Mode Classification for Cavities using Eigenvalue Tracking
Eigenmodes of accelerator cavities are cataloged based on their electromagnetic fieldsin order to analyze the performance of the device. The nomenclature is originally definedfor cylindrical pillbox cavities where the eigenfrequencies and corresponding fielddistributions are known analytically. Due to the complex shape of real-world cavities,in practice the eigenmodes need to be determined using numerical simulations. Theattempt to automatically classify eigenmodes by post-processing the numerical fieldsolution is still cumbersome . Therefore, the focus of this work is to investigate automaticmode recognition by deforming the cavity geometry to a pillbox and trackingthe eigenmodes during the deformation.
- Literature study on eigenvalue tracking and isogeometric analysis
- Modelling of TESLA cavities using the isogeometric code GeoPDEs
- Construction of geometric mappings and application of eigenvalue tracking• Comparison with the heuristic approach 
- Possible extensions: comparison of different methods for eigenvalue tracking;FEM and mesh deformation; continuation of invariant subspace algorithm
Basic knowledge of or interest in Maxwell’s equations and numerical methods. Experience with programming languages such as MATLAB/Octave.
 K. Brackebusch et al. Automated Mode Recognition Algorithm for Accelerating Cavities, IPAC, 2014.