The higher order modes calculation of RF cavity with finite element method
A previous paper presented a way to calculate not only the fundamental and longitudical modes but also the transverse higher modes of RF cavity. But with this method higher modes are calculated one by one. In this paper we present a finite element method using triangulated elements, six points quadratic interpolation for improvement. At first, we obtain a tridiagonal coefficient matrix with the Householder method, then calculate its eigenvalues using half-divided method. With this method we can calculate any order eigenvalues (and resonant frequency values) and the responding eigenvectors (and field distribution) of a mode group simultaneously at one time. This method is convenient, accurate and economical for computing time.
- Research Organization:
- Zhejiang University, Hangzhou, Zhejiang
- OSTI ID:
- 6298953
- Report Number(s):
- CONF-850504-; TRN: 86-004214
- Journal Information:
- IEEE Trans. Nucl. Sci.; (United States), Vol. NS-32:5; Conference: Particle accelerator conference, Vancouver, Canada, 13 May 1985
- Country of Publication:
- United States
- Language:
- English
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ACCELERATORS
RF SYSTEMS
OSCILLATION MODES
FINITE ELEMENT METHOD
CALCULATION METHODS
CAVITY RESONATORS
EIGENVALUES
EIGENVECTORS
HARMONICS
INTERPOLATION
RADIATION SOURCES
RESONANCE
ELECTRONIC EQUIPMENT
EQUIPMENT
NUMERICAL SOLUTION
OSCILLATIONS
RESONATORS
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