中国物理B ›› 2006, Vol. 15 ›› Issue (1): 143-148.doi: 10.1088/1009-1963/15/1/023

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Full-vectorial analysis of optical waveguides by the finite difference method based on polynomial interpolation

肖金标, 张明德, 孙小菡   

  1. Laboratory of Photonics and Optical Communications, Electronic Engineering Department,Southeast University, Nanjing 210096, China
  • 收稿日期:2005-04-13 修回日期:2005-07-18 出版日期:2006-01-20 发布日期:2006-01-20

Full-vectorial analysis of optical waveguides by the finite difference method based on polynomial interpolation

Xiao Jin-Biao (肖金标), Zhang Ming-De (张明德), Sun Xiao-Han (孙小菡)   

  1. Laboratory of Photonics and Optical Communications, Electronic Engineering Department,Southeast University, Nanjing 210096, China
  • Received:2005-04-13 Revised:2005-07-18 Online:2006-01-20 Published:2006-01-20

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摘要： Based on the polynomial interpolation, a new finite difference (FD) method in solving the full-vectorial guided-modes for step-index optical waveguides is proposed. The discontinuities of the normal components of the electric field across abrupt dielectric interfaces are considered in the absence of the limitations of scalar and semivectorial approximation, and the present FD scheme can be applied to both uniform and non-uniform mesh grids. The modal propagation constants and field distributions for buried rectangular waveguides and optical rib waveguides are presented. The hybrid nature of the vectorial modes is demonstrated and the singular behaviours of the minor field components in the corners are observed. Moreover, solutions are in good agreement with those published early, which tests the validity of the present approach.

Abstract: Based on the polynomial interpolation, a new finite difference (FD) method in solving the full-vectorial guided-modes for step-index optical waveguides is proposed. The discontinuities of the normal components of the electric field across abrupt dielectric interfaces are considered in the absence of the limitations of scalar and semivectorial approximation, and the present FD scheme can be applied to both uniform and non-uniform mesh grids. The modal propagation constants and field distributions for buried rectangular waveguides and optical rib waveguides are presented. The hybrid nature of the vectorial modes is demonstrated and the singular behaviours of the minor field components in the corners are observed. Moreover, solutions are in good agreement with those published early, which tests the validity of the present approach.

Key words: polynomial interpolation, finite difference, full vectorial mode solver, optical waveguides, photonic integrated circuits

中图分类号:  (Optical waveguides and couplers)

  • 42.79.Gn
42.15.Eq (Optical system design) 02.60.Ed (Interpolation; curve fitting) 02.70.Bf (Finite-difference methods)