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Some properties of the envelope equations used in the design and adjustment of electron-optical beams

  • Electron and Ion Beams, Accelerators
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Abstract

An analytical transformation of the usual envelope equations is used to derive scale transformation equations for a first-order electron-optic lens. Analysis of these equations, which take into account both the particle temperature and the particle space charge, leads to the identification of certain general principles for constructing and scaling beam systems of various types. The properties of the transformation are illustrated by the example of the equations for an axisymmetric electrostatic lens.

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References

  1. G. Swain, P. Busch, and M. Burns, Proceedings of the 1989 IEEE Particle Accelerator Conference, Chicago, Ill., 1989, p. 598.

  2. I. P. Yudin, in Proceedings of the 1993 IEEE Particle Accelerator Conference, Washington, D.C., 1993, p. 191.

  3. G. E. Lee-Whiting and N. Bezic, Nucl. Instrum. Methods 71, 61 (1969).

    Article  Google Scholar 

  4. K. Takayama, Part. Accel. 21, 259 (1987).

    Google Scholar 

  5. J. Picht, in Einführung in die Theorie der Elektronenoptik, 2nd ed. (Leipzig, 1957), p. 137.

  6. N. I. Tarantin, Magnetic Static Charged-Particle Analyzers: Fields and Linear Optics [in Russian], Énergoatomizdat, Moscow (1986), pp. 31–36.

    Google Scholar 

  7. Yu. V. Zuev, Preprint NIIEFA No. P-0940 [in Russian], TsNII Atominform, Moscow, 1995.

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Zh. Tekh. Fiz. 68, 96–102 (January 1998)

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Zuev, Y.V. Some properties of the envelope equations used in the design and adjustment of electron-optical beams. Tech. Phys. 43, 86–92 (1998). https://doi.org/10.1134/1.1258942

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  • DOI: https://doi.org/10.1134/1.1258942

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