Surface Integral Equation Method for the Analysis of an Obliquely Stratified Half-Space

The radiation of a source in the presence of an obliquely stratified halfspace is studied using the surface integral equation method (SIEM). A generalized extinction theorem for the obliquely stratified halfspace problem is derived, which gives eight surface integral equations for the fields. The Green's functions for the stratified media are found by a semi-analytical method. Using these surface integral equations, the rather complicated two-dimensional problem can be solved by the one-dimensional finite element method (FEM), which saves computer memory and computation time compared to that for the conventional two-dimensional finite element method. For some special cases, the results obtained by this method are compared with those obtained by the numerical mode matching method and the Fourier integral technique. Excellent agreement has been observed between them. This method is general for any obliquely stratified halfspace with arbitrarily many layers in each region.