Scattering and mode conversion by a penetrable cylinder in an asymmetric slab waveguide

Discontinuity problems in open dielectric waveguide are essential in the design of various optical and millimetre wave components. The two-dimensional problem of dielectric slab eigenmode scattering from a penetrable body immersed into a stratified medium is solved by the numerical method based on the surface potentials approach. The original scattering problem is formulated in terms of a set of boundary integral equations. The layered geometry of the host medium is taken into account in the kernels of the integral equation by using the Green´s functions of the corresponding boundary problem. The Euler method is used to improve the convergence of Sommerfeld-type integrals that are contained in the expressions for the Green´s functions. Some illustrative numerical results are presented.