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

Analytical Regularization method (see Ref.[1,2,3]) 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 the algebraic system of the second kind of the form (I+H)x=b, x,bεl₂, where I and H are correspondently identical and compact operators in space l₂ of summable sequences. The condition numbers of truncated algebraic systems are uniformly bounded, when system's dimension tends to infinity. It guaranties numerical stability of solving process for arbitrary big truncated matrix and enables us to obtain the solution of original boundary value problem with any required accuracy.