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Scattering of scalar waves by an obstacle: a different approach

Pierre Hillion

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We present a different approach to dealing with integral equations developed to tackle the scattering by obstacles of scalar harmonic waves. The consistency of this approach is made evident by proving that classical results are obtained for the scattering of harmonic plane and spherical waves on perfectly reflecting planes and cylinders. Then, this approach illustrated on the scattering of harmonic waves by obstacles with a surface impedance supplies a Fredholm-like equation whose solution is obtained by using the Rayleigh-Gans iterative process.


PACS

02.30.Rz Integral equations

02.60.Nm Integral and integrodifferential equations

MSC

45B05 Fredholm integral equations

34B27 Green functions

Subjects

Mathematical physics

Computational physics

Dates

Issue 22 (8 June 2001)

Received 8 June 2000, in final form 21 March 2001



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