Abstract
Numerical realization of the null-field method for solving wave diffraction problems is investigated. It is shown that this method provides correct and stable algorithms only when the null-field surface encloses the set of singularities of the analytic continuation of the wave field inside the scatterer. Considering specific examples of diffraction problems, it is demonstrated that the null-field surface is best constructed by analytic deformation of the scatterer’s boundary.
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Original Russian Text © A.G. Kyurkchan, N.I. Smirnova, 2009, published in Akusticheskiĭ Zhurnal, 2009, Vol. 55, No. 6, pp. 691–697.