A study of open dielectric waveguide problems using the generalized integral equation method

Summary form only given. A formulation that can be applied to 2-D and 3-D open dielectric waveguide problems was discussed. This method transforms complex problems to simplified equivalent planar ones, which are then solved using known planar integral equation techniques. The electric field in the dielectric waveguide is expressed in terms of a volume polarization dipole moment, from which a planar polarization dipole moment is defined. Generalized boundary conditions on the surface of the dielectric waveguide are enforced to make the introduced planar dipole moment equivalent to the original volume polarization dipole moment. In this manner, a simplified planar integral equation is derived, which is then solved in the spectral domain to provide very satisfactory results. This formulation was applied to a variety of infinite as well as finite dielectric slab waveguides.<>