DOMAIN-INTEGRAL ANALYSIS OF CHANNEL WAVE-GUIDES IN ANISOTROPIC MULTILAYERED MEDIA

A domain-integral equation method is presented to determine both propagation constants and the electromagnetic field distributions of guided surface wave modes in integrated optical waveguides. Both the waveguide and its multi-layered embedding are anisotropic. The permittivity tensor of the embedding is assumed to be piecewise homogeneous. The kernels of the domain-integral equations consist of Green's tensors. The scattering-matrix formalism is used to construct the Green's tensors. The integral equations form an eigenvalue problem, where the electric field strength represents the eigenvector. This problem is solved numerically by applying the method of moments. Numerical results are presented for an anisotropic ridge waveguide, embedded in an anisotropic multi-layered medium.