Author: Pham-Xuan, V.
Paper Title Page
TUPAG03
 High-Precision Lossy Eigenfield Analysis Based on the Finite Element Method  
 
  • W. Ackermann, H. De Gersem, V. Pham-Xuan
    TEMF, TU Darmstadt, Darmstadt, Germany
  
  A proper eige­n­analy­sis of res­onat­ing par­ti­cle ac­cel­er­a­tor com­po­nents is par­tic­u­larly ad­van­ta­geous to char­ac­ter­ize struc­tures with high qual­ity fac­tors. While in for­mer times eigen­mode cal­cu­la­tions have been con­cen­trat­ing on the loss­less cases only, mean­while also lossy struc­tures with fi­nite-con­duc­tive ma­te­ri­als or with ab­sorb­ing bound­ary con­di­tions like PML or ports even with low qual­ity fac­tors are rou­tinely avail­able. In the loss­less case where no damp­ing is pre­sent, all eigen­val­ues are lo­cated along the real axis. If damp­ing has to be mod­eled in­stead, the cor­re­spond­ing eigen­val­ues are dis­trib­uted within the first quad­rant of the com­plex plane that ren­ders their de­ter­mi­na­tion much more ex­pen­sive. One of the crit­i­cal is­sues is that no res­o­nance should be missed so that all de­sired eigen­val­ues in a given re­gion of the com­plex plane can be pre­cisely de­ter­mined. We im­ple­mented two dif­fer­ent eigen­value solvers based on a dis­trib­uted-mem­ory ar­chi­tec­ture. While the first one is a clas­si­cal Ja­cobi-David­son eigen­value solver which has been adopted to be used also within a com­plex-arith­metic en­vi­ron­ment, the sec­ond one is based on the con­tour-in­te­gral method which en­ables to de­ter­mine all eigen­val­ues within a given closed con­tour in the com­plex plane. Both solvers are at­tached to a FEM proces­sor with sec­ond-or­der edge el­e­ments on curved tetra­he­dra and can be used to­gether in order to im­prove the com­pu­ta­tional ef­fi­ciency. In the pre­sen­ta­tion a se­lec­tion of suc­cess­ful real-world ap­pli­ca­tions of the im­ple­mented par­al­lel eigen­value solvers will be given.  
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