Low frequency diffraction by a hard strip
Abstract
The problem of solving the reduced wave equation with the normal derivative of the solution given on a strip leads to an integrodifferential equation. In this paper we show how a rigorous solution of this integrodifferential equation can be obtained when the product of strip width and wave number is small. As an application of the method of solution we study the problem of diffraction of a plane wave. We are thus able to verify some earlier results obtained in a formal manner and show that these results do indeed represent the first few terms of a convergent expansion.
 Publication:

SIAM Journal of Applied Mathematics
 Pub Date:
 September 1975
 Bibcode:
 1975SJAM...29..273W
 Keywords:

 Differential Equations;
 Integral Equations;
 Plane Waves;
 Wave Diffraction;
 Wave Equations;
 Boundary Value Problems;
 Convergence;
 Fourier Transformation;
 Topology;
 Communications and Radar