Mixed finite element beam propagation method

Mixed finite element beam propagation method
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混合有限元光束传播法

DOI:
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发表时间:
1998
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影响因子:
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通讯作者:
E. Voge
E. Voge
中科院分区:
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文献类型:
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作者:
D. Schulz;C. Glingener;M. Bludszuweit;E. Voge

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提出了一种用于集成光学器件三维数值模拟的混合有限元光束传播法。通过将Pade逼近应用于有限元算子来允许宽角度传播。混合有限元防止寄生模式和精确的模型波导角允许充分的描述极化效应。此外,有限元矩阵是厄米特导致一个单一的传播计划,如果被金属壁包围的无损波导假设。与有限差分格式相反,能量守恒显式成立。
An efficient mixed finite element (FE) beam propagation method (BPM) for three-dimensional (3-D) simulations is developed for integrated optic devices. Wide angle propagation is allowed by applying Pade approximants to the finite element operator. Mixed finite elements prevent spurious modes and accurately model waveguide corners allowing the adequate description of polarization effects. Furthermore, the finite element matrices are Hermitian leading to a unitary propagation scheme if lossless waveguides surrounded by metallic walls are assumed. In contrast to finite difference schemes energy conservation holds explicitly.