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In the present paper, based on the practical electron ray equation and the electron motion equation,for a bi-electrode concentric spherical system with electrostatic focusing, the spatial-temporal trajectories of moving electrons emitted from the photocathode are obtained, the exact and the approximate formulae for image position and flight time of electrons are deduced. Starting from the solutions of spatial-temporal trajectories, the electron optical spatial-temporal properties of this system are then discussed. A unified definition of spatial-temporal aberrations is given, in which the lateral aberration can be regarded as a combination of paraxial lateral aberration and geometrical lateral aberration; and the temporal aberration can be regarded as a comibination of paraxial temporal aberration and geometrical temporal aberration. All expressions of these corresponding aberrations are deduced.
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Keywords:
- Static imaging electron optics /
- dynamic imaging electron optics /
- spatial aberrations and temporal aberrations /
- a bi-electrode concentric spherical system with electrostatic focusing
[1] Artimovich L A 1944 Bulletin of Academy of Sciences. USSR. Physics series 8 313(in Russian)
[2] Recknagel A 1941 Z. Angew Physik 117 689 (in German)
[3] Savoisky Y K, Fanchenko S D 1956 Report of Academy of Sciences, USSR 108 218 (in Russian)
[4] Ximen J Y 1957 Acta Phys. Sin. 13 3393 (in Chinese)[西门纪业 1957 13 339]
[5] Zhou L W, Ai K C, Pan S C 1983 Acta Phys. Sin. 32 376 (in Chinese ) [周立伟、艾克聪、潘顺臣 1983 32 376]
[6] Ximen J Y, Zhou L W, Ai K C 1983 Acta Phys. Sin. 32 1536 (in Chinese)[西门纪业 1983 32 1536]
[7] Ai K C, Zhou L W, Ximen J Y 1986 Acta Phys. Sin. 35 1199 (in Chinese)[艾克聪、周立伟、西门纪业 1986 35 1199]
[8] Ai K C, Ximen J Y, Zhou L W 1986 Acta Phys. Sin. 35 1210 (in Chinese)[艾克聪、西门纪业、周立伟 1986 35 1210]
[9] Ruska E 1933 Z. Angew Physik. 83 684 (in German)
[10] Schagen P, Bruining H, Francken J C 1952 Philips Res.Rep. 7 119
[11] Zhou L W 1993 Electron Optics with Wide Beam Focusing (Beijing: Beijing Institute of Technology Press) p113—115 (in Chinese) [周立伟 1993《宽束电子光学》(北京:北京理工大学出版社)第113—115页]
[12] Zhou L W 1994 Focusing and Imaging of Wide Electron Beams―Selected Papers on Electron Optics by Zhou L W(Beijing: Beijing Institute of Technology Press )p11—29(in Chinese)[周立伟 1994 宽电子束聚焦与成像—周立伟电子光学学术论文选(北京:北京理工大学出版社)第11—29页]
[13] Csorba I P 1971 RCA Review 32 650
[14] Zhou L W, Li Y, Zhang Z Q, Monastyrski M A, Schelev M Y 2005 Acta Phys. Sinica 54 3596 (in Chinese) [周立伟、李 元、张智诠 Monastyrski M A, Schelev M Y 2005 54 3596]
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[1] Artimovich L A 1944 Bulletin of Academy of Sciences. USSR. Physics series 8 313(in Russian)
[2] Recknagel A 1941 Z. Angew Physik 117 689 (in German)
[3] Savoisky Y K, Fanchenko S D 1956 Report of Academy of Sciences, USSR 108 218 (in Russian)
[4] Ximen J Y 1957 Acta Phys. Sin. 13 3393 (in Chinese)[西门纪业 1957 13 339]
[5] Zhou L W, Ai K C, Pan S C 1983 Acta Phys. Sin. 32 376 (in Chinese ) [周立伟、艾克聪、潘顺臣 1983 32 376]
[6] Ximen J Y, Zhou L W, Ai K C 1983 Acta Phys. Sin. 32 1536 (in Chinese)[西门纪业 1983 32 1536]
[7] Ai K C, Zhou L W, Ximen J Y 1986 Acta Phys. Sin. 35 1199 (in Chinese)[艾克聪、周立伟、西门纪业 1986 35 1199]
[8] Ai K C, Ximen J Y, Zhou L W 1986 Acta Phys. Sin. 35 1210 (in Chinese)[艾克聪、西门纪业、周立伟 1986 35 1210]
[9] Ruska E 1933 Z. Angew Physik. 83 684 (in German)
[10] Schagen P, Bruining H, Francken J C 1952 Philips Res.Rep. 7 119
[11] Zhou L W 1993 Electron Optics with Wide Beam Focusing (Beijing: Beijing Institute of Technology Press) p113—115 (in Chinese) [周立伟 1993《宽束电子光学》(北京:北京理工大学出版社)第113—115页]
[12] Zhou L W 1994 Focusing and Imaging of Wide Electron Beams―Selected Papers on Electron Optics by Zhou L W(Beijing: Beijing Institute of Technology Press )p11—29(in Chinese)[周立伟 1994 宽电子束聚焦与成像—周立伟电子光学学术论文选(北京:北京理工大学出版社)第11—29页]
[13] Csorba I P 1971 RCA Review 32 650
[14] Zhou L W, Li Y, Zhang Z Q, Monastyrski M A, Schelev M Y 2005 Acta Phys. Sinica 54 3596 (in Chinese) [周立伟、李 元、张智诠 Monastyrski M A, Schelev M Y 2005 54 3596]
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