...
首页> 外文期刊>Journal of Computational Physics >Waveguide mode solver based on Neumann-to-Dirichlet operators and boundary integral equations
【24h】

Waveguide mode solver based on Neumann-to-Dirichlet operators and boundary integral equations

机译:基于Neumann-Dirichlet算子和边界积分方程的波导模式求解器

获取原文
获取原文并翻译 | 示例
           

摘要

For optical waveguides with high index-contrast and sharp corners, existing full-vectorial mode solvers including those based on boundary integral equations typically have only second or third order of accuracy. In this paper, a new full-vectorial waveguide mode solver is developed based on a new formulation of boundary integral equations and the so-called Neumann-to-Dirichlet operators for sub-domains of constant refractive index. The method uses the normal derivatives of the two transverse magnetic field components as the basic unknown functions, and it offers higher order of accuracy where the order depends on a parameter used in a graded mesh for handling the corners. The method relies on a standard Nystr?m method for discretizing integral operators and it does not require analytic properties of the electromagnetic field (which are singular) at the corners.
机译:对于具有高折射率对比和尖角的光波导,现有的全矢量模式求解器,包括基于边界积分方程的全矢量模式求解器,通常仅具有二阶或三阶精度。在本文中,基于边界积分方程的新公式和恒定折射率子域的所谓Neumann-Dirichlet算子,开发了一种新的全矢量波导模式求解器。该方法使用两个横向磁场分量的正态导数作为基本的未知函数,并且该方法提供更高的精度等级,其中该等级取决于用于处理角的渐变网格中使用的参数。该方法依靠用于离散积分算子的标准Nystr?m方法,并且不需要拐角处的电磁场(奇异)的解析属性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号