Skip to main content
SpringerLink
Log in

General class of scattering for dyadic elastic waves

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

Summary

Scattering amplitudes for a single object in isolation, multiple-scattering amplitudes for a fixed configuration of spherical scatterers, integral equations, energy theorems, and systems of algebraic equations for single- and multiple-scattering coefficients are given for dyadic elastic incident waves with general polarization vector. Monopole-dipole leading-term approximations for the dyadic scattering amplitudes are derived and the case of two spheres is treated.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. W. Thomason andE. P. Krider:J. Atmos. Sci,39, 2051 (1982).

    Article  ADS  Google Scholar 

  2. P. J. Barratt:Proc. Cambridge Philos. Soc,66, 469 (1969).

    Article  ADS  MATH  Google Scholar 

  3. V. Twerski:J. Math. Phys.,8, 589 (1967).

    Article  ADS  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

  7. A. K. Mal andS. K. Bose:Proc. Cambridge Philos. Soc,76, 589 (1974).

    Article  ADS  Google Scholar 

  8. T. H. Tan:Appl. Sci. Res.,31, 364 (1975).

    Google Scholar 

  9. V. D. Kupradze:Progress in Solid Mechanics — III: Dynamical Problems in Elasticity (North-Holland, Amsterdam, 1963).

    Google Scholar 

  10. P. M. Morse andH. Feshbach:Methods of Theoretical Physics (McGraw-Hill Book Co., Inc., New York, N.Y. 1953), p. 1987 and Chapt. 13.

    MATH  Google Scholar 

  11. F. Noether: inTheory of Functions, edited byR. Rother, F. Ollendorf andK. Polhausen (Technology Press, Cambridge, Mass., 1948), p. 167–70.

    Google Scholar 

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

    MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. Y-.H. Pao andC. C. Mow:J. Appl. Phys.,34, 493 (1963).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. N. G. Einspruch andR. Truell:J. Acoust. Soc. Am.,32, 214 (1960).

    Article  MathSciNet  ADS  Google Scholar 

  16. C. F. Ying andR. Truell:J. Appl. Phys.,27, 1086 (1956).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. B. Friedman andJ. Russek:Quart. Appl. Math.,12, 13 (1934).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Chicago State University, 60628, Chicago, IL, USA

    R. Solakiewicz & D. D. Phanord

  2. Department of Mathematical Sciences, University of Alabama in Huntsville, 35899, Huntsville, AL, USA

    R. Solakiewicz & D. D. Phanord

Authors
  1. R. Solakiewicz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. D. Phanord
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Solakiewicz, R., Phanord, D.D. General class of scattering for dyadic elastic waves. Nuov Cim B 108, 631–656 (1993). https://doi.org/10.1007/BF02826998

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02826998

PACS

PACS

PACS

PACS

Search

Navigation