Analysis of optical waveguides using the two-dimensional integral equations

Integral equations (IE) for optical waveguides (OW) with arbitrary anisotropic inhomogeneous media may be formulated using the principle of secondary fields and two-dimensional Green´s functions. The losses presented are in a good agreement with those obtained using the mode matching. The method is easy modified for discontinuities in OW, for bianisotropic medium, and applied for arbitrary shaped structures. To reduce the number of finite elements and the order of determinant the two-dimensional cubic polynomials approximations may be used