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Diffraction of Creeping Waves by a Line of Jump of Curvature (a Three-Dimensional Acoustic Medium)

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Abstract

The problem of diffraction of creeping waves by a line of jump of curvature in a three-dimensional acoustic medium is studied. Moreover, a sufficiently ``oblique'' incidence is taken into account. Two cases of the curvature jump on the conjunction line of surfaces are considered: (i) the curvature does not change sign, but changes value, (ii) the surface of positive curvature is joined with a half-plane. Bibliography: 4 titles.

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REFERENCES

  1. N. Ya. Kirpichnikova and V. B. Philippov, "Behavior of surface waves upon transition through a junction line on the boundary of an elastic homogeneous isotropic body," Zap. Nauchn. Semin. POMI, 230, 86-102 (1995).

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  2. N. Ya. Kirpichnikova and V. B. Philippov, "Diffraction of whispering gallery waves by a conjunction line," Zap. Nauchn. Semin. POMI, 239, 95-109 (1996).

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  3. N. V. Sivitskaya and V. B. Philippov, "On the propagation of the whispering gallery waves in a medium with a vertical interface," Zap. Nauchn. Semin. LOMI, 179, 147-151 (1989).

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  4. V. M. Babich and V. S. Buldyrev, Asymptotic Methods in the Problem of Diffraction of Short Waves [in Russian], Nauka, Moscow (1972). 702

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Kirpichnikova, N.Y., Philippov, V.B. & Kirpichnikova, A.S. Diffraction of Creeping Waves by a Line of Jump of Curvature (a Three-Dimensional Acoustic Medium). Journal of Mathematical Sciences 108, 689–702 (2002). https://doi.org/10.1023/A:1013247112086

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  • DOI: https://doi.org/10.1023/A:1013247112086

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