Skip to main content
Log in

Application of energy theorems to a periodic line of elastic obstacles

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

Energy theorems derived earlier for multiple scattering of elastic waves are applied to a periodic line of equally spaced identical elastic obstacles. Theorems for multiple-multiple-fields interactions and multiple-single-fields interactions are discussed. Monopole and dipole results for the case of identical rigid elastic scatterers are given.

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. D. D. Phanord andN. E. Berger:J. Math. Phys.,31, 2619 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  2. D. D. Phanord andN. E. Berger:J. Math. Phys.,31, 2626 (1990).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. V. Twersky:J. Acoust. Soc. Am.,53, 96 (1973).

    Article  ADS  Google Scholar 

  4. R. J. Blakelsee, H. J. Christian andB. Vonnegut:J. Geophys. Res. D,94, 13, 309, (1989).

    Google Scholar 

  5. R. V. Anderson, J. C. Bailey andH. Tammet:Meteorol. Atmos. Phys.,46, 101 (1991).

    Article  ADS  Google Scholar 

  6. C. F. Bohren andD. R. Huffman:Absorption and Scattering of Light by Small Particles (John Wiley and Sons, New York, N.Y., 1983).

    Google Scholar 

  7. D. D. Phanord:Multiple scattering of elastic waves by a distribution of identical spheres, Ph.D. Thesis, University of Illinois at Chicago (1988).

  8. A. Sommerfeld:Partial Differential Equations in Physics (Academic Press, New York, N.Y., 1949).

    MATH  Google Scholar 

  9. V. Twersky:J. Math. Phys.,3, 83 (1962).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. V. Varatharajulu:J. Math. Phys.,18, 537 (1977).

    Article  ADS  MATH  Google Scholar 

  11. V. Twersky:J. Math. Phys.,8, 589 (1967).

    Article  ADS  Google Scholar 

  12. G. Dassios, K. Kiriaki andD. Polyzos: to be published inQuart. Appl. Math.

  13. G. Dassios andK. Kiriaki:Quart. Appl. Math.,42, 225 (1984).

    MathSciNet  MATH  Google Scholar 

  14. P. M. Morse andH. Feshbach:Methods of Theoretical Physics (McGraw-Hill Book Company, Inc., New York, N.Y., 1953).

    MATH  Google Scholar 

  15. P. J. Barratt andW. D. Collins:Proc. Cambridge Philos. Soc.,61, 969 (1965).

    Article  ADS  Google Scholar 

  16. N. G. Einspruch, E. J. Witterholt andR. Truell:J. Appl. Phys.,31, 806 (1960).

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work supported in part by National Science Foundation Grant DMS-8910394.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Phanord, D.D. Application of energy theorems to a periodic line of elastic obstacles. Nuov Cim B 109, 127–140 (1994). https://doi.org/10.1007/BF02727423

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02727423

PACS 03.80

PACS 03.40.Kg

PACS 11.80.La

PACS 46.20

Navigation