矢量有限元方法精确计算轴对称 谐振腔高阶模

Accurate Computation on High Order Modes of Axial-symmetric Cavity with Vector Finite Element Method

采用矢量有限元方法计算了任意轴对称谐振腔高阶模的本征频率．这种方法能够将数学模型和物理理论很好地结合起来，避免了一般有限元方法计算谐振腔本征模式中可能出现伪根的问题，并且可以通过采用二阶标量和矢量基函数，在较少的网格数的情况下得到很高的计算精度．基于该方法的程序Ｃａｆｅ为进一步精确研究下一代直线对撞机失谐结构的尾场奠定了基础．

Eigenfrequencies of high order modes in the axial-symmetric cavities are computed with a vector finite element method. Mathematics models and physics theories are combined in a rational way, which avoids the spurious modes caused by ordinary finite element methods. Using quadratic scalar and vector basis functions, high accuracy of results are available with few meshes. A code named Cafe is presented. It provides a good base for further research of wakefields of the detuned structures in next generation linear collider.