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将从近轴解出发研究两电极静电同心球系统的空-时轨迹及其像差.由近轴轨迹方程和近轴运动方程出发,先求解两电极静电同心球系统中自光阴极逸出的运动电子的近轴空间-时间轨迹,然后讨论此系统的静动态电子光学及其空间-时间像差,揭示近轴光学系统成像的一般规律.文中定义和推导了各级近轴空间像差和近轴时间像差,得到了与关于近轴空间-时间像差同样的结论,表明完全可以直接由近轴轨迹方程和近轴运动方程出发来研究理想成像及其空间-时间像差.
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关键词:
- 静态和动态成像的电子光学 /
- 近轴电子光学 /
- 近轴空间像差和时间像差 /
- 两电极静电同心球系统
In this paper, we use the paraxial equations to study the spatial-temporal trajectories and their aberrations for a bi-electrode concentric spherical system with electrostatic focusing. In the present paper, starting from the paraxial ray equation and the paraxial motion equation, the paraxial spatial-temporal trajectory of moving electron emitted from the photocathode is obtained for a bi-electrode concentric spherical system with electrostatic focusing. The paraxial static and dynamic electron optics, as well as the paraxial spatial-temporal aberrations in this system are then discussed, the general regularity of imaging in paraxial optical system has been explored. The paraxial spatial aberrations, as well as the paraxial temporal aberrations with different orders, have been defined and deduced. Thus we get same conclusions about paraxial spatial and temporal aberrations as it has been given in paper[1], and it completely shows that the paraxial spatial-temporal aberrations can be investigated directly from the paraxial ray equation and paraxial motion equation.-
Keywords:
- Static and dynamic imaging electron optics /
- paraxial spatial aberrations and temporal aberrations /
- a bi-electrode concentric spherical system with electrostatic focusing /
[1] Zhou L W, Gong H, Zhang Z Q, Zhang Y F 2010 Acta Phys. Sin. 59 5451 (in Chinese) [周立伟、公 慧、张智诠、张轶飞 2010 物理学报 59 5451]
[2] Ximen J Y 1957 Acta Phys. Sin. 13 339(in Chinese) [西门纪业 1957 物理学报 13 339]
[3] 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 物理学报 32 376]
[4] Ximen J Y, Zhou L W, Ai K C 1983 Acta Phys. Sin. 32 1536 (in Chinese)[西门纪业、周立伟、艾克聪 1983 物理学报 32 1536]
[5] 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 物理学报 35 1199]
[6] 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 物理学报 35 1210]
[7] Zhou L W 1993 Electron Optics with Wide Beam Focusing (Beijing: Beijing Institute of Technology Press ) p113 (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页]
[8] Zhou L W 1994 Focusing and Imaging of Wide Electron Beams―Selected Papers on Electron Optics by Zhou Liwei (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]
[9] Artimovich L A 1944 Bulletin of Academy of Sciences. USSR. Physics series 8 313(in Russian)
[10] Recknagel A 1941 Z. Angew Physik 117 689 (in German)
[11] Savoisky Y K, Fanchenko S D 1956 Report of Academy of Sciences USSR 108 218 (in Russian)
[12] Csorba I P 1971 RCA Review 32 650
[13] Zhou L W, Li Y, Zhang Z Q, Monastyrski M A, Schelev M Y 2005 Acta Phys. Sin. 54 3597 (in Chinese) [周立伟、李 元、张智诠、Monastyrski M A, Schelev M Y 2005 物理学报 54 3596]
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[1] Zhou L W, Gong H, Zhang Z Q, Zhang Y F 2010 Acta Phys. Sin. 59 5451 (in Chinese) [周立伟、公 慧、张智诠、张轶飞 2010 物理学报 59 5451]
[2] Ximen J Y 1957 Acta Phys. Sin. 13 339(in Chinese) [西门纪业 1957 物理学报 13 339]
[3] 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 物理学报 32 376]
[4] Ximen J Y, Zhou L W, Ai K C 1983 Acta Phys. Sin. 32 1536 (in Chinese)[西门纪业、周立伟、艾克聪 1983 物理学报 32 1536]
[5] 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 物理学报 35 1199]
[6] 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 物理学报 35 1210]
[7] Zhou L W 1993 Electron Optics with Wide Beam Focusing (Beijing: Beijing Institute of Technology Press ) p113 (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页]
[8] Zhou L W 1994 Focusing and Imaging of Wide Electron Beams―Selected Papers on Electron Optics by Zhou Liwei (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]
[9] Artimovich L A 1944 Bulletin of Academy of Sciences. USSR. Physics series 8 313(in Russian)
[10] Recknagel A 1941 Z. Angew Physik 117 689 (in German)
[11] Savoisky Y K, Fanchenko S D 1956 Report of Academy of Sciences USSR 108 218 (in Russian)
[12] Csorba I P 1971 RCA Review 32 650
[13] Zhou L W, Li Y, Zhang Z Q, Monastyrski M A, Schelev M Y 2005 Acta Phys. Sin. 54 3597 (in Chinese) [周立伟、李 元、张智诠、Monastyrski M A, Schelev M Y 2005 物理学报 54 3596]
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