High-precision Berenger modes of dual-layer micro-waveguides terminated with a perfectly matched layer for on-chip optical interconnections

In this paper, some high-precision Berenger mode solutions of dual-layer micro-waveguides terminated by a perfectly matched layer are derived. Numerical examples show that these asymptotic solutions are very close to their exact ones. They can act as initial guesses for solving the optical dispersion equation by Newton’s method. This method is useful and simplifies the micro on-chip optical waveguide design.