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一种高精度伪谱全矢量泄漏光波导模式求解器,精心实现了UPML吸收边界条件。

A high-accuracy pseudospectral full-vectorial leaky optical waveguide mode solver with carefully implemented UPML absorbing boundary conditions.

作者信息

Chiang Po-jui, Chang Hung-chun

机构信息

Department of Electronic Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan.

出版信息

Opt Express. 2011 Jan 17;19(2):1594-608. doi: 10.1364/OE.19.001594.

Abstract

The previously developed full-vectorial optical waveguide eigenmode solvers using pseudospectral frequency-domain (PSFD) formulations for optical waveguides with arbitrary step-index profile is further implemented with the uniaxial perfectly matched layer (UPML) absorption boundary conditions for treating leaky waveguides and calculating their complex modal effective indices. The role of the UPML reflection coefficient in achieving high-accuracy mode solution results is particularly investigated. A six-air-hole microstructured fiber is analyzed as an example to compare with published high-accuracy multipole method results for both the real and imaginary parts of the effective indices. It is shown that by setting the UPML reflection coefficient values as small as on the order of 10(-40) ∼ 10(-70), relative errors in the calculated complex effective indices can be as small as on the order of 10(-12).

摘要

先前开发的全矢量光波导本征模求解器,采用伪谱频域(PSFD)公式来处理具有任意阶跃折射率分布的光波导,现进一步采用单轴完全匹配层(UPML)吸收边界条件来处理泄漏波导并计算其复模有效折射率。特别研究了UPML反射系数在获得高精度模式解结果中的作用。以一种六气孔微结构光纤为例进行分析,以便与已发表的高精度多极方法在有效折射率实部和虚部的结果进行比较。结果表明,通过将UPML反射系数值设置低至10^(-40) ∼ 10^(-70)量级,计算得到的复有效折射率的相对误差可低至10^(-12)量级。

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