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中文摘要：
摘要基于辛几何方法推导了一维离散周期结构、半无穷周期结构和含杂质半无穷周期结构的本征方程，力求建立一个完整的辛分析体系．通过辛分析，将一维离散半无限周期结构转化到一个元胞上求解，大大简化了计算量．对于含杂质半无穷周期结构，结合辛分析和w—w算法，给出求解含杂质半无穷周期结构本征值问题的精确、稳定和高效算法．数值算例说明了本文算法的有效性．
英文摘要：
In this paper,the eigen-equations for one dimensional periodic structure,semi-infinite peri- odic structure and semi-infinite periodic structure with defects are derived based on the symplectic method. The eigen-prohlem for a semi-infinite periodic structure is transformed into an eigen-prohlem for a unit cell. Together the symplectic method with the W-W algorithm,an accurate,stable and efficient method for solving eigen-problem of semi-infinite periodic structure with defects is proposed. Numerical examples are also presented to validate the methods proposed in this paper.
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