Chinese Optics Letters, 2006, 4 (5): 05285, Published Online: Jun. 6, 2006
A quasi-vector finite difference mode solver for optical waveguides with step-index profiles
130.2790 Guided waves 230.7370 Waveguides 130.0130 Integrated optics 000.4430 Numerical approximation and analysis
Abstract
A finite difference scheme based on the polynomial interpolation is constructed to solve the quasi-vector equations for optical waveguides with step-index profiles. The discontinuities of the normal components of the electric field across abrupt dielectric interfaces are taken into account. The numerical results include the polarization effects, but the memory requirement is the same as in solving the scalar wave equation. Moreover, the proposed finite difference scheme can be applied to both uniform and non-uniform mesh grids. The modal propagation constants and field distributions for a buried rectangular waveguide and a rib waveguide are presented. Solutions are compared favorably with those obtained by the numerical approaches published earlier.
Jinbiao Xiao, Mingde Zhang, Xiaohan Sun. A quasi-vector finite difference mode solver for optical waveguides with step-index profiles[J]. Chinese Optics Letters, 2006, 4(5): 05285.