Neumann boundary value problem for the Helmholtz equation: 2D arbitrary boundary

This thesis is aimed at presenting the mathematically rigorous analytical-numerical method for solving the Neumann boundary-value problem for Helmholtz equation. It is consistently realised that the idea of analytical regularisation of ill-conditioned integral, integral-dierential and series equations of the first kind resulted in the efficient technique and numerical algorithm which allows accurate numerical solution. the presented regularisation technique is successfully used studies of two-dimensional wave scattering by closed and unclosed screens. The thesis concentrates on the screens in the form of infinitely long cylinders with circular and arbitrary cross sections. When the boundary of the cross section is opened (or unclosed) we get a slotted cylinder.