Study of Microwave Element and Accelerating StructureUsing Finite Element Method

WANG Lan-FA; ZHANG Chuang

Chinese Physics C> 2001, Vol. 25> Issue(12) : 1219-1224

Study of Microwave Element and Accelerating StructureUsing Finite Element Method

WANG Lan-FA ^, ,
ZHANG Chuang

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

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Abstract：
An analysis of the electromagnetic field in 2D uniform and axis-symmetric structures based on FEM (Finite Element Method) is presented in this paper. The equation of FEM is derived based on the Maxwell equations and variational theory. The resulting tridiagonal matrix in FEM equation is optimized to reduce band-width of the matrix and the calculation time. Subspace method is applied to solve the eigenvalue equation where the matrices are sparse and make the solver run faster. The number of eigenvalue and eigenvector can be selected by the user which makes the solver-more efficient. Irregular triangle element is used for meshing to describe the structure geometry with good approximation and improve the accuracy of the solution. Numerical results for rectangle waveguide, pill-box cavity and disc-loaded structure show that our finite element method has high accuracy, good convergence and fast running speed. Comparing with SUPERFISH program, the FEM method is advantageous in both accuracy and speed. The accuracy of our FEM is almost the same as the variational method which is used as a basic method in many fields. All strategy used here can be applied to the 3-dimension structure and other eigenvalue problems.

References

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. LI Z ,Mccandless B ,MI W et al.Advanced Modeling of RF Cavities and Components for e+e-Colliders,In:KEK Proceedings 98–10,1998,623—625 2. ZHAN X .Parallel Computation of Transverse Wakes in Linear Colliders,SLAC PUB 7410,1996 3. The MAFIA Collaboration.MAFIA the ECAD System4. Menzel M T ,Stokes H K .LA-UR-87-115,1987 5. Weiland T .Nucl.Instrm.Methods,1983,216:329—3486. YE XuanHua,ZHOU WenZhen,SHEN ShuangLin et al.Analysis of Dimension and RF Quantities in Disc Structure by Variational Method.In:Institute of Science and Techno logy Informationin Chinaed.Particle Accelerator and it’s Application.Chongqing:Science and Technology Press,1980.48(in Chinese)(叶宣化,周文振,沈双林等.用变分法计算电子直线加速器的盘荷波导尺寸及物理量.见:中国科学技术情报所重庆分所编辑.粒子加速器及其应用.重庆:科学技术文献出版社分社,1980.48) 7. WANG LanFa,LIN YuZheng.High Energy Phys.and Nucl.Phys.,2000,24(6):567—572(in Chinese)(王兰法,林郁正.高能物理与核物理,2000,24(6):567—572)

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WANG Lan-FA and ZHANG Chuang. Study of Microwave Element and Accelerating StructureUsing Finite Element Method[J]. Chinese Physics C, 2001, 25(12): 1219-1224.

WANG Lan-FA and ZHANG Chuang. Study of Microwave Element and Accelerating StructureUsing Finite Element Method[J]. Chinese Physics C, 2001, 25(12): 1219-1224. shu

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Received: 2000-12-19
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Study of Microwave Element and Accelerating StructureUsing Finite Element Method

WANG Lan-FA ^,
ZHANG Chuang

Corresponding author: WANG Lan-FA,

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

Received Date: 2000-12-19
Accepted Date: 1900-01-01
Available Online: 2001-12-05

Abstract: An analysis of the electromagnetic field in 2D uniform and axis-symmetric structures based on FEM (Finite Element Method) is presented in this paper. The equation of FEM is derived based on the Maxwell equations and variational theory. The resulting tridiagonal matrix in FEM equation is optimized to reduce band-width of the matrix and the calculation time. Subspace method is applied to solve the eigenvalue equation where the matrices are sparse and make the solver run faster. The number of eigenvalue and eigenvector can be selected by the user which makes the solver-more efficient. Irregular triangle element is used for meshing to describe the structure geometry with good approximation and improve the accuracy of the solution. Numerical results for rectangle waveguide, pill-box cavity and disc-loaded structure show that our finite element method has high accuracy, good convergence and fast running speed. Comparing with SUPERFISH program, the FEM method is advantageous in both accuracy and speed. The accuracy of our FEM is almost the same as the variational method which is used as a basic method in many fields. All strategy used here can be applied to the 3-dimension structure and other eigenvalue problems.