Fractional cylindrical functions implementation for electromagnetic waves scattering analysis

An extension of a boundary integral method without using the Green´s function for solving electromagnetic boundary-value problems in layered media is presented. The generalization of the previous applications of that method to the case under consideration is achieved by using fractional cylindrical functions as the testing functions, which account for spatial inhomogeneity of the ambient medium. To illustrate the advantages of such approach, numerical analyses are presented for a 2D scattering problem involving a penetrable cylinder of elliptical cross-section shape.