Simulation and Investigation of Deuteron Trajectories in the Main Electromagnetic Field of AVF Cyclotron

摘要

The paper describes Trajectories of Deuteron, equilibrium orbits and stability of deuterons on a four sectors of tight design giving 15 MeV deuterons. So, we solved differential equations on Electromagnetic fields in central region of Cyclotron30 by paying attention to boundary value, electric and magnetic field; Then, we show the scheme of position-time and simulated trajectories of deuteron ion in these regions by programming in C++. We could get good results like energy, period of time that is comparable with a real one. We also calculate radial and vertical changes of magnetic field of Cyclone-30 by multi degree and Fourier functions. Based on measured main magnetic field by Ion Beam Application, we calculated coefficients of these functions and then investigated equilibrium orbits and stability includes Betetatron frequency, radial and vertical motion and momentum, etc. Advanced graphical tools of MATLAB give good visualization features to created models.