The electromagnetic wave diffraction by a partially screened anisotropic dielectric cylinder

A solution method is suggested to the diffraction problem of a homogeneous plane H-polarized wave on a partially screened dielectric anisotropic (hyrotropic) cylinder. In the method, the original boundary value problem in terms of the Maxwell´s equation is equivalently reduced to the system of dual series equations whose singular part is converted using the direct solution of the corresponding Riemann-Hilbert boundary value problem with the specially developed analytical regularization procedure. The result is the second-kind system of linear algebraic equations with Hilbert-Schmidt operators in the l₂-space to be effectively solved with the reduction method