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基于PML边界的有限差分法及其在光波导泄漏损耗计算中的应用 被引量:13

A Finite Difference Method with a PML Boundary Treatment and Its Application to the Calculation of the Leakage Loss of an Optical Waveguide
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摘要 利用结合完美匹配层 (PML)边界的有限差分法计算了光波导的泄漏损耗 通过采用非均匀格点差分格式和反正切坐标变换的方法 ,有效地减小了计算量并提高了计算精度 分析了PI(polyimide)掩埋型波导和SOI(silicon on insulator)脊型波导两种典型结构的泄漏损耗 ,给出了波导结构尺寸对泄漏损耗的影响 。 A finite difference method with a perfectly-matched layer boundary treatment is applied to calculate the leakage loss of an optical waveguide. To reduce the memory consumption and improve the numerical accuracy, an arc tangent transformation for the horizontal coordinate and a non-uniformity grid are used. As examples, leakage losses of a buried polyimide waveguide and a silicon-on-insulator rib waveguide are analyzed. Physical reasons for the leakage loss and methods to reduce the leakage loss are also given.
出处 《光子学报》 EI CAS CSCD 北大核心 2003年第12期1426-1429,共4页 Acta Photonica Sinica
基金 浙江省科技计划重大项目 (0 0 110 10 2 7)资助
关键词 有限差分法 完美匹配层边界 泄漏损耗 反正切变换 非均匀格点 聚酰亚胺 SOI Finite difference method Perfectly-matched layer (PML) Leakage loss Arc tangent transformation, non-uniformity grid Silicon-on-insulator (SOI) Polyimide
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参考文献4

  • 1Huang W P,Xu C L,Lui W,et al. The perfectly matched layer boundary condition for modal analysis of optical waveguides: leaky mode calculations.IEEE Photonics Technology Letters, 1996,8(5): 652~654 被引量:1
  • 2Petracek J,Singh K. Determination of leaky modes in planar multilayer waveguides.IEEE Photonics Technology Letters, 2002,14(6):812~813 被引量:1
  • 3Rappaport C M. Perfectly matched absorbing boundary conditions based on anisotropic lossy mapping of space.IEEE Microwave Guided Wave Letters, 1995,5(3):90~92 被引量:1
  • 4李立康 ... ..微分方程数值解法[M],1999.

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