Stable and accurate method for modal analysis of multilayer waveguides using a graph approach.

@article{Hsueh2007StableAA,
  title={Stable and accurate method for modal analysis of multilayer waveguides using a graph approach.},
  author={Wen-Jeng Hsueh and Jhih-Chang Lin},
  journal={Journal of the Optical Society of America. A, Optics, image science, and vision},
  year={2007},
  volume={24 3},
  pages={825-30}
}
A method for calculating the propagation constants of allowed guided and leaky modes in multilayer planar waveguides is presented. We develop a two-way graph model to describe the tangential fields propagating in the waveguides. According to the special structure of the graph model, it is convenient to employ a topology scheme to derive analytical and closed-form dispersion equations for TE and TM modes. By comparing the dispersion equations formulated by series-expansion methods, approximation… CONTINUE READING