Compact H- cyclotrons are used all across the globe to
produce medical isotopes. Machines with external ion sources have
demonstrated average extracted currents on the order of a few mA,
although reported operational numbers are typically around 1 mA or
below. To explore the possibility of extracting even more current
from such cyclotrons, it is important to understand the mechanisms
that drive intensity limits and how they scale. In this paper we
review some of the key aspects of the beam dynamics in the central
region of compact cyclotrons, including rf electric focusing and
space charge effects. We derive the scaling of the phase acceptance
with the rf gap voltage, harmonic number, etc. We also explore the
scaling with different types of ions such as H-, H+
2 and
H+
3. We discuss the impact of mechanical erosion of the central
region electrodes. Thoughout the paper, we use examples and
experimental data from two compact H- cyclotrons for reference:
the TR-30 series and the TRIUMF 500 MeV machine.