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相對論修正下的寬電子束聚焦的普遍理論

周立偉,  金偉其,  倪國強,  史萬宏

周立偉, 金偉其, 倪國強, 史萬宏. 相對論修正下的寬電子束聚焦的普遍理論[J]. 電子與信息學報, 1988, 10(6): 520-527.
引用本文: 周立偉, 金偉其, 倪國強, 史萬宏. 相對論修正下的寬電子束聚焦的普遍理論[J]. 電子與信息學報, 1988, 10(6): 520-527.
Zhou Liwei, Jin Weiqi, Ni Guoqiang, Shi Wanhong. ON THE RELATIVISTIC GENERALIZED THEORY OF WIDE ELECTRON BEAM FOCUSING[J]. Journal of Electronics & Information Technology, 1988, 10(6): 520-527.
Citation: Zhou Liwei, Jin Weiqi, Ni Guoqiang, Shi Wanhong. ON THE RELATIVISTIC GENERALIZED THEORY OF WIDE ELECTRON BEAM FOCUSING[J]. Journal of Electronics & Information Technology, 1988, 10(6): 520-527.

相對論修正下的寬電子束聚焦的普遍理論

ON THE RELATIVISTIC GENERALIZED THEORY OF WIDE ELECTRON BEAM FOCUSING

  • 摘要: 本文由曲線坐標系下的相對論修正普遍軌跡方程出發(fā),考慮包含陰極物面的寬電子束聚焦的情況,推導了曲線坐標系下的主軌跡方程與曲近軸軌跡方程,研究了滿足正交條件的近軸系統(tǒng)的特性。曲線坐標系下的細電子束聚焦問題以及非相對論修正的寬電子束聚焦問題均可視為本文的特例。
    Abstract: Based on the relativistic general trajectory equations solved by the tensor method in a Frenet lecal coordinate system, considering the characteristics of wide electron beam focusing possessing a cathode surface, equations of the principal trajectory and the curvilinear paraxial trajectory are deduced. The characteristics of the curvilinear paraxial system satisfying the orthogonal condition are studied. Problems concerning narrow electron beam focusing or non-relativistic wide electron beam focusing in a curvilinear coordinate system can be regarded as special cases thereof.
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  • Г.А.Гринберг Избранные Вопросы Математической Теорой Электрических и Магнитных Явлений, Изд. АН.СССР,М-Л,1948.[2]Г.А.Гринберг, ДАН СССР, 37(1942), 197-204; 295-303; 38(1943), 89-96.[3]Г.А.Гринберг, ЖТФ, 13(1943), 361-358.[4]P. A. Sturrock, Static and Dynamic Electron Optics, Cambridge at The University Press, 1955.[5]P. A. Sturrock, The Imaging Properties of Electron Beams in Arbitrary Static Electromagnetic Fields, Phil. Trans, A245(1952), 155-187.[6]Zhou Liwei, Optics of Wide Electron Beam Focusing Electron Optical System, SEM, Inc., (1984), 45-62.[7]Zhou Liwei, A Generalized Theory of Wide Electron Beam Focusing, Advances in Electronics and Electron Physics, Vol. 64 B, (1985), 575-589.[8]Zhou Liwei, Ni Guoqiang, Qiu Baicang, Tensor Analysis of Electron Motion in Curvilinear Coordinate Systems, Proceeding of the International Symposium on Electron Optics, Beijing, Sept. 9-13, 1986.[9]西門紀業(yè),物理學報,13(1957), 339-356.[10]周立偉,艾克聰,潘順巨,物理學報,32(1983), 376-391.[11]方二倫,馮熾濤,周立偉,光電技術(shù),1980年,第2-3期,第71-81頁.
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  • 文章訪問數(shù):  2044
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出版歷程
  • 收稿日期:  1987-07-04
  • 修回日期:  1987-12-24
  • 刊出日期:  1988-11-19

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