Computer simulation of the space charge dominated beam dynamics for external injection into the JINR Phasotron
A project of increasing the beam intensity of the 660 MeV JINR proton Phasotron up to 50 µA by an external injection of the H − beam with energy of 5 MeV is now under design. Computer simulation of the space charge dominated beam dynamics in Phasotron is reported. As follows from the simulation, the capture efficiency does not change too much when the beam space charge is taken into account.
The magnetic analogue method as used in the study of a cyclotron central region
Abstract The shape of the electric field in a given electrode configuration can be found with the help of a magnetic analogue. In the study of the central particle trajectories of a cyclotron, where a detailed knowledge of the electric accelerating fields is essential, this method appears to be particularly useful. A detailed discussion of the method itself is presented. A computer-controlled apparatus has been built to perform the necessary measurements. The mensuring procedures, the subsequent checks and corrections that are applied and the use of the fields in the orbit integrations are reviewed.
The central region of the Delft 12 MeV isochronous cyclotron
Abstract In the Delft isochronous cyclotron two regions may be distinguished with respect to trajectory calculations: firstly, a main region characterized by an intricate magnetic field, a simple electric field and negligible space charge; secondly, a central region where things are just reversed. For the central region of this cyclotron two computer programmes have been written without taking space charge into account. In the first programme the trajectories in the median plane are calculated for various source-puller situations and for various initial positions and start phases. In the second programme the vertical motion is calculated for any trajectory computed in the first programme. In both programmes the equations of motion are solved by means of a fourth order Runge-Kutta procedure. The field data in the equations of motion are obtained from electrolytic tank measurements. Absence of a central magnetic field cone is the only particular supposition made, so application of the results to some other machines will probably be possible. Two typical results are: 1. 1. a beam quality of 54 mm · mrad at 12 MeV for a source hole diameter of 2 mm and a symmetrical electric field; 2. 2. a better steadiness of the centre of curvature for a more symmetrical electric field.