  We present a method for optimization of the multi-turn injection effciency
for medical synchrotron. We show that for given injection energy the injection
efficiency can be greatly enhanced by choosing transverse tunes appropriately
as well as optimizing the injection bump and the number of turns required for
beam injection. We verify our study by applying the method to the Korea Heavy
Ion Medical Accelerator (KHIMA) synchrotron which is currently built at the
campus of Dongnam Institute of Radiological and Medical Sciences (DIRAMS) in
Busan, Korea. First the frequency map analysis is performed with the help of
ELEGANT and ACCSIM codes. The tunes which yield the good injection efficiency
are then selected. With these tunes the injection bump and the number of turns
required for injection are then optimized by tracking a number of particles up
to one thousand turns after injection beyond which there is no further beam
loss. Results for optimization of the injection efficiency for proton ion are
presented.
