Domain integral equation analysis of scattering in layered dielectric media

The domain integral equation formulation of the Maxwell equations is employed in an analysis of scattering in layered dielectric media. The kernel of the integral equation is calculated in the space-domain with the pole compensated fast Fourier transform applied to the analytical expression that describes the waveguide Green´s function in spatial Fourier space. Galerkin´s method with pulse functions is employed to discretize the problem and form the linear system whose solution gives the total field over the scatter. Asymptotic techniques are then used to obtain the scattering pattern, and the reflection and transmission coefficients for the excited guided modes in the guiding layer. The scattered near-fields can be obtained by using the integral equation for observation points outside of the obstacle.<>