Modeling of uniaxial anisotropic fibers with noncircular cross-section by the method of lines

Summary form only given. Only in ideal case optical fibers are of circular cross section. Furthermore, sometimes noncircular cross sections are of great interest. Especially elliptical cross sections and cross sections of star form should be mentioned. Therefore, a new algorithm for the analysis of fibers with nearly arbitrarily cross sections will be presented in this contribution. This algorithm is based on the method of lines with discretization lines of various length. Impedance/admittance transformation formulas between the interfaces of the layers are developed. The materials are assumed to be uniaxial anisotropic. The algorithm can also be used for planar optical waveguides with layers of non-constant thicknesses. The proposed algorithm is verified by numerical results.