector for bending vibrations of a plate,” Prikl. Mat. Mekh.,40, No. 6, 1131–1135 (1976).

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 104, pp. 20–23, 1981.

The author is grateful to D. P. Kouzov for his constant attention to the work.

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Belinskii, B.P. Optical theorem for the scattering of waves in an elastic plate. J Math Sci 20, 1758–1760 (1982). https://doi.org/10.1007/BF01119356

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  • DOI: https://doi.org/10.1007/BF01119356

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