H/sub 1/(curl) tangential vector finite element method for modeling anisotropic optical fibers
H/sub 1/(curl) tangential vector finite element method for modeling anisotropic optical fibers
复制标题
用于建模各向异性光纤的 H/sub 1/(curl) 切向矢量有限元法
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
Jin
中科院分区：
文献类型：
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作者：
S. Polstyanko;Jin
为了对各向异性光纤进行建模，需要准确有效地描述电磁波在这些任意几何结构中的传播。本文给出了同时具有非对角二阶对称张量[/spl epsiv/]和[/spl mu/]的各向异性波导的全波分析。采用H/sub 1/（curl）切向矢量有限元法，得到了无杂模情况下光纤中传播模式的电磁特性。在这个过程中，制定的矢量和标量的潜力，采用和最终矩阵方程的特征值对应的传播常数本身。此外，直接矩阵求解技术与最小程度的重新排序已被结合到修改的Lanczos算法，以有效地解决由此产生的稀疏广义特征矩阵方程。为了证明本方法的强度，数值结果进行了验证，并与其他已发表的结果达成协议。
For the purpose of modeling anisotropic optical fibers, accurate and efficient description of how electromagnetic waves propagate in these structures of arbitrary geometry is required. This paper presents a full-wave analysis of anisotropic waveguides which are characterized simultaneously by both off-diagonal second rank symmetric [/spl epsiv/] and [/spl mu/] tensors. By using the H/sub 1/(curl) tangential vector finite element method, electromagnetic characteristics of propagating modes in the fibers are obtained without the occurrence of spurious modes. In this procedure, a formulation in terms of vector and scalar potentials is adopted and the eigenvalue of the final matrix equation corresponds to the propagation constant itself. Furthermore, the direct matrix solution technique with minimum degree of reordering has been combined with the modified Lanczos algorithm to solve for the resultant sparse generalized eigenmatrix equation efficiently. To demonstrate the strength of the present method, numerical results are verified and agreements with other published results are achieved.