New formulation of the RFQ radial matching section
Abstract
The electric field potential function in an radio frequency quadrupoles (RFQ) radial matcher has been formulated, adopting the lowest order potential function expanded in a Fourier Bessel series. The focusing strength varies sinusoidally with the distance along the beam axis. The overlap between the time-dependent RFQ acceptance and the injected beam phase space area has been calculated. The overlap more than 90% is attained with a several cell long radial matcher.
- Publication:
-
Proceedings of the 1981 Linear Accelerator Conf.
- Pub Date:
- February 1982
- Bibcode:
- 1982liac.conf..313T
- Keywords:
-
- Cavities;
- Electric Fields;
- Ion Injection;
- Quadrupoles;
- Radio Frequencies;
- Time Dependence;
- Transmission Efficiency;
- Bessel Functions;
- Boundary Value Problems;
- Fourier Transformation;
- Mathematical Models;
- Matrices (Mathematics);
- Electronics and Electrical Engineering