Semi-vectorial finite element method for arbitrary step-index optical waveguides

A simple semi-vectorial finite element method using a new formula is presented which treats only a linearly polarised transversal electric field E_t. The electric field should satisfy the conditions that either E_t or n²E_t is continuous, whether E_t is parallel or perpendicular to the refractive index discontinuous interface in an optical waveguide. This allows accurate and efficient analyses of the polarisation dependence of arbitrary step-index optical waveguides