Title :
A 2D field solver for periodic structures with special corner elements
Author_Institution :
SLAC, Stanford, CA, USA
Abstract :
A two-dimensional (2D) finite element field solver has been written which allows quasi-periodic boundary conditions, making it ideal for calculating traveling waves in periodic structures. Special elements are used at corners for improved accuracy. Comparisons with URMEL, URMEL-T, SUPERFISH, and analytic solutions are made, showing that this code yields better eigenvalues than the URMELs despite the use of a coarser mesh. The 2D solver is capable of finding transverse electric (TE) and transverse magnetic (TM) modes in axisymmetric structures. The structures can include symmetry and periodic boundaries. The algebraic eigenvalue solver uses the inverse power method with an eigenvalue shift, which yields the mode with eigenvalue closest to a specified target eigenvalue.<>
Keywords :
eigenvalues and eigenfunctions; electron accelerators; finite element analysis; linear accelerators; physics computing; 2D field solver; SLAC; SUPERFISH; URMEL; URMEL-T; algebraic eigenvalue solver; analytic solutions; axisymmetric structures; code; eigenvalue shift; eigenvalues; finite element; inverse power method; periodic structures; quasi-periodic boundary conditions; special corner elements; target eigenvalue; traveling waves; two-dimensional; Boundary conditions; Contracts; Eigenvalues and eigenfunctions; Finite element methods; Government; Linear accelerators; Maxwell equations; Periodic structures; Protection; Tellurium;
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
DOI :
10.1109/PAC.1991.164419
