Abstract
The field flatness of any radio frequency quadrupole (RFQ) is an important parameter that needs to be carefully tuned because it can affect beam transmission efficiency. In four-rod RFQs, the heights of a set of tuning plates determine the quality of the field flatness. The goals of this paper are (a) to show that by using a lumped circuit model of a four-rod RFQ, the field flatness profile for any tuning plate height distribution can be quickly calculated, (b) to derive a perturbative solution of the model so that insights into the physics of the tuning process and its effects can be understood, and (c) to compare the predicted field profiles to measurements.
Highlights
In the four-rod radio frequency quadrupole (RFQ) shown in Fig. 1, tuning plates are used to change the voltage in each tuning cell by raising or lowering them
Coming back to tuning the RFQ, the lack of an accurate real-time model for the tuning process results in the reversion back to the traditional iterative method. It is with the above problems in mind that we want to see whether a lumped circuit model of the four-rod RFQ can be used instead
We have shown how the application of perturbation theory to the lumped circuit model can be used to understand the physics of field flatness tuning
Summary
We show here the results of five models with different meshes that have been refined and varied to improve the simulation accuracy All of these models have several million mesh cells and all of them exhibit a slope in the simulated field distribution from the low energy end to the high energy end that is not present in our measurement. Coming back to tuning the RFQ, the lack of an accurate real-time model for the tuning process results in the reversion back to the traditional iterative method It is with the above problems in mind that we want to see whether a lumped circuit model of the four-rod RFQ can be used instead. We will use a simplified model for four-rod RFQs first published by Fang et al in 1992 [9] which we will improve and expand upon
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