Analysis of elliptical waveguides by a meshless collocation method with the Wendland radial basis functions
Analysis of elliptical waveguides by a meshless collocation method with the Wendland radial basis functions
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DOI：
10.1002/mop.10119
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发表时间：
2002-01
影响因子：
1.5
通讯作者：
P. Jiang;Shu-Qing Li;C. Chan
中科院分区：
文献类型：
--
作者：
P. Jiang;Shu-Qing Li;C. Chan
采用径向基函数无网格配点法计算椭圆波导的截止波长，该方法只需点采样，无需网格离散。利用Wendland径向基函数插值可以得到波导内任意点的场值，该方法在散射数据插值中已被证明是有效的。Hermite插值用于给出一阶导数的更精确的近似。数值算例验证了该方法的准确性和鲁棒性。由于不需要特别考虑轮廓的优点，该方法也可以应用于任意截面的波导。John Wiley & Sons，Inc.微波光学技术快报32：162-165，2002年。
The cutoff wavelengths of elliptical waveguides are calculated by using a meshless collocation method with the radial basis functions, which only needs point sampling, and no mesh discretization is performed. The field value at any point inside the waveguide can be obtained by interpolation using the Wendland radial basis functions, which have been proven effective in scattered data interpolation. The Hermite interpolation is used to give a more accurate approximation of the first‐order derivatives. The accuracy and robustness of the proposed method are validated by numerical examples. Due to the advantage that no special consideration of the contour is needed, the method can also be applied to waveguides with arbitrary cross sections. © 2002 John Wiley & Sons, Inc. Microwave Opt Technol Lett 32: 162–165, 2002.