THEORY OF NONLINEAR SPACE-CHARGE EFFECTS OF LOW ENERGY INTENSE CHARGED PARTICLE BEAMS

Yu Qing-chang

Chinese Physics C> 1980, Vol. 4> Issue(5) : 579-587

THEORY OF NONLINEAR SPACE-CHARGE EFFECTS OF LOW ENERGY INTENSE CHARGED PARTICLE BEAMS

Yu Qing-chang

Institute of High Energy Physics, Academia Sinica

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Abstract：
Nonlinear space-charge effects of low energy intense charged particle beams arestudied by analytical method. The relation between changes of emittance diagramsand initial current density distributions for zero temperature beams is deter-mined. Approximate methods for calculating changes of emittance diagrams for beamsof small temperature under the action of nonlinear space-charge field and increment ofeffective emittance of beams are obtained.

References

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C. S. Taylor, CER1V MPS/Int. LIN 69-14.[2] A. J. Daviea, Nucl. Instr. Meth.,80(1970), 45.[3] P. M. Lapoatolle. Proc. 7th Inter. Conf. on High Energy Accelerators, Yerevan, 1969, Vol. 1, 205.[4] C. S. Taylor et al., Proc. 7th Inter. Conf. on High Eaergy Accelerators, Yerevan, 1969, Vol, 1.213.[5] A, J. Davies, Proc. 1970 Proton Linear cceleraxor Conf., Batavia, Vol. 2, 791.[6] P. Tanau9, Proc. 1970 Proton Linear Accelerator Conf. Batavia. Vol. 2. 771.[7]Y. S. Kuznetsov et al., Proc. 8th Inter, Conf, on High Energy Accelerators, CERN, 1971, 384.[8]H. C.Зинченко, KypcЛeкций ло Электроиной Ошике, изд. Харък. Yнив.,1958, (中译本: 电子光学教程,人民教育出版社,1961).[9]G. A. Nagy and M. Szitagyi, Introduction to the Theory of Sace-Charge Optics, Akademiai Kiado, Budapest, 1974.[10]B. C. Kyзнeцoв, Paциoтexникa и Элeктpoникa, 7(1962), 1385.[11]E. Hara., Nucl. Instr. Meth., 63 (1968), 313.[12]郁庆长,强流离子束的传输矩阵理论(待发表).

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Yu Qing-chang. THEORY OF NONLINEAR SPACE-CHARGE EFFECTS OF LOW ENERGY INTENSE CHARGED PARTICLE BEAMS[J]. Chinese Physics C, 1980, 4(5): 579-587.

Yu Qing-chang. THEORY OF NONLINEAR SPACE-CHARGE EFFECTS OF LOW ENERGY INTENSE CHARGED PARTICLE BEAMS[J]. Chinese Physics C, 1980, 4(5): 579-587. shu

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Received: 1979-07-09
Revised: 1900-01-01

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