Diffraction of Scalar-Impulsive(SH) Waves by a Spherical Cavity Embedded in an Inhomogeneous Medium

  • Aditya Kumar Patnaik
  • S. M. Abo-Dahab
  • Sapan Kumar SamalEmail author
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The solution of displacement field to the problem of diffraction of SH waves generated by an impulsive point source due to a spherical cavity in a non-homogeneous elastic medium, has been obtained in integral forms. The integrals are evaluated asymptotically to obtain short time estimate of the motion near the wave front for large frequency. The displacement of impulsive waves are shown graphically for different values of inhomogeneity factor ‘\(q(0<q<1)\)’ with respect to observational point. It is observed that the displacement of diffracted SH-waves decreases as the arrival time increases for some fixed values of inhomogeneity of the medium. Also for fixed arrival time the displacement decreases as the inhomogeneity increases.


Diffraction SH-impulsive waves Spherical cavity Inhomogeneity 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Aditya Kumar Patnaik
    • 1
  • S. M. Abo-Dahab
    • 2
    • 3
  • Sapan Kumar Samal
    • 1
    Email author
  1. 1.School of Applied Sciences (Mathematics) KIIT, Deemed to be University BhubaneswarOdishaIndia
  2. 2.Department of Mathematics, Faculty of ScienceTaif UniversityTaifSaudi Arabia
  3. 3.Department of Mathematics, Faculty of ScienceSVUQenaEgypt

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