Linear Accelerator Cavity Field Calculation by the Finite Element Method
Linear Accelerator Cavity Field Calculation by the Finite Element Method
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直线加速器腔场有限元法计算
DOI：
10.1109/tns.1973.4327001
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发表时间：
1973
影响因子：
1.8
通讯作者：
A. Konrad
中科院分区：
文献类型：
--
作者：
A. Konrad
直线加速器（直线加速器）腔体的设计需要轴对称电磁谐振腔的场解。从数学上讲，这涉及到在圆柱坐标系中求解单分量矢量亥姆霍兹方程，该方程受电磁场问题的物理特性所决定的边界条件的约束。本文介绍了如何将高次多项式、三角有限元法应用于任意纵截面的直线空腔的现场计算。
The design of linear accelerator (linac) cavities necessitates the field solution of axisymmetric electromagnetic resonators. Mathematically this involves the solution of the one-component vector Helmholtz equation in cylindrical coordinates subject to boundary conditions which are dictated by the physics of the electromagnetic field problem. In this paper it is shown how the high-order polynomial, triangular, finite element method can be applied to field calculation in linac cavities of arbitrary longitud - inal cross section.