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Passage of a wave through a thin layer

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Abstract

The problem is considered of the passage of an acoustic wave given by its ray expansion through a thin layer. The method of boundary-layer asymptotic expansions is applied to obtain ray representations of the reflected and transmitted waves (the small parameters are the thickness of the layer and the wave length).

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Literature cited

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    V. M. Babich and A. S. Alekseev, “On an effect of screening of elastic waves by a thin layer,” Uch. Zap. LGU, No. 177/28, 180–193 (1954).

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    I. V. Sukharevskii, “On the passage of an electromagnetic wave through a radio-transparent layer,” Radiotekh. Elektron.,12, No. 2, 208–215 (1967).

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    E. N. Semenyaka, “Asymptotic solution of the problem of diffraction of electromagnetic waves by a weakly curved dielectric layer with thickness much greater than the wave length,” Radiotekh. Elektron.,18, No. 1, 58–68 (1973).

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    A. S. Alekseev and B. G. Mikhailenko, “‘Nonray’ effects in the theory of propagation of seismic waves,” Dokl. Akad. Nauk SSSR,267, No. 5, 1079–1083 (1982).

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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklov AN SSSR, Vol. 173, pp. 20–29, 1988.

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Babich, V.M. Passage of a wave through a thin layer. J Math Sci 55, 1656–1662 (1991). https://doi.org/10.1007/BF01098203

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Keywords

  • Thin Layer
  • Acoustic Wave
  • Asymptotic Expansion
  • Wave Length
  • Small Parameter