Analytical regularization method for E-polarized electromagnetic wave diffraction by arbitrary shaped cylindrical obstacles

An analytical regularization method for solving the two-dimensional problem of E-polarized wave diffraction by arbitrary shaped, smooth and perfectly conductive cylindrical obstacle is implemented. The method equivalently reduces the original diffraction boundary value problem to an algebraic system of the second kind of the form (I+H)x=b, x,b∈l₂, where I and H are correspondingly identical and compact operators in space l₂ of summable sequences. The condition numbers of truncated algebraic systems are uniformly bounded, when the system´s dimension tends to infinity. It guarantees numerical stability of solving process for arbitrary big truncated matrix and enables one to obtain the solution of the original boundary value problem with any required accuracy