Optimal Acceleration in Isochronous Straight Sector Cyclotrons

During the design of a cyclotron the time and attention dedicated to the injection and extraction of a beam usually overcome those devoted to the acceleration. However, the efficiency of the accelerating process largely contributes to the overall efficiency of the machine because the beam spends the most time in the accelerating region. A thorough and systematic study of the influence of beam parameters on the overall quality of acceleration is performed. The conditions for the optimal acceleration are determined and the method for defining the complete continuous sets of input parameters providing such acceleration is proposed.