Skip to main content
Log in

Reflection of space-time ray amplitudes from moving boundaries

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

One solves the problem of the reflection of space—time ray amplitudes in a three-dimensional nonhomogeneous medium from an arbitrary moving boundary.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. R. M. Lewis, “The progressing wave formalism,” in: Proc. of the Symposium on Quasioptics, New York, 1964, Polytechnic Press, Brooklyn (1964), pp. 71–103.

    Google Scholar 

  2. V. S. Buldyrev and G. N. Maslova, “The reflection of a modulated wave in a moving surface of an arbitrary shape,” in: Waves and Diffraction. Short Abstracts of the Reports of the Thirteenth All-Union Symposium on Diffraction and Wave Propagation, Vol. 3, Moscow (1981), pp. 280–283.

    Google Scholar 

  3. V. N. Krasil'nikov and L. N. Lutchenko, “The principle of the apparent position of the separation boundary and the generalization of V. A. Fock's reflecting formulas to the case of moving surfaces,” in: Problems of Diffraction and Wave Propagation [in Russian], Leningrad State Univ., No. 12, Leningrad (1973), pp. 150–158.

    Google Scholar 

  4. V. M. Babich, V. S. Buldyrev, and I. A. Molotkov, “The perturbation method in the theory of wave propagation,” in: The Theory of Wave Propagation in Nonhomogeneous and Nonlinear Media [in Russian], Izd. IRE, Moscow (1979), pp. 28–143.

    Google Scholar 

  5. M. M. Popov and L. G. Tyurikov, “On two approaches to the computation of the geometric divergence in a nonhomogeneous isotropic medium,” in: Problems of the Dynamical Theory of Seismic Wave Propagation, Vol. XX [in Russian], Leningrad (1981), pp. 61–68.

    Google Scholar 

Download references

Authors

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 128, pp. 72–88, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kirpichnikova, N.Y., Popov, M.M. Reflection of space-time ray amplitudes from moving boundaries. J Math Sci 30, 2410–2420 (1985). https://doi.org/10.1007/BF02107402

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02107402

Keywords

Navigation