Skip to main content
Log in

Propagation of waves along a slightly bent piezoelectric rod

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

The waveguide modes of a curved piezoelectric rod are considered. The propagation of waves along the rod is studied by the ray method. The transport equations that describe the change in the intensity along the rays are solved. Bibliography:10 titles.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. M. Babich, “Propagation of waves along an anisotropic elastic layer weakly inhomogeneous in the horizontal direction and slightly bent,”Zap. Nauchn. Semin. POMI,239, 12–32 (1997).

    MathSciNet  Google Scholar 

  2. V. M. Babich and B. A. Chikhachev, “Propagation of Love and Rayleigh waves in a weakly inhomogeneous layered medium,”Vestn. Leningrad State Univ., No. 1, 2–7 (1975).

    Google Scholar 

  3. V. M. Babich, B. A. Chikhachev, and T. B. Yanovskaya, “Surface waves in a vertically inhomogeneous elastic half-space with a weak horizontal nonhomogeneity,”Izv. Akad. Nauk SSSR, Fiz. Zemli,4, 24–31 (1976).

    Google Scholar 

  4. V. M. Babich, V. S. Buldyrev, and L. A. Molotkov,Space-Time Ray Method. Linear and Nonlinear Waves [in Russian], Leningrad (1985).

  5. V. M. Babich and N. S. Grigor'yeva, “Space-Time ray method of calculation of waves in a weakly inhomogeneous layered medium,”Zap. Nauchn. Semin. LOMI,99, 5–18 (1980).

    Google Scholar 

  6. F. P. Bretherton, “Propagation in slowly varying waveguides,”Proc. Roy. Soc., A,302, 555–576 (1968).

    Article  Google Scholar 

  7. J. Tromp and F. A. Dahlen, “Surface wave propagation in a slowly varying anisotropic waveguide,”Geophys. J. Int.,113, 239–249 (1993).

    Article  Google Scholar 

  8. J. Tromp and F. A. Dahlen, “The Berry phase of a slowly varying waveguide,”Proc. R. Soc. Lond., A,437, 329–243 (1992).

    Article  MATH  MathSciNet  Google Scholar 

  9. J. H. Woodhouse, “Surface waves in laterally varying layered structures,”Geophys. J. R. Astr. Soc.,37, 461–490 (1974).

    MATH  Google Scholar 

  10. L. D. Landau and E. M. Lifshits,Electrodynamics of Continuous Media [in Russian], Moscow (1982).

Download references

Authors

Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 191–202.

Translated by V. V. Lukyanov

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lukyanov, V.V. Propagation of waves along a slightly bent piezoelectric rod. J Math Sci 102, 4258–4264 (2000). https://doi.org/10.1007/BF02673856

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02673856

Keywords

Navigation