Theoretical Acoustics and Numerical Techniques

Volume 277 of the series International Centre for Mechanical Sciences pp 291-348

Solution Procedures for Interface Problems in Acoustics and Electromagnetics

  • E. StephanAffiliated withFachbereich Mathematik, Technische Hochschule Darmstadt

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The main aim of this paper is to derive solution procedures for 2 and 3-dimensional interface problems governing the scattering of sound by a homogeneous medium and the scattering of time harmonic electromagnetic fields in air by metallic obstacles. Two ideas are developed. Ths first is a boundary integral procedure for the Helmholtz interface problem and for the eddy current problem (in three dimensions). The second idea is an asymptotic procedure for the scattering of time harmonic electromagnetic fields which applies for large conductivity and reflects the skin effect in metals.