用于非规则波导传输特性分析的高效坐标变换法

发布时间：2018-02-08 14:52

本文关键词： 非规则波导坐标变换各向异性媒质等效规则波导　出处：《西安交通大学学报》2014年08期 　论文类型：期刊论文

【摘要】：针对传统数值方法在非规则波导的数值计算中存在边界处理复杂、计算效率低等问题,提出了一种高效分析非规则波导传输特性的坐标变换法。首先根据变换函数,将非规则截面区域映射为一个简单的规则截面区域,为保证变换前后Maxwell方程组满足形式不变性,变换后的规则截面区域需填充适当的各向异性媒质,媒质参数由Jacobian变换矩阵确定,由此将非规则截面波导转化为一个与其等效的规则截面波导;其次借助有限元法对简单的等效规则波导进行求解,可有效降低边界处理算法的复杂度和剖分网格密度,提高数值计算效率。对椭圆波导和矩形脊波导的计算结果表明,使用该方法能够在保证足够计算精度的同时,节省计算资源达50%以上。
[Abstract]:In order to solve the problems of complex boundary processing and low computational efficiency in the numerical calculation of irregular waveguides by traditional numerical methods, a coordinate transformation method is proposed to analyze the transmission characteristics of irregular waveguides. The irregular cross section region is mapped to a simple regular section region. In order to ensure that the Maxwell equations before and after transformation satisfy the form invariance, the transformed regular section region should be filled with appropriate anisotropic medium. The medium parameters are determined by the Jacobian transform matrix, and the irregular cross section waveguide is transformed into an equivalent regular section waveguide, and the simple equivalent regular waveguide is solved by the finite element method. The computational results of elliptical waveguide and rectangular ridge waveguide show that the proposed method can ensure sufficient calculation accuracy while reducing the complexity and mesh density of the boundary processing algorithm. The computational resources are saved by more than 50%.
【作者单位】：西安交通大学电子与信息工程学院;
【基金】：中央高校基本科研业务费专项资金资助项目(XJJ20100054)
【分类号】：TN814

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