Classification of eigenmodes in rf cavities using the group theory
For many damped-accelerating cavities for high-intensity beams, classifications of eigenmodes according to azimuthal indices are generally insufficient due to a lack of their axial symmetry. To classify the eigenmodes in such cavities having general symmetry, the application of group theory is studi...
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| Format: | Article |
| Language: | English |
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American Physical Society
2005-07-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.8.072002 |
| Summary: | For many damped-accelerating cavities for high-intensity beams, classifications of eigenmodes according to azimuthal indices are generally insufficient due to a lack of their axial symmetry. To classify the eigenmodes in such cavities having general symmetry, the application of group theory is studied. By taking basis functions from a complete set of eigenmodes, one can form a representation of the symmetry group of the cavity. The eigenmodes can then be classified according to irreducible representations of the symmetry group. This method is particularly useful for classifying the eigenmodes in complicated cavities, and for understanding the effects of perturbations on the eigenmodes. |
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| ISSN: | 1098-4402 |