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The particle-in-cell-Monte Carlo collision model is used to simulate the dielectric surface discharge in Gaussian and sinusoidal microwave electric fields. The effect of microwave electric field waveform on the discharge characteristics in vacuum and gases of different pressures is investigated, when the transmission power of Gaussian microwave is equal to that of sinusoidal microwave. In vacuum, the growth rate and saturation level of the number of electrons produced by multipactor in the Gaussian microwave electric field are lower than those in the sinusoidal microwave electric field. This is attributed to the lower amplitude of the mean electron energy in the Gaussian microwave electric field. At low pressure, the growth rate of the number of electrons generated by multipactor and gas ionization in the Gaussian microwave electric field is also lower than that in the sinusoidal microwave electric field. However, the plasma grows more rapidly in the Gaussian microwave electric field than in the sinusoidal microwave electric field at high pressure. This is because the rate of gas ionization that dominates the dielectric surface discharge in the Gaussian microwave field is higher than that in the sinusoidal microwave field.
The particle-in-cell-Monte Carlo collision model is used to simulate the dielectric surface discharge in Gaussian and sinusoidal microwave electric fields. The effect of microwave electric field waveform on the discharge characteristics in vacuum and gases of different pressures is investigated, when the transmission power of Gaussian microwave is equal to that of sinusoidal microwave. In vacuum, the growth rate and saturation level of the number of electrons produced by multipactor in the Gaussian microwave electric field are lower than those in the sinusoidal microwave electric field. This is attributed to the lower amplitude of the mean electron energy in the Gaussian microwave electric field. At low pressure, the growth rate of the number of electrons generated by multipactor and gas ionization in the Gaussian microwave electric field is also lower than that in the sinusoidal microwave electric field. However, the plasma grows more rapidly in the Gaussian microwave electric field than in the sinusoidal microwave electric field at high pressure. This is because the rate of gas ionization that dominates the dielectric surface discharge in the Gaussian microwave field is higher than that in the sinusoidal microwave field.
The particle-in-cell (PIC) simulation method is used to get the reliable ionization parameters of high power microwave flashover and breakdown on dielectric surface for fluid modeling. Firstly, the PIC method is presented briefly, including dynamic equations, secondary emission and Monte-Carlo collision (MCC) between electron and gas atom. Secondary, the fluid global model (GM) is introduced including continuity and energy conservation functions. Finally, by using a 1D3V PIC-MCC code programmed by the authors, the ionization parameters are calculated under different microwave electric-field values, microwave frequencies, gas types and pressures for fluid modeling, including ionization frequency, breakdown delay time, average electron energy, electron energy distribution function (EEDF). The numerical results could be concluded as follows. Average electron energy is unrelated to EEDF type. At middle and low gas pressures, electron energy satisfies Maxwell distribution, and ionization parameters are unrelated to EEDF type. At middle and high gas pressures, ionization parameter is related to EEDF type, and the relevant coefficient X of EEDF tends to be of high older. Different gases have different EEDF types, and the relevant coefficient X of EEDF should be corrected by PIC simulation. The value of X is also related to microwave electric-field value and frequency, and its value increases with the increase of microwave electric-field value and the decrease of microwave frequency. In a fixed range (microwave electric-field value below 7 MV/m, and microwave frequency below 40 GHz), at middle and low gas pressures, the average electron energy increases with the increase of electric-field value and the decrease of microwave frequency rapidly, and the ionization frequency increases and then decreases with the increase of microwave electric-field value and frequency respectively; at high gas pressure, the average electron energy increases with the increase of electric-field value slowly, the ionization frequency increases with the increase of electric-field value, and the average electron energy and ionization frequency are unrelated to microwave frequency.
To suppress the secondary electron multipactor on dielectric surfaces of a dielectric load accelerator under an electromagnetic field in TM mode, the method of adopting both groove structure and external axial magnetic field is introduced. As the electric field distribution of the TM mode is composed of both normal and tangential components, it is different from that under the condition of dielectric window in HPM. Thus, theoretical analysis and numerical simulation are employed to study the movement of electrons under different conditions: such as dielectric surface shapes, electric field strength, and magnetic field strength etc. Based on the particle-in-cell (PIC) simulation, the collision energy and transmit-duration of secondary electrons in different groove structures and axial magnetic fields are compared with one another. Results show that the magnetic field is useful for suppressing the development of secondary electron on dielectric surface, while it is not very efficient under high electric field strength. The method of introducing groove structure and certain axial magnetic field on dielectric surface at the same time is capable of affecting the movement of electrons in electric field of different strength. So it is great helpful in improving the ability of multipactor suppression, which is significant for improving the threshold of breakdown on dielectric surface and the power of cavity. However, a too high or too low magnetic field is not very useful for the suppression of multipactor. Furthermore, employing only one of the two parts of the method is also less effective in suppressing the multipactor.
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