Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By Q. Song, X. Wang, W.-Z. Cui, Z. Wang, Y. Shen, and L.-X. Ran

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In this paper, we propose a stochastic approach for the analytical analysis of the multicarrier multipactor discharge occurring in high-power vacuum microwave devices, in which electric fields are not homogeneously distributed. We indicate that the statistical behavior of large amount of secondary electrons in the process of a multipactor discharge can be well described by the probabilistic random walk and Levy walk theory. Based on the derived probability density of the lateral diffusion of secondary electrons in homogeneous fields, the multicarrier multipaction in inhomogeneous fields can be analytically computed with significantly enhanced efficiency. As a demonstration, the accumulation of secondary electrons of a multicarrier multipaction in a rectangular waveguide supporting TE10 mode is given. The theoretical results comply well with the results achieved by the time-consuming particle simulation, the slope difference of which is less than 0.8%, while only costs one-order less computational time. To the best of our knowledge, this is the first time that the probability density of the lateral diffusion of secondary electrons during a multipaction is theoretically derived. This density depicts the physical picture of the statistical movement of secondary electrons during the process of a multicarrier multipactor, which can be widely used in the areas of high-power electronics and electromagnetism.

Q. Song, X. Wang, W.-Z. Cui, Z. Wang, Y. Shen, and L.-X. Ran, "Multicarrier Multipactor Analysis Based on Branching Levy Walk Hypothesis," Progress In Electromagnetics Research, Vol. 146, 117-123, 2014.

1. Farnsworth, P. T., "Television by electron image scanning," Journal of the Franklin Institute, Vol. 218, 411, 1934.

2. Vaughan, J. R. M., "Multipactor," IEEE Trans. Electron. Dev., Vol. 35, 1172, 1988.

3. Kishek, R. A., Y. Y. Lau, L. K. Ang, A. Valfells, and R. M. Gilgenbach, "Multipactor discharge on metals and dielectrics: Historical review and recent theories," Phys. Plasmas, Vol. 5, 2120, 1998.

4. ECSS, "Space engineering: Multipacting design and test,", ESA Publication Division, Noordwijk, 2003.

5. Gill, E. W. B. and A. von Engel, "Starting potentials of high-frequency gas discharges at low pressure," Proc. R. Soc. London, Ser. A, Vol. 192, 446, 1948.

6. Semenov, V. and A. Kryazhev, "Multipactor suppression in amplitude modulated radio frequency fields," Phys. Plasmas, Vol. 8, 5034, 2001.

7. Rozario, N., H. F. Lenzing, F. Reardon, M. S. Zarro, and C. G. Baran, "Investigation of Telstar 4 spacecraft Ku-band and C-band antenna component for multipaction breakdown," IEEE Trans. Microwave Theory Tech., Vol. 42, 558, 1994.

8. Geisser, K. H. and D. Wolk, "Proceedings of the Second International Workshop on Multipactor, RF and DC Corona and Passive Intermodulation in Space RF Hardware," ., ESTEC, Noordwijk, 1996.

9. Sazontov, A., N. Vdovicheva, M. Buyanova, V. Semenov, D. Anderson, J. Puech, M. Lisak, and L. Lapierre, "Proceedings of the Fourth International Workshop on Multipactor, RF and DC Corona and Passive Intermodulation in Space RF Hardware," ESTEC, Noordwijk, 2003.

10. Anza, S., C. Vicente, B. Gimeno, V. E. Boria, and J. Armendariz, "Long-term multipactor discharge in multicarrier systems," Phys. Plasmas, Vol. 14, 082112, 2007.

11. Anza, S., M. Mattes, C. Vicente, J. Gil, D. Raboso, V. E. Boria, and B. Gimeno, "Multipactor theory for multicarrier signals," Phys. Plasmas, Vol. 18, 032105, 2011.

12. Anza, S., C. Vicente, J. Gil, V. E. Boria, B. Gimeno, and D. Raboso, "Nonstationary statistical theory for multipactor," Phys. Plasmas, Vol. 17, 062110, 2010.

13. Bouchaud, J. and A. Georges, "Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications," Physics Reports, Vol. 195, 127-293, 1990.

14. Edwards, A. M., et al., "Revisiting Levy flight search patterns of wandering albatrosses, bumblebees and deer," Nature, Vol. 449, 1044-1049, 2007.

15. Humphries, N., et al., "Environmental context explains Levy and Brownian movement patterns of marine predator," Nature, Vol. 465, 1066-1069, 2010.

16. Shlesinger, M. F., J. Klafter, and G. Zumofen, "Above, below and beyond Brownian motion American Journal of Physics,", Vol. 67, 1253-1259, 1999.

17. Gnedenko, B. V. and A. N. Kolmogorov, Limit Distributions for Sums of In-dependent Random Variables, Addison-Wesley, Reading, Massachusetts, 1968.

18. Mussawisade, K., J. E. Santos, and G. M. Schutz, "Branching-annihilating random walks in one dimension: Some exact results," J. Phys. A: Math. Gen., Vol. 31, 4381-4394, 1998.

19. Furman, M. A. and M. T. F. Pivi, "Probabilistic model for the simulation of secondary electron emission," Phys. Rev. ST Accel., Vol. 5, 124404, 2002.

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