Abstract
The method of extended boundary conditions is modified on the basis of the well-known null-field relationship and applied for solution of problems of diffraction by bodies with an analytic boundary. It is shown that the null-field condition is correctly formulated when it is imposed on a surface enclosing the set of the singularities of the analytically extended diffraction field. In addition, it is demonstrated that the best (in terms of the highest accuracy of computations) method of constructing the aforementioned surface involves analytic deformation of a scatterer’s boundary. The simulation results illustrate the efficiency of the proposed approach.
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