Convective and nonconvective ion beam filamentation instabilities

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The electromagnetic filamentation instability is expected to occur in heavy ion beam fusion target chambers. For a converging beam, the instability is expected to be convective with group velocity V/sub g/ approaching the beam velocity V/sub b/ until the beam is approx. 10-50 cm from the target. The number of e-foldings N/sub ..gamma../ is estimated by integrating the local growth rate along the beam trajectory. For a cold beam, the result agrees with the initial value problem solution of Lee, et al. Detailed numerical solutions to the full dispersion region predict somewhat lower values for N/sub ..gamma../. Close to the ... continued below

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Pages: 25

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Hubbard, R.F. January 1, 1980.

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The electromagnetic filamentation instability is expected to occur in heavy ion beam fusion target chambers. For a converging beam, the instability is expected to be convective with group velocity V/sub g/ approaching the beam velocity V/sub b/ until the beam is approx. 10-50 cm from the target. The number of e-foldings N/sub ..gamma../ is estimated by integrating the local growth rate along the beam trajectory. For a cold beam, the result agrees with the initial value problem solution of Lee, et al. Detailed numerical solutions to the full dispersion region predict somewhat lower values for N/sub ..gamma../. Close to the target, v/sub g/ ..-->.. 0, and the instability is effectively nonconvective, with N/sub ..gamma../ proportional to the pulse length. If a realistic conductivity model is used (sigma approx. (Z/sub b//R)/sup 2/), the number of e-foldings in the nonconvective region is generally smaller than N/sub ..gamma../ in the convective region. Thus, any appreciable deterioration in beam quality is more likely to occur while the beam is in the convective region.

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Pages: 25

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Dep. NTIS, PC A02/MF A01.

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  • Heavy ion fusion workshop, Berkeley, CA, USA, 29 Oct 1979

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  • Report No.: CONF-7910122-11
  • Grant Number: AC08-79DP40101
  • Office of Scientific & Technical Information Report Number: 5507835
  • Archival Resource Key: ark:/67531/metadc1087452

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  • January 1, 1980

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  • Feb. 10, 2018, 10:06 p.m.

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  • Feb. 21, 2018, 2:44 p.m.

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Hubbard, R.F. Convective and nonconvective ion beam filamentation instabilities, article, January 1, 1980; United States. (digital.library.unt.edu/ark:/67531/metadc1087452/: accessed July 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.