用基于磁场的改进型有限差分法分析光波导的全矢量本征模  

Full-vectorial Analysis of Optical Waveguides with an Improved Finite Difference Method Based on H Fields

作　　者：肖金标[1] 刘旭[1] 蔡纯[1] 樊鹤红[1] 孙小菡[1] 

机构地区：[1]东南大学电子工程系光子学与光通信研究室,江苏南京210096

出　　处：《计算物理》2007年第3期313-318,共6页Chinese Journal of Computational Physics

摘　　要：提出一种改进的有限差分法,用以求解全矢量磁场波方程,分析光波导承载的全矢量本征模.离散交叉项时,采用与波导结构无关的六点差分格式,考虑磁场分量的导数在芯包分界处的不连续性,比传统四点差分格式有更高的计算精度.分析阶跃型光纤、矩形和脊形光波导的全矢量本征模问题,给出全矢量基模的磁场分布及其归一化传播常数,揭示全矢量本征模的混合特性,所得结果与解析法、高精度模横向谐振法的结果吻合,验证了方法的收敛性与计算精度.An improved finite difference method in solving vector wave equations based on H fields for full-vectorial analysis of optical waveguides is described. A six-point finite difference scheme of high accuracy is constructed to approximate cross-coupling terms. It takes into account the discontinuities in derivatives of magnetic component at horizontal and vertical interfaces. Moreover, the scheme is independent of structure of waveguide due to explicit expressions. The guided-mode patterns and normalized propagation constants of a step-index fiber, a rectangular wavegnide and a rib waveguide are presented. The hybrid nature of full-vectorial guided-modes is demonstrated. The results agree well with analytical solutions and the benchmark results of modal transverse resonance method. It demonstrates accuracy and convergence of the method.

关 键 词：光波导 全矢量本征模 有限差分 集成光学 

分 类 号：TN256[电子电信—物理电子学]