A SCATTERING PROBLEM IN A NONHOMOGENEOUS MEDIUM

  • Anar, I.Ethem (Department of Mathematics, Faculity of Arts and Sciences, Gazi University)
  • Published : 1997.08.01

Abstract

In this article, a scattering problem in a nonhomogeneous medium is formulated as an integral equation which contains boundary and volume integrals. The integral equation is solved for sufficiently small $$\mid$$\mid$1-p$\mid$$\mid$,$\mid$$\mid${k_i}^2-k^2$\mid$$\mid$\;and\;$\mid$$\mid${\nabla}p$\mid$$\mid$$ where $k,\;k_i$ and p the wave numbers and the density respectively.

Keywords

References

  1. Arch. Rational Mech. Anal. v.52 The exterior Neumann problem for the Helmholtz equation Ahner J. F.;R. E. Kleinman
  2. Bull. of the Inst. of Math. Academia Sinica v.22 A Scattering Problem in $R^n$ Anar I. E.;A. O. Celebi
  3. Integral Equation Methods in Scattering Theory Colton D.;R. Kress
  4. Proc. of the Royal Socity of Edinburgh v.75A no.8 Constructive methods for solving the exterior Neumann problem for the reduced wave equation in a spherically symmetric medium Colton D;Wendland Wendland W
  5. Q. J. mech. Appl.Math. v.27 Integral Equations for the exterior acoustic problem Jones D. S.
  6. Special Functions and Their Applications Lebedev. N. N.
  7. Mathematical Physics, an Advanced Course Mikhlin S. G.
  8. Proc. Cambridge Philos. Soc. v.74 On the exterior problems of acoustics Ursell F
  9. Q. J. Mech. Appl.Math. v.41 A uniqueness theorem for the reduced wave equation governing the acoustic wave in a heterogeneous medium Wall D. J. N.
  10. Arch Rational Mech. Anal. v.6 Zur mathematischen Theorie akustischer Wellenfelder Werner P
  11. Arch. Rational Mech. Anal. v.12 Beugungsprobleme der mathematischen akustik Werner P