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Although the grid with film sphere and porous structure plays a very important role in sphere grid-controlled electron gun, its cut-off amplification factor can be obtained only in the plane-square-mesh approximation. Due to the lack of consideration for non-uniformity of cut-off amplification factor and information about cathode half-angle and radius of curvature of grid, the designs of sphere grid and electron gun cannot be related by the plane-square-mesh approximation, which is unusable as theory basis for fabricating thinner grid wires. In this paper, we model the grid with film sphere and porous structure and obtain the new expression for cut-off amplification factor by recalculating the screening factors and the ratios of the radius of grid wire to the area of this single mesh in different ring areas. In combination with the conclusion of cut-off amplification factor given in Spangenberg's book, the effects of grid wire's radius, sphere center angle and the number of radial grid wires on the cut-off amplification factor, and the variation of the cut-off amplification factor with temperature rising are obtained. Finally, the steps for the design of grid with film sphere and porous structure and some specific examples are presented. The results show that the grid devised by new expression is more stable and reliable, and problems existing in plane-square-mesh approximation are solved.
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Keywords:
- grid-controlled electron gun /
- grid with film sphere and porous structure /
- cut-off amplification factor /
- screening factor
[1] Sun F Y, Wu Z H and Zhang K C 2010 Acta Phys. Sin. 59 1721 (in Chinese) [孙富宇, 吴振华, 张开春 2010 物理学报 textbf 59 1721]
[2] Liu G Z, Huang W H, Shao H, Xiao R Z 2006 Chin. Phys. 15 600
[3] [4] Liu G Z and Shao H 2003 Chin. Phys. 12 204
[5] [6] [7] Liu G Z, Yang Z F 2010 Chin. Phys. B 19 075207
[8] [9] Zhou L W, Gong H, Zhang Z Q, Zhang Y F, 2010 Acta Phys. Sin. 59 5459 (in Chinese) [周立伟, 公慧, 张智诠, 张轶飞 2010 物理学报 textbf 59 5459]
[10] [11] Liao Fujiang Li Shuhan Qian Lijun 2002 3rd International Conference on Microwave and Millimeter Wave Technology Proceedings, 102105
[12] Li F, Xaio L, Liu P K, Yi H X, Wan X S 2011 Acta Phys. Sin. 60 097901 (in Chinese) [李飞, 肖刘, 刘濮鲲, 易红霞, 万晓声 2011 物理学报 textbf 60 097901]
[13] [14] Schottky W 1919 Archiv. fr Elktrotech. 8 1
[15] [16] [17] Abraham M 1919 Archiv. fr Elktrotech. 8 42
[18] Laue M V 1919 Ann. der Phys. 59 465
[19] [20] King R W 1920 Phys. Rev. 15 256
[21] [22] Vogdes F B, Elder F R 1924 Phys.Rev. 24 683
[23] [24] Bernard Salzberg 1942 Proc.Inst.Radio.Engrs. 30 134
[25] [26] [27] Eaglesfield C C 1942 Wireless Engr. 19 447
[28] [29] Spangenberg K R 1948 Vacuum Tubes (McGraw-Hill, NewYork)
[30] [31] Wolkstein H J 1960 RCA Rev. 21 389
[32] Electron tube design handbook compiling committees 1981 A handbook for design of electron optics system in microwave tube (First edition) (Beijing: National defense industry press) p5666 (in Chinese) [电子管设计手册编辑委员会1981微波管电子光学系统设计手册 (第一版)(北京: 国防工业出版社) 第5666页]
[33] [34] [35] Molokosky S I, Sushkov A D 2005 Intense electron and ion beams (Springer-Verlag Berlin Heidelberg(printed in Germany)) pp145 155
[36] [37] Harris J R, Neumann J G, O'Shea P G 2005 Free-Electron Laser Conf. Stanford CA, pp2126, THPP062
[38] [39] [40] Haber I 2005 Proceedings of 2005 Particle Accelerator Conference, Knoxville, Tennessee pp29082910
[41] [42] Haber I 2004 Nuclear Instruments and Methods A 519 396
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[1] Sun F Y, Wu Z H and Zhang K C 2010 Acta Phys. Sin. 59 1721 (in Chinese) [孙富宇, 吴振华, 张开春 2010 物理学报 textbf 59 1721]
[2] Liu G Z, Huang W H, Shao H, Xiao R Z 2006 Chin. Phys. 15 600
[3] [4] Liu G Z and Shao H 2003 Chin. Phys. 12 204
[5] [6] [7] Liu G Z, Yang Z F 2010 Chin. Phys. B 19 075207
[8] [9] Zhou L W, Gong H, Zhang Z Q, Zhang Y F, 2010 Acta Phys. Sin. 59 5459 (in Chinese) [周立伟, 公慧, 张智诠, 张轶飞 2010 物理学报 textbf 59 5459]
[10] [11] Liao Fujiang Li Shuhan Qian Lijun 2002 3rd International Conference on Microwave and Millimeter Wave Technology Proceedings, 102105
[12] Li F, Xaio L, Liu P K, Yi H X, Wan X S 2011 Acta Phys. Sin. 60 097901 (in Chinese) [李飞, 肖刘, 刘濮鲲, 易红霞, 万晓声 2011 物理学报 textbf 60 097901]
[13] [14] Schottky W 1919 Archiv. fr Elktrotech. 8 1
[15] [16] [17] Abraham M 1919 Archiv. fr Elktrotech. 8 42
[18] Laue M V 1919 Ann. der Phys. 59 465
[19] [20] King R W 1920 Phys. Rev. 15 256
[21] [22] Vogdes F B, Elder F R 1924 Phys.Rev. 24 683
[23] [24] Bernard Salzberg 1942 Proc.Inst.Radio.Engrs. 30 134
[25] [26] [27] Eaglesfield C C 1942 Wireless Engr. 19 447
[28] [29] Spangenberg K R 1948 Vacuum Tubes (McGraw-Hill, NewYork)
[30] [31] Wolkstein H J 1960 RCA Rev. 21 389
[32] Electron tube design handbook compiling committees 1981 A handbook for design of electron optics system in microwave tube (First edition) (Beijing: National defense industry press) p5666 (in Chinese) [电子管设计手册编辑委员会1981微波管电子光学系统设计手册 (第一版)(北京: 国防工业出版社) 第5666页]
[33] [34] [35] Molokosky S I, Sushkov A D 2005 Intense electron and ion beams (Springer-Verlag Berlin Heidelberg(printed in Germany)) pp145 155
[36] [37] Harris J R, Neumann J G, O'Shea P G 2005 Free-Electron Laser Conf. Stanford CA, pp2126, THPP062
[38] [39] [40] Haber I 2005 Proceedings of 2005 Particle Accelerator Conference, Knoxville, Tennessee pp29082910
[41] [42] Haber I 2004 Nuclear Instruments and Methods A 519 396
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