Study of the Four-Rod RFQ Using the Normal Mode Theory of Transmission Lines
Abstract
The normal mode theory of the transmission lines is applied to the studies of the Four-Rod RFQ. This resonator consists of four quadrupole electrodes and stems. It can be simulated by the four-conductor shielded transmission line, which is loaded by sets of coaxial transmission lines corresponding to the support stems. The ideal case of the indefinite periodic Four-Rod RFQ is considered. Formulas for resonance frequency, the voltage distribution along the electrodes and the shunt impedance are obtained.
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