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.