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.

© 2006 Chinese Optics Letters

Full-vector mode solver for bending waveguides based on the finite-difference frequency-domain method in cylindrical coordinate systems

Jinbiao Xiao, Hongxing Ni, and Xiaohan Sun
Opt. Lett. 33(16) 1848-1850 (2008)

Adaptive mode solver for varying refractive index profile’s waveguides with modified spectral element method

Jianxin Zhu and Hao Yang
J. Opt. Soc. Am. B 34(3) 538-545 (2017)

Yee-mesh-based finite difference eigenmode solver with PML absorbing boundary conditions for optical waveguides and photonic crystal fibers

Chin-Ping Yu and Hung-Chun Chang
Opt. Express 12(25) 6165-6177 (2004)

Accurate vectorial finite element mode solver for magneto-optic and anisotropic waveguides

Paolo Pintus
Opt. Express 22(13) 15737-15756 (2014)

Vector analysis of bending waveguides by using a modified finite-difference method in a local cylindrical coordinate system

Jinbiao Xiao and Xiaohan Sun
Opt. Express 20(19) 21583-21597 (2012)