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Abstract. A high yield and beam stable neutron tube can be applied in many fields. It is of great significance to the optimal external magnetic field intensity of cold cathode Penning ion source (PIS) and precisely control the movement of deuterium (D), tritium (T) ions and electrons in the source of the neutron tubes. A cold cathode PIS is designed based on the solenoidal magnetic field to obtain better uniformity of the magnetic field and higher yield of the neutron tube. The degree of magnetic field uniformity among the magnetic block, double magnetic rings, and solenoidal ion sources is compared by finite element simulation (FES) methods. By using drift diffusion approximation (DDA) and magnetic field coupling method, the plasma distribution of hydrogen and the relationship between plasma density and magnetic field intensity at 0.06 Pa pressure and solenoid magnetic field are obtained. The results show that the solenoidal ion source has the most uniform magnetic field distribution. The optimum magnetic field strength of about 0.1 T is obtained in the ion source at an excitation voltage of 1 V. The maximum average number density of monatomic hydrogen ions (H+) is 1×108 /m3 and an ion beam current of about 14.51 μA is formed under the -5000 V extraction field. The study of the solenoidal magnetic field contributes to the understanding of the particle dynamics within the PIS and provides a reference for the further improvement of the source performance for the neutron tube in the future. 
Keywords: Plasma; PIS; DDA; Magnetic field intensityity

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