Scalar Wave Diffraction by a Perfectly Soft Infinitely Thin Circular Ring

Authors : Fatih DİKMEN, Ertuğrul KARAÇUHA

Pages : 199-220

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :A new strong mathematically rigorous and numerically effective method for solving the boundary value problem of scalar insert ignore into journalissuearticles values(for example acoustic); wave diffraction by a perfectly soft insert ignore into journalissuearticles values(Dirichlet boundary condition); infinitely thin circular ring is proposed. The method is based on the combination of the Orthogonal Polynomials Approach, and on the ideas of the methods of analytical regularization. As a result of the suggested regularization procedure, the initial boundary value problem is equivalently reduced to the infinite system of the linear algebraic equations of the second kind, i.e., to an equation of the type insert ignore into journalissuearticles values( insert ignore into journalissuearticles values(I + H); x = b ); in the space of insert ignore into journalissuearticles values( ell2 ); square summable sequences. This equation can be solved numerically by means of the truncation method with, in principle, any required accuracy.
Keywords : Turk J Elec Eng Comp Sci, 9, 2001, 199 220 Turk J Elec Eng Comp Sci, vol 9, iss 2