A drawback of the finite difference (FD) method in solving waveguide eigenmodes exists in the difficulty to accurately describe the field singularities at sharp edges. In this paper, we incorporate the boundary conditions proposed previously into the FD method to solve this problem. An alternative form of the boundary condition at the edge of a wedge with external angle 2/spl pi/ is also derived, which is more flexible for field eigenvalue problems. Numerical results show the validity and accuracy of the proposed treatments. Compared with the traditional treatment, our methods are more accurate and numerically more stable, especially for the computation of field distributions near edges.
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机译：在求解波导特征范围内的有限差分（FD）方法的缺点存在于急需精确描述尖锐边缘处的场奇形。 在本文中，我们将先前提出的边界条件纳入FD方法以解决这个问题。 还导出了具有外部角度2 / SPL PI /楔形边缘的边界条件的边界条件的替代形式，这对于场特征值问题更为灵活。 数值结果显示了拟议治疗的有效性和准确性。 与传统的处理相比，我们的方法更准确，数值更稳定，特别是在边缘附近的场分布计算。
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