The three dimensional code KOBRA3 has been used to simulate nonsymmetric ex
traction systems such as from an electron cyclotron resonance (ECR) ion sou
rce and a Penning ion source (PIG). For the ECR case the particle distribut
ion is nonsymmetric due to the hexapole magnet. The PIG source extraction i
s usually a slit in magnetic field direction. The extracted ion beams usual
ly cannot be transported without space charge compensation. The creation an
d behavior of the compensating particles and the resulting beam transport h
as been simulated with KOBRA3 as well. The applied model in the simulation
describing this compensation is similar to the model used for space charge
compensation in the plasma for extraction problems. Good agreement of the s
imulations with the experimental results has been obtained. (C) 2000 Americ
an Institute of Physics. [S0034-6748(00)64802-5].