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Scattering of Love waves due to the presence of a rigid barrier of finite depth in the crustal layer of the earth

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Abstract

The problem of scattering of Love waves due to the presence of a rigid barrier of finite depth in the crusfal layer of the earth is studied in the present paper. The barrier is in the slightly dissipative surface layer and the surface of the layer is a free surface. The Wiener-Hopf technique is the method of solution. Evaluation of the integrals along appropriate contours in the complex plane yields the reflected, transmitted and the scattered waves. The scattered waves behave as a decaying cylindrical wave at distant points. Numrical computations for the amplitude of the scattered waves have been made versus the wave number. The amplitude falls off rapidly as the wave number increases very slowly.

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References

  1. Asghar S and Zaman F D,Bull. Seis. Soc. Am. 70 (1988) 241–257

    Google Scholar 

  2. Deshwal P S,Proc. Indian Natn. Sci. Acad. A50 (1984) 608–620

    Google Scholar 

  3. Deshwal P S,Geophys. Trans. 33 (1988) 175–185

    Google Scholar 

  4. Deshwal P S,Acta Geophysica Polonica 39 (1991)

  5. Ewing W M, Jardetsky W S and Press F,Elastic waves in a layered media (McGraw Hill Book Co.) (1957)

  6. Jones D S,Q. J. Math. (2)3 (1952) 189–196

    Article  MATH  Google Scholar 

  7. Kazi M H,Geophys. J. R. Astron. Soc. 52 (1978) 25–44

    MATH  Google Scholar 

  8. Noble B,Methods Based on the Wiener-Hopf Technique (Pergamon Press) (1958)

  9. Sato R,J. Phys. Earth 9 (1961) 19–36

    Google Scholar 

  10. Xiao-Ping Li,Wave motion 22 (1995) 349–370

    Article  MATH  MathSciNet  Google Scholar 

  11. Zaman F D, Asghar S and Khalid Hanif,Punjab Univ. J. Math. 24 (1991) 1–10

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Maharshi Dayanand University, 124001, Rohtak, India

    P S Deshwal & S Mudgal

Authors
  1. P S Deshwal
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  2. S Mudgal
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Deshwal, P.S., Mudgal, S. Scattering of Love waves due to the presence of a rigid barrier of finite depth in the crustal layer of the earth. Proc. Indian Acad. Sci. (Math. Sci.) 108, 81–94 (1998). https://doi.org/10.1007/BF03161315

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  • DOI: https://doi.org/10.1007/BF03161315

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