Efficient finite element analysis of waveguides with lossy inhomogeneous anisotropic materials characterized by arbitrary permittivity and permeability tensors
Efficient finite element analysis of waveguides with lossy inhomogeneous anisotropic materials characterized by arbitrary permittivity and permeability tensors
复制标题
对具有以任意介电常数和磁导率张量为特征的有损非均匀各向异性材料的波导进行高效有限元分析
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
J. Zapata
中科院分区：
文献类型：
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作者：
L. Valor;J. Zapata
本文提出了一种新的有限元格式，用于求解包含有耗非均匀各向异性介质的任意形状的光波导。材料的特征是同时具有[/SPL EPSi/]和[/SPL Mu/]满张量。还实现了复模计算、杂散模式抑制和将频率指定为输入参数的可能性。该公式将N维二次特征值问题转化为2N维稀疏复矩阵广义特征系统。该特征系统充分利用了矩阵的稀疏性，采用子空间方法进行求解。具有零项的介电常数和磁导率张量允许将N维二次本征值问题进一步化为N维稀疏复广义本征系统。通过对不同有耗、非均匀和各向异性波导的分析，验证了该方法的有效性。结果表明，这与之前公布的数据吻合较好。>；
This paper presents a new finite element formulation for solving arbitrarily shaped waveguides including lossy inhomogeneous anisotropic media. The materials are characterized by simultaneous [/spl epsi/] and [/spl mu/] full tensors. Complex-mode computation, spurious-mode suppression and the possibility of specifying the frequency as an input parameter are also achieved. The formulation leads to a quadratic eigenvalue problem of dimension N which is transformed into an efficient 2N-dimensional generalized eigensystem with sparse complex matrices. This eigensystem is solved by the subspace method, taking full advantage of the sparsity of the matrices. Permittivity and permeability tensors with some null terms allow an additional reduction from the N-dimensional quadratic eigenvalue problem to a N-dimensional sparse complex generalized eigensystem. The proposed method has been validated by analyzing different lossy, inhomogeneous and anisotropic waveguides. Results show good agreement with previously published data. >