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Scattering by a cylinder: A fast exact numerical solution. (English) Zbl 0534.73025

Presented is an exact numerical method of solution, which is in closed form, and requires the computation of only one Hankel function of order unity per spatial datum point for which the fields need to be calculated. The method consists of a closed form numerical deconvolution solution of the scattering integral equation, executed efficiently with the aid of the fast Fourier transform algorithm, thus requiring only \((3/2)N \log_ 2 N\) complex arithmetic multiply-add operations, and the computation of only N Hankel functions of order unity, where N is the number of spatial datum points for which a solution is required. Because of the extreme simplicity of the method of solution, a computer program listing for the algorithm is presented. Numerico-experimental results verifying the speed and accuracy of the method are also presented.

MSC:

74J20 Wave scattering in solid mechanics
74S99 Numerical and other methods in solid mechanics
74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids
65T40 Numerical methods for trigonometric approximation and interpolation
42A15 Trigonometric interpolation
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