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Propagation of sound pulses in a semiinfinite stratified medium

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Abstract

We consider the propagation of sound pulses due to a line source in the inhomogeneous, semi-infinite mediumy ≥ 0 with the boundary conditionφ=0 or∂φ/(∂y)=0 aty=0, whereφ is the acoustic velocity potential. We suppose that the velocity of wave propagation,c, is given byc −2=p −qe −ay, wherep, q, α are real and positive andp>q. The method of dual integral transformation is used. The solution in terms of pulse propagation modes yields the diffracted pulse and the method of steepest descents gives the geometrical acoustic field.

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Authors and Affiliations

  1. Department of Mathematics, Science College, Patna-5

    Surya Kant Mishra

Authors
  1. Surya Kant Mishra
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Additional information

Communicated by Dr. N. S. Nagendra Nath,f.a.sc.

This paper is based on author’s Ph.D. Dissertation (Cambridge, 1961).

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Mishra, S.K. Propagation of sound pulses in a semiinfinite stratified medium. Proc. Indian Acad. Sci. 59, 21–48 (1964). https://doi.org/10.1007/BF03046342

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  • DOI: https://doi.org/10.1007/BF03046342

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