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An analytical model of secondary electron (SE) emission (SEE) from metal surface with regular structure is presented. In this model, the quantitative relationship between the SE emission yield (SEY) and surface topography is examined. Using the idea of multi-generation for SE emission, the first-generation of SEs is considered as being dominant in total SEs. The shielding effect of the surface structures on the SE is found to be the main factor influencing final SEY. On the basis of the cosine distribution of secondary electrons emission direction, the quantitative relationship between the SEY and surface topography parameters is revealed. Then taking the rectangular and triangular grooves for example, the analytical formulas of first-generation SEY are derived for both normal and oblique incidence. The analytical results are then verified with the Monte Carlo simulation results and experimental data. The results show that a rectangular groove with a bigger depth-to-width ratio can suppress the SEE more efficiently. For a triangular groove, owing to having both enhancing and suppressing effects on SEE, a small groove angle is required for effective SEE suppression. The present analytical model gives an insight into the relationship between the SEY and the surface topography parameters and is helpful for the structure design to modify SEY.
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Keywords:
- secondary electron emission /
- secondary electron yield /
- analytical model /
- regular surfaces
[1] Seiler H 1983 J. Appl. Phys. 54 R1
[2] Shih A, Yater J, Hor C, Abrams R 1997 Appl. Surf. Sci. 111 251
[3] Pimpec F L, Kirby R E, King F, Pivi M 2005 Nucl. Instrum. Methods Phys. Res., Sect. A: Accelerators, Spectrometers, Detectors and Associated Equipment 551 187
[4] Kishek R A, Lau Y Y, Ang L K, Valfells A, Gilgenbach R M 1998 Phys. Plasmas 5 2120
[5] Duan P, Qin H J, Zhou X W, Cao A N, Chen L, Gao H 2014 Chin. Phys. B 23 075203
[6] Zhao S L, Bertrand P 2011 Chin. Phys. B 20 037901
[7] Xie A G, Zhan Y, Gao Z Y, Wu H Y 2013 Chin. Phys. B 22 057901
[8] Vaughan J 1989 IEEE T. Electron Dev. 36 1963
[9] Suetsugu Y, Tsuchiya M, Nishidono T, Kato N, Satoh N, Endo S, Yokoyama T 2003 J. Vac. Sci. Technol. A 21 186
[10] Pivi M, King F K, Kirby R E, Raubenheimer T O, Stupakov G, Pimpec F 2008 J. Appl. Phys. 104 104904
[11] Chang C, Huang H J, Liu G Z 2009 J. Appl. Phys. 105 123305
[12] Chang C, Liu G Z, Fang J Y 2010 Laser and Particle Beams 28 185
[13] Chang C, Verboncoeur J, Tantawi S 2011 J. Appl. Phys. 110 063304
[14] Ye M, He Y N, Wang R, Hu T C, Zhang N, Yang J, Cui W Z, Zhang Z B 2014 Acta Phys. Sin. 63 147901 (in Chinese) [叶鸣, 贺永宁, 王瑞, 胡天存, 张娜, 杨晶, 崔万照, 张忠兵 2014 物理学报 63 147901]
[15] Kawata J, Ohya K, Nishimura K 1995 J. Nucl. Mater. 222 997
[16] Li Y D, Yang W J, Zhang N, Cui W Z, Liu C L 2013 Acta Phys. Sin. 62 077901 (in Chinese) [李永东, 杨文晋, 张娜, 崔万照, 刘纯亮 2013 物理学报 62 077901]
[17] Furman M A, Pivi M 2002 Phys. Rev. S. T. Acce. Beams 5 124404
[18] Wang L, Raubenheimer T O, Stupakov G 2007 Nucl. Instrum. Methods Phys. Res. Sect. A: Accelerators, Spectrometers, Detectors and Associated Equipment 571 588
[19] Cao M, Zhang N, Hu T C, Wang F, Cui W Z 2015 J. Phys. D: Appl. Phys. 48 055501
[20] Zhang N, Cao M, Cui W Z, Zhang H B 2014 Chin. J. Vac. Sci. Technol. 34 554 (in Chinese) [张娜, 曹猛, 崔万照, 张海波 2014 真空科学与技术学报 34 554]
[21] Penn D 1987 Phys. Rev. B 35 482
[22] Weng M, Hu T C, Cao M, Xu W J 2015 Acta Phys. Sin. 64 157901 (in Chinese) [翁明, 胡天存, 曹猛, 徐伟军 2015 物理学报 64 157901]
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[1] Seiler H 1983 J. Appl. Phys. 54 R1
[2] Shih A, Yater J, Hor C, Abrams R 1997 Appl. Surf. Sci. 111 251
[3] Pimpec F L, Kirby R E, King F, Pivi M 2005 Nucl. Instrum. Methods Phys. Res., Sect. A: Accelerators, Spectrometers, Detectors and Associated Equipment 551 187
[4] Kishek R A, Lau Y Y, Ang L K, Valfells A, Gilgenbach R M 1998 Phys. Plasmas 5 2120
[5] Duan P, Qin H J, Zhou X W, Cao A N, Chen L, Gao H 2014 Chin. Phys. B 23 075203
[6] Zhao S L, Bertrand P 2011 Chin. Phys. B 20 037901
[7] Xie A G, Zhan Y, Gao Z Y, Wu H Y 2013 Chin. Phys. B 22 057901
[8] Vaughan J 1989 IEEE T. Electron Dev. 36 1963
[9] Suetsugu Y, Tsuchiya M, Nishidono T, Kato N, Satoh N, Endo S, Yokoyama T 2003 J. Vac. Sci. Technol. A 21 186
[10] Pivi M, King F K, Kirby R E, Raubenheimer T O, Stupakov G, Pimpec F 2008 J. Appl. Phys. 104 104904
[11] Chang C, Huang H J, Liu G Z 2009 J. Appl. Phys. 105 123305
[12] Chang C, Liu G Z, Fang J Y 2010 Laser and Particle Beams 28 185
[13] Chang C, Verboncoeur J, Tantawi S 2011 J. Appl. Phys. 110 063304
[14] Ye M, He Y N, Wang R, Hu T C, Zhang N, Yang J, Cui W Z, Zhang Z B 2014 Acta Phys. Sin. 63 147901 (in Chinese) [叶鸣, 贺永宁, 王瑞, 胡天存, 张娜, 杨晶, 崔万照, 张忠兵 2014 物理学报 63 147901]
[15] Kawata J, Ohya K, Nishimura K 1995 J. Nucl. Mater. 222 997
[16] Li Y D, Yang W J, Zhang N, Cui W Z, Liu C L 2013 Acta Phys. Sin. 62 077901 (in Chinese) [李永东, 杨文晋, 张娜, 崔万照, 刘纯亮 2013 物理学报 62 077901]
[17] Furman M A, Pivi M 2002 Phys. Rev. S. T. Acce. Beams 5 124404
[18] Wang L, Raubenheimer T O, Stupakov G 2007 Nucl. Instrum. Methods Phys. Res. Sect. A: Accelerators, Spectrometers, Detectors and Associated Equipment 571 588
[19] Cao M, Zhang N, Hu T C, Wang F, Cui W Z 2015 J. Phys. D: Appl. Phys. 48 055501
[20] Zhang N, Cao M, Cui W Z, Zhang H B 2014 Chin. J. Vac. Sci. Technol. 34 554 (in Chinese) [张娜, 曹猛, 崔万照, 张海波 2014 真空科学与技术学报 34 554]
[21] Penn D 1987 Phys. Rev. B 35 482
[22] Weng M, Hu T C, Cao M, Xu W J 2015 Acta Phys. Sin. 64 157901 (in Chinese) [翁明, 胡天存, 曹猛, 徐伟军 2015 物理学报 64 157901]
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